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Heat equations beyond Fourier: From heat waves to thermal metamaterials 超越傅立叶的热方程:从热浪到热超材料
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-11-10 DOI: 10.1016/j.physrep.2023.11.001
R. Kovács

In the past few decades, numerous heat conduction models extending beyond Fourier’s have been developed to account for large gradients, fast phenomena, wave propagation, and heterogeneous material structures typical of biological systems, superlattices, and thermal metamaterials. Navigating through these models has become challenging due to their varying thermodynamic backgrounds and potential compatibility issues. Furthermore, recent discoveries in the field of non-Fourier heat conduction have complicated the interpretation and utilization of specific non-Fourier heat equations, especially when designing materials for the new generation of thermal metamaterials. The situation is further compounded by the existence of numerous modeling strategies in the literature, each offering different interpretations of even the same heat equation. This complexity makes it increasingly difficult to gain a comprehensive understanding of this research field. Therefore, this review aims to facilitate the navigation of advanced heat equations beyond Fourier by discussing their properties and potential practical applications in the context of experiments. We begin with the simplest models and their fundamental principles, progressing toward more complex, coupled phenomena, such as ballistic heat conduction.

We do not delve into the often intricate technical details of each thermodynamic framework or aim to compare each approach from a methodological perspective. Instead, we focus on reviewing models primarily from the Rational Extended Thermodynamics, Extended Irreversible Thermodynamics, and Non-Equilibrium Thermodynamics with Internal Variables frameworks. Additionally, we discuss relevant models from kinetic theory, fractional derivatives, thermomass, and phase lag approaches. We provide background information on these models to highlight their origins, any limitations they may have, and the corresponding stability conditions, if applicable. Furthermore, as the field of non-Fourier heat conduction has become quite segmented, this paper also seeks to establish a common foundation, promoting a comprehensive mutual understanding of the fundamentals of each model and the phenomena to which they can be applied.

在过去的几十年里,已经发展了许多超越傅立叶的热传导模型,以解释大梯度,快速现象,波传播以及生物系统,超晶格和热超材料的典型非均质材料结构。由于它们不同的热力学背景和潜在的兼容性问题,通过这些模型导航变得具有挑战性。此外,最近在非傅立叶热传导领域的发现使特定的非傅立叶热方程的解释和应用变得复杂,特别是在设计新一代热超材料时。文献中存在的众多建模策略使情况进一步复杂化,每种策略对相同的热方程都提供了不同的解释。这种复杂性使得对这一研究领域的全面理解变得越来越困难。因此,本综述旨在通过讨论其性质和在实验背景下的潜在实际应用,促进超越傅里叶的高级热方程的导航。我们从最简单的模型及其基本原理开始,向更复杂的耦合现象发展,如弹道热传导。我们不会深入研究每个热力学框架的复杂技术细节,也不会从方法论的角度比较每种方法。相反,我们主要集中在回顾来自Rational扩展热力学、扩展不可逆热力学和具有内部变量框架的非平衡热力学的模型。此外,我们还讨论了从动力学理论、分数导数、热质量和相位滞后方法的相关模型。我们提供了这些模型的背景信息,以突出它们的起源,它们可能存在的任何限制,以及相应的稳定性条件(如果适用)。此外,由于非傅立叶热传导领域已经变得相当分割,本文也试图建立一个共同的基础,促进对每个模型的基本原理和它们可以应用的现象的全面相互理解。
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引用次数: 0
Discovering causal relations and equations from data 从数据中发现因果关系和方程
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-11-07 DOI: 10.1016/j.physrep.2023.10.005
Gustau Camps-Valls , Andreas Gerhardus , Urmi Ninad , Gherardo Varando , Georg Martius , Emili Balaguer-Ballester , Ricardo Vinuesa , Emiliano Diaz , Laure Zanna , Jakob Runge

Physics is a field of science that has traditionally used the scientific method to answer questions about why natural phenomena occur and to make testable models that explain the phenomena. Discovering equations, laws, and principles that are invariant, robust, and causal has been fundamental in physical sciences throughout the centuries. Discoveries emerge from observing the world and, when possible, performing interventions on the system under study. With the advent of big data and data-driven methods, the fields of causal and equation discovery have developed and accelerated progress in computer science, physics, statistics, philosophy, and many applied fields. This paper reviews the concepts, methods, and relevant works on causal and equation discovery in the broad field of physics and outlines the most important challenges and promising future lines of research. We also provide a taxonomy for data-driven causal and equation discovery, point out connections, and showcase comprehensive case studies in Earth and climate sciences, fluid dynamics and mechanics, and the neurosciences. This review demonstrates that discovering fundamental laws and causal relations by observing natural phenomena is revolutionised with the efficient exploitation of observational data and simulations, modern machine learning algorithms and the combination with domain knowledge. Exciting times are ahead with many challenges and opportunities to improve our understanding of complex systems.

物理学是一门科学领域,传统上使用科学方法来回答有关自然现象发生的原因并建立可测试的模型来解释这些现象。几个世纪以来,发现不变的、健壮的、有因果关系的方程、定律和原理一直是物理科学的基础。发现来自于对世界的观察,并在可能的情况下对所研究的系统进行干预。随着大数据和数据驱动方法的出现,因果关系和方程发现领域得到了发展,并加速了计算机科学、物理学、统计学、哲学和许多应用领域的进步。本文回顾了物理学广泛领域中因果关系和方程发现的概念、方法和相关工作,并概述了最重要的挑战和有希望的未来研究方向。我们还为数据驱动的因果关系和方程发现提供了分类,指出了联系,并展示了地球和气候科学,流体动力学和力学以及神经科学的综合案例研究。这篇综述表明,通过观察自然现象发现基本规律和因果关系是革命性的,因为有效利用观测数据和模拟、现代机器学习算法以及与领域知识的结合。激动人心的时代即将到来,我们将面临许多挑战和机遇,以提高我们对复杂系统的理解。
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引用次数: 0
Iron oxide nanoparticles (Fe3O4, γ-Fe2O3 and FeO) as photothermal heat mediators in the first, second and third biological windows 氧化铁纳米颗粒(Fe3O4, γ-Fe2O3和FeO)在第一、第二和第三生物窗中作为光热介质
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-11-04 DOI: 10.1016/j.physrep.2023.10.003
A.G. Roca , J.F. Lopez-Barbera , A. Lafuente , F. Özel , E. Fantechi , J. Muro-Cruces , M. Hémadi , B. Sepulveda , J. Nogues

Nanotherapies are gaining increased interest for the treatment diverse diseases, particularly cancer, since they target the affected area directly, presenting higher efficacy and reduced side effects than traditional therapies. A promising nanotherapy approach is hyperthermia, where the nanoparticle can induce a local temperature increase by an external stimulus in the sick tissue to selectively kill the malignant cells. Among the diverse hyperthermia methods, photothermia is based on the absorption of light by the nanoparticles and further conversion into heat. Within the very wide range of nanostructured photothermal agents, iron oxides offer remarkable features since they are already approved by the FDA/EMA for various biomedical applications, they are biodegradable, easily manipulated using magnetic fields and can be imaged by diverse techniques. Here, we summarize the advantages of using the second biological window, both from the perspective of the skin and the optical properties of iron oxides. Further, we review the photothermal performance of iron oxide nanoparticles in the first, second and third biological windows. Overall, the results show that, for different types of iron oxide nanoparticles (Fe3O4, γ-Fe2O3, wüstite-FeO), both the heating capacity (i.e., induced temperature increase) and the photothermal conversion efficiency, η, vary in a complex way with the light wavelength, depending critically on the measurement conditions and physiochemical properties of the materials. Despite the spread in the reported photothermal properties of iron oxides, Fe3O4 particles tend to perform better than their γ-Fe2O3 counterparts, particularly in the second biological window. Interestingly, FeO, which has not been exploited so far from a photothermal perspective, shows very appealing absorption properties. Our preliminary studies using FeO/Fe3O4 core/shell nanoparticles evidence that they have excellent photothermal properties, outperforming Fe3O4 in both first and second biological windows. Finally, some applications beyond cancer treatment of iron oxide nanoparticles, exploiting the enhanced properties in the second spectral window, are discussed.

纳米疗法在治疗各种疾病,特别是癌症方面越来越受到关注,因为它们直接针对受影响的区域,比传统疗法具有更高的疗效和减少的副作用。一种很有前途的纳米治疗方法是热疗,其中纳米颗粒可以通过疾病组织中的外部刺激诱导局部温度升高,从而选择性地杀死恶性细胞。在各种热疗方法中,光热疗法是基于纳米颗粒对光的吸收并进一步转化为热量。在非常广泛的纳米结构光热剂中,氧化铁具有显著的特征,因为它们已经被美国食品药品监督管理局/欧洲药品管理局批准用于各种生物医学应用,它们是可生物降解的,使用磁场很容易操作,并且可以通过各种技术成像。在这里,我们从皮肤和氧化铁的光学性质的角度总结了使用第二个生物窗口的优势。此外,我们还回顾了氧化铁纳米颗粒在第一、第二和第三生物窗口中的光热性能。总之,结果表明,对于不同类型的氧化铁纳米颗粒(Fe3O4、γ-Fe2O3、钨铁氧体FeO),热容(即诱导的温度升高)和光热转换效率η都随光波长以复杂的方式变化,这主要取决于测量条件和材料的理化性质。尽管铁氧化物的光热性质有所扩展,但Fe3O4颗粒往往比其γ-Fe2O3颗粒表现更好,特别是在第二个生物窗口中。有趣的是,迄今为止尚未从光热角度开发的FeO显示出非常吸引人的吸收特性。我们使用FeO/Fe3O4核/壳纳米颗粒的初步研究表明,它们具有优异的光热性能,在第一和第二生物窗口中都优于Fe3O4。最后,讨论了氧化铁纳米颗粒在癌症治疗之外的一些应用,利用第二光谱窗口中增强的特性。
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引用次数: 0
Weizmann lectures on the numerical conformal bootstrap Weizmann讲授数值共形自举
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-11-03 DOI: 10.1016/j.physrep.2023.10.008
Shai M. Chester

These lectures were given at the Weizmann Institute in the spring of 2019. They are intended to familiarize students with the nuts and bolts of the numerical bootstrap as efficiently as possible. After a brief review of the basics of conformal field theory in d>2 spacetime dimensions, we discuss how to compute conformal blocks, formulate the crossing equations as a semi-definite programming problem, solve this problem using SDPB on a personal computer, and interpret the results. We include worked examples for all steps, including bounds for 3d CFTs with Z2 or O(N) global symmetries. Each lecture includes a problem set, which culminate in a precise computation of the 3d Ising model critical exponents using the mixed correlator Z2 bootstrap. A Mathematica file is included that transforms crossing equations into the proper input form for SDPB.

这些讲座于2019年春季在魏茨曼研究所举办。它们旨在让学生尽可能有效地熟悉数字引导的细节。在简要回顾了d>;在2个时空维度上,我们讨论了如何计算共形块,将交叉方程公式化为半定规划问题,在个人计算机上使用SDPB解决这个问题,并解释了结果。我们包括了所有步骤的工作示例,包括具有Z2或O(N)全局对称性的三维CFT的边界。每节课都包括一个问题集,最终使用混合相关器Z2 bootstrap精确计算三维伊辛模型临界指数。包括一个Mathematica文件,该文件将交叉方程转换为SDPB的正确输入形式。
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引用次数: 53
Few-body Bose gases in low dimensions—A laboratory for quantum dynamics 低维的少体玻色气体——量子动力学实验室
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-10-30 DOI: 10.1016/j.physrep.2023.10.004
S.I. Mistakidis , A.G. Volosniev , R.E. Barfknecht , T. Fogarty , Th. Busch , A. Foerster , P. Schmelcher , N.T. Zinner

Cold atomic gases have become a paradigmatic system for exploring fundamental physics, which at the same time allows for applications in quantum technologies. The accelerating developments in the field have led to a highly advanced set of engineering techniques that, for example, can tune interactions, shape the external geometry, select among a large set of atomic species with different properties, or control the number of atoms. In particular, it is possible to operate in lower dimensions and drive atomic systems into the strongly correlated regime. In this review, we discuss recent advances in few-body cold atom systems confined in low dimensions from a theoretical viewpoint. We mainly focus on bosonic systems in one dimension and provide an introduction to the static properties before we review the state-of-the-art research into quantum dynamical processes stimulated by the presence of correlations. Besides discussing the fundamental physical phenomena arising in these systems, we also provide an overview of the calculational and numerical tools and methods that are commonly used, thus delivering a balanced and comprehensive overview of the field. We conclude by giving an outlook on possible future directions that are interesting to explore in these correlated systems.

冷原子气体已经成为探索基础物理的典范系统,同时也允许在量子技术中应用。该领域的加速发展导致了一套高度先进的工程技术,例如,这些技术可以调节相互作用,塑造外部几何形状,在一大组具有不同性质的原子物种中进行选择,或控制原子数量。特别是,有可能在较低的维度上运行,并将原子系统驱动到强相关状态。在这篇综述中,我们从理论角度讨论了限制在低维的少体冷原子系统的最新进展。我们主要关注一维玻色子系统,并介绍了其静态性质,然后我们回顾了由相关性激发的量子动力学过程的最新研究。除了讨论这些系统中出现的基本物理现象外,我们还概述了常用的计算和数值工具和方法,从而对该领域进行了平衡和全面的概述。最后,我们对这些相关系统中值得探索的未来可能方向进行了展望。
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引用次数: 4
Experimental signatures of quantum and topological states in frustrated magnetism 受挫磁中量子态和拓扑态的实验特征
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-10-28 DOI: 10.1016/j.physrep.2023.09.008
J. Khatua , B. Sana , A. Zorko , M. Gomilšek , K. Sethupathi , M.S. Ramachandra Rao , M. Baenitz , B. Schmidt , P. Khuntia

Frustration in magnetic materials arising from competing exchange interactions can prevent the system from adopting long-range magnetic order and can instead lead to a diverse range of novel quantum and topological states with exotic quasiparticle excitations. Here, we review prominent examples of such states, including magnetically-disordered and extensively degenerate spin ices with emergent magnetic monopole excitations, highly-entangled quantum spin liquids with fractional spinon excitations, topological order, and emergent gauge fields, as well as complex particle-like topological spin textures known as skyrmions. We provide an overview of recent advances in the search for magnetically-disordered candidate materials on the three-dimensional pyrochlore lattice and two-dimensional triangular, kagome and honeycomb lattices, the latter with bond-dependent Kitaev interactions, and on lattices supporting topological magnetism. We highlight experimental signatures of these often elusive phenomena and single out the most suitable experimental techniques that can be used to detect them. Our review also aims at providing a comprehensive guide for designing and investigating novel frustrated magnetic materials, with the potential of addressing some important open questions in contemporary condensed matter physics.

竞争性交换相互作用引起的磁性材料的挫折可能会阻止系统采用长程磁序,并可能导致具有奇异准粒子激发的各种新量子和拓扑状态。在这里,我们回顾了这种状态的突出例子,包括具有涌现磁单极子激发的磁无序和广泛简并的自旋冰,具有分数旋子激发的高度纠缠量子自旋液体,拓扑序和涌现规范场,以及被称为skyrmions的复杂类粒子拓扑自旋纹理。我们概述了在三维烧绿石晶格和二维三角形、kagome和蜂窝晶格上寻找磁无序候选材料的最新进展,后者具有键依赖的Kitaev相互作用,以及在支持拓扑磁性的晶格上。我们强调了这些往往难以捉摸的现象的实验特征,并挑选出最合适的实验技术来检测它们。我们的综述还旨在为设计和研究新型受抑磁性材料提供全面的指导,有可能解决当代凝聚态物理学中的一些重要开放问题。
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引用次数: 1
Wave Turbulence and thermalization in one-dimensional chains 一维链中的波浪湍流和热化
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-10-25 DOI: 10.1016/j.physrep.2023.09.006
M. Onorato , Y.V. Lvov , G. Dematteis , S. Chibbaro

One-dimensional chains are used as a fundamental model of condensed matter, and have constituted the starting point for key developments in nonlinear physics and complex systems. The pioneering work in this field was proposed by Fermi, Pasta, Ulam and Tsingou in the 50s in Los Alamos. An intense and fruitful mathematical and physical research followed during these last 70 years. Recently, a fresh look at the mechanisms at the route of thermalization of such systems has been provided through the lens of the Wave Turbulence approach. In this review, we give a critical summary of the results obtained in this framework. We also present a series of open problems and challenges that future work needs to address.

一维链被用作凝聚态的基本模型,并构成了非线性物理和复杂系统关键发展的起点。这一领域的开创性工作是由费米、帕斯塔、乌兰和青欧于50年代在洛斯阿拉莫斯提出的。在过去的70年里,一项紧张而富有成果的数学和物理研究接踵而至。最近,通过波浪湍流方法的透镜,对这种系统的热化过程中的机制进行了新的研究。在这篇综述中,我们对在该框架中获得的结果进行了批判性总结。我们还提出了未来工作需要解决的一系列悬而未决的问题和挑战。
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引用次数: 1
Tetraquarks and pentaquarks in lattice QCD with light and heavy quarks 具有轻夸克和重夸克的晶格QCD中的四夸克和五夸克
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-10-18 DOI: 10.1016/j.physrep.2023.10.001
Pedro Bicudo

We review how lattice QCD can contribute to the prediction and the comprehension of tetraquarks, pentaquarks and related exotic hadrons such as hybrids, with at least one heavy quark. We include all families of exotic hadrons, except for the quarkless glueballs, and the hexaquarks which are related to nuclear physics.

Since the discovery of quarks and the development of the QCD theory, there has been a large interest in exotic hadrons, initiated by the tetraquark models developed by Jaffe in 1977. Lattice QCD, being a first principle approach to solve non-perturbative QCD, has been crucial not only to compute precise results, but also to motivate and inspire research in hadronic physics, with particular interest in exotic hadrons.

In the new millennium, this interest exploded with several experimental discoveries of tetraquark and pentaquark resonances with heavy quarks, starting with the Zc and Zb. So far, lattice QCD has not yet been able to comprehend this Z class of tetraquarks, and is developing new methods to determine their masses, decay widths and decay processes.

The interest in tetraquarks was also fuelled by the lattice QCD prediction of a second class of tetraquarks such as the Tbb, boundstates in the sense of having no strong decays. Very recently, the Tcc tetraquark first predicted with quark models in 1982 by Richard et al, was observed experimentally. We expect the lattice QCD community will be able to explore this T class of tetraquarks in more detail and with very precise results.

We report on all the different direct and indirect approaches that lattice QCD, so far with most focus on tetraquarks, has been employing to study exotic hadrons with at least one heavy quark. We also briefly review the experimental progress in observing tetraquarks and pentaquarks, and the basic theoretical paradigms of tetraquarks, including three different types of mechanisms (diquark, molecular and s pole), comparing them with the results of lattice QCD. We aim to show the journey of Lattice QCD in the exploration of these fascinating and subtle hadrons.

我们回顾了晶格QCD如何有助于预测和理解四夸克、五夸克和相关的奇异强子,如至少有一个重夸克的杂化强子。除了与核物理有关的无夸克胶球和六夸克外,我们包括了所有奇异强子家族。自从夸克的发现和QCD理论的发展以来,人们对奇异强子产生了极大的兴趣,这是由Jaffe于1977年开发的四夸克模型引起的。格点QCD作为求解非微扰QCD的第一原理方法,不仅对计算精确的结果至关重要,而且对激励和启发强子物理学的研究也至关重要,尤其是对奇异强子的研究。在新的千年里,从Zc和Zb开始,随着四夸克和五夸克与重夸克共振的几项实验发现,这种兴趣爆发了。到目前为止,晶格QCD还不能理解Z类四夸克,并且正在开发新的方法来确定它们的质量、衰变宽度和衰变过程。对第二类四夸克(如Tbb)的晶格QCD预测也激发了人们对四夸克的兴趣,即在没有强衰变的意义上的结合态。最近,Richard等人在1982年首次用夸克模型预测了Tcc四夸克,并在实验中观察到了它。我们希望晶格QCD社区能够更详细地探索这类T四夸克,并获得非常精确的结果。我们报道了晶格QCD(迄今为止主要关注四夸克)用于研究至少有一个重夸克的奇异强子的所有不同的直接和间接方法。我们还简要回顾了观察四夸克和五夸克的实验进展,以及四夸克的基本理论范式,包括三种不同类型的机制(二夸克、分子和s极),并将其与晶格QCD的结果进行了比较。我们旨在展示晶格QCD在探索这些迷人而微妙的强子方面的历程。
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引用次数: 7
A review on shear jamming 剪切干扰研究综述
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-10-14 DOI: 10.1016/j.physrep.2023.10.002
Deng Pan , Yinqiao Wang , Hajime Yoshino , Jie Zhang , Yuliang Jin

Jamming is a ubiquitous phenomenon that appears in many soft matter systems, including granular materials, foams, colloidal suspensions, emulsions, polymers, and cells — when jamming occurs, the system undergoes a transition from flow-like to solid-like states. Conventionally, the jamming transition occurs when the system reaches a threshold jamming density under isotropic compression, but recent studies reveal that jamming can also be induced by shear. Shear jamming has attracted much interest in the context of non-equilibrium phase transitions, mechanics and rheology of amorphous materials. Here we review the phenomenology of shear jamming and its related physics. We first describe basic observations obtained in experiments and simulations, and results from theories. Shear jamming is then demonstrated as a “bridge” that connects the rheology of athermal soft spheres and thermal hard spheres. Based on a generalized jamming phase diagram, a universal description is provided for shear jamming in frictionless and frictional systems. We further review the isostaticity and criticality of the shear jamming transition, and the elasticity of shear jammed solids. The broader relevance of shear jamming is discussed, including its relation to other phenomena such as shear hardening, dilatancy, fragility, and discrete shear thickening.

堵塞是一种普遍存在的现象,出现在许多软物质系统中,包括颗粒材料、泡沫、胶体悬浮液、乳液、聚合物和细胞——当发生堵塞时,系统会从流动状态转变为固体状态。传统上,当系统在各向同性压缩下达到阈值干扰密度时,就会发生干扰转变,但最近的研究表明,剪切也可能引起干扰。剪切干扰在非平衡相变、非晶态材料的力学和流变学方面引起了人们的极大兴趣。在这里,我们回顾了剪切干扰现象学及其相关物理学。我们首先描述了在实验和模拟中获得的基本观测结果,以及理论结果。剪切干扰被证明是连接无热软球和热硬球流变学的“桥梁”。基于广义干扰相位图,对无摩擦系统和摩擦系统中的剪切干扰进行了通用描述。我们进一步回顾了剪切-堵塞过渡的均衡性和临界性,以及剪切-堵塞固体的弹性。讨论了剪切干扰的更广泛相关性,包括它与其他现象的关系,如剪切硬化、剪胀、脆性和离散剪切增厚。
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引用次数: 1
Non-linear temperature dependent Raman parametric changes: An identification of Fano intervened systems 非线性温度相关拉曼参数变化:Fano介入系统的识别
IF 3 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-10-14 DOI: 10.1016/j.physrep.2023.09.007
Chanchal Rani Ph.D. , Manushree Tanwar Ph.D. , Tanushree Ghosh Ph.D. , Suchita Kandpal Ph.D. , Shailendra K. Saxena Ph.D. , Rajesh Kumar Ph.D.

Raman spectroscopy, since its discovery in 1928, left millions of footprints touching almost all researchers coming from multidisciplinary research areas and has established itself as an extremely important analytical tool. In recent times, it also has exhibited capabilities to get information about non-traditional physical processes in a material at microscopic levels. For example, the manifestation of temperature/thermal effect on a Raman spectrum. Conventionally termed anharmonic effect has been widely explored in various materials using Raman spectroscopy in elemental semiconductors (Si, Ge), binary materials (GaAs, Si-Ge), two-dimensional layered materials (Graphene, MoS 2, WS2), and transition metal oxides (TiO 2, Fe2O3). Anharmonic effects manifest themselves in terms of shift in Raman peak position and broadening in the Raman spectra as a consequence of change in phonon energy and lifetime respectively. A lot of studies are available for temperature dependent Raman spectra which followed the phonon annihilation theory of Balkanski, but there are some materials which do not follow the traditional anharmonic trend only, also show some nonlinear trend with temperature. Deviation from the anharmonic theory in various materials like graphene, heavily doped silicon, thin films and some complex materials raised due to various reasons such as band structure, doping concentration, thickness of the film, etc. which causes the electron–phonon interaction or inherent phase transition in the material. Temperature dependent nonlinear behavior of Raman spectra has been given a very less attention and requires a wide study. Although the materials which show divergence from Balkanski’s anharmonic theory, show the predominance of electron–phonon interaction but at certain temperature anharmonic effect also take part which also needs to be explored and summarized in a perspective framework. A detailed review of available work in this less touched area has been presented here so as to give a different approach to analyze the effect of thermal perturbations on Raman line-shape. A compilation of temperature dependent Raman study from different range of materials has been presented and any observed deviation from the well-known anharmonic theory has been highlighted and possible reason for such deviation has been provided.

拉曼光谱自1928年发现以来,几乎所有来自多学科研究领域的研究人员都留下了数百万个脚印,并已成为一种极其重要的分析工具。近年来,它还展示了在微观层面获取材料中非传统物理过程信息的能力。例如,温度/热效应在拉曼光谱上的表现。在元素半导体(Si,Ge)、二元材料(GaAs,Si-Ge)、二维层状材料(石墨烯、MoS2、WS2)和过渡金属氧化物(TiO2,Fe2O3)中,使用拉曼光谱在各种材料中广泛探索了传统上称为非谐效应的效应。非谐波效应表现为拉曼峰位置的偏移和拉曼光谱的加宽,这分别是声子能量和寿命变化的结果。对于温度相关的拉曼光谱,已有许多研究遵循Balkanski的声子湮灭理论,但也有一些材料不仅遵循传统的非谐趋势,而且随着温度的变化呈现出一些非线性趋势。石墨烯、重掺杂硅、薄膜和一些复杂材料等各种材料由于能带结构、掺杂浓度、薄膜厚度等原因,偏离了非谐理论,导致材料中的电子-声子相互作用或固有相变。拉曼光谱的温度相关非线性行为很少受到关注,需要进行广泛的研究。尽管与Balkanski的非谐理论不同的材料显示出电子-声子相互作用的优势,但在一定温度下也存在非谐效应,这也需要在一个透视框架中进行探索和总结。本文对这一较少接触区域的可用工作进行了详细回顾,以提供一种不同的方法来分析热扰动对拉曼线形状的影响。对不同材料范围的温度相关拉曼研究进行了汇编,并强调了任何观察到的与众所周知的非谐理论的偏差,并提供了这种偏差的可能原因。
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