Jiaqi Wu, Hui Tan, Rui Cao, Jianmin Yuan, Yongqiang Li
{"title":"Orbital phases of $p$-band ultracold fermions in the frustrated triangular lattice","authors":"Jiaqi Wu, Hui Tan, Rui Cao, Jianmin Yuan, Yongqiang Li","doi":"arxiv-2407.00932","DOIUrl":null,"url":null,"abstract":"Orbital degrees of freedom play an important role for understanding the\nemergence of unconventional quantum phases. Ultracold atomic gases in optical\nlattices provide a wonderful platform to simulate orbital physics. In this\nwork, we consider spinless fermionic atoms loaded into $p$-orbital bands of a\ntwo-dimensional frustrated triangular lattice. The system can be described by\nan extended Fermi-Hubbard model, which is numerically solved by using the\norbital version of real-space dynamical mean-field theory. Low-temperature\nphase diagrams are obtained, which contain stripe-, ferro- and para-orbital\nordered quantum phases, due to the interplay of anisotropic hoppings and\ngeometrical frustration. In order to understand the underlying mechanics of\ncompeting orbital orders, we derive an effective orbital-exchange model, which\nyields consistent explanation with our main numerical results.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"124 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Gases","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.00932","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Orbital degrees of freedom play an important role for understanding the
emergence of unconventional quantum phases. Ultracold atomic gases in optical
lattices provide a wonderful platform to simulate orbital physics. In this
work, we consider spinless fermionic atoms loaded into $p$-orbital bands of a
two-dimensional frustrated triangular lattice. The system can be described by
an extended Fermi-Hubbard model, which is numerically solved by using the
orbital version of real-space dynamical mean-field theory. Low-temperature
phase diagrams are obtained, which contain stripe-, ferro- and para-orbital
ordered quantum phases, due to the interplay of anisotropic hoppings and
geometrical frustration. In order to understand the underlying mechanics of
competing orbital orders, we derive an effective orbital-exchange model, which
yields consistent explanation with our main numerical results.