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We demonstrate the realization of topological band structures by exploiting the intrinsic spin-orbit coupling of dipolar interactions in combination with broken time-reversal symmetry. The system is based on polar molecules trapped in a…

Flat-band physics has attracted much attention in recently years because of its interesting properties and important applications. Some typical lattices have been proposed to generate flat bands, such as Kagome and Lieb lattices. The flat…

Materials Science · Physics 2021-08-17 Siwen Li , Yuee Xie , Yuanping Chen

Ultracold fermions trapped in a honeycomb optical lattice constitute a versatile setup to experimentally realize the Haldane model [Phys. Rev. Lett. 61, 2015 (1988)]. In this system, a non-uniform synthetic magnetic flux can be engineered…

Quantum Gases · Physics 2013-01-15 N. Goldman , E. Anisimovas , F. Gerbier , P. Ohberg , I. B. Spielman , G. Juzeliunas

Kagome lattice has been actively studied for the possible realization of frustration-induced two-dimensional flat bands and a number of correlation-induced phases. Currently, the search for kagome systems with a nearly dispersionless flat…

Strongly Correlated Electrons · Physics 2024-06-27 Subhasis Samanta , Hwiwoo Park , Chanhyeon Lee , Sungmin Jeon , Hengbo Cui , Yong-Xin Yao , Jungseek Hwang , Kwang-Yong Choi , Heung-Sik Kim

Optical lattices play a versatile role in advancing our understanding of correlated quantum matter. The recent implementation of orbital degrees of freedom in chequerboard and hexagonal optical lattices opens up a new thrust towards…

Quantum Gases · Physics 2012-08-16 Kai Sun , W. Vincent Liu , Andreas Hemmerich , S. Das Sarma

We study the attractive Hubbard model with spin imbalance on two lattices featuring a flat band: the Lieb and kagome lattices. We present mean-field phase diagrams featuring exotic superfluid phases, similar to the…

Fractional Chern insulators (FCI) were proposed theoretically about a decade ago. These exotic states of matter are fractional quantum Hall states realized when a nearly flat Chern band is partially filled, even in the absence of an…

Strongly Correlated Electrons · Physics 2023-12-12 Xiaodong Hu , Di Xiao , Ying Ran

We propose a generalized composite fermion (CF) theory for fractional Chern insulators (FCIs) by adapting the quantum mechanics approach of CFs. The theoretical framework naturally produces an effective CF Hamiltonian and a wavefunction…

Strongly Correlated Electrons · Physics 2025-09-12 Hao Jin , Junren Shi

We propose a novel approach to study the topological properties of matter. In this approach, fermionic atoms are placed in an external magnetic field and in a two-dimensional spin-dependent optical lattice (SDOL) created by intersecting…

Quantum Gases · Physics 2024-12-13 Igor Kuzmenko , Mirosław Brewczyk , Grzegorz Łach , Marek Trippenbach , Y. B. Band

Realizing new classes of ground states in strongly correlated electron systems continues to be at the forefront of condensed matter physics. Heavy-fermion materials, whose electronic structure is essentially three-dimensional, are one of…

Superconductivity · Physics 2016-06-10 Masaaki Shimozawa , Swee K. Goh , Takasada Shibauchi , Yuji Matsuda

The pursuit of a lattice analogue for Landau levels has been a central theme in condensed matter physics. Although the correspondence between Chern bands and the lowest Landau level has been widely studied, a lattice realization of the…

Mesoscale and Nanoscale Physics · Physics 2025-11-21 Huan Wang , Rui Shi , Zhaochen Liu , Jing Wang

Flatbands appear in many condensed matter systems, such as in high magnetic fields, correlated materials and moire heterostructures. They are characterized by intrinsic geometric properties such as the Berry curvature and Fubini-Study…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Jie Wang , Jennifer Cano , Andrew J. Millis , Zhao Liu , Bo Yang

We describe a mechanism by which fermions in topologically trivial bands can form correlated states exhibiting a fractional quantum Hall (FQH) effect upon introduction of strong repulsive interactions. These states are solid-liquid…

Strongly Correlated Electrons · Physics 2018-02-07 Stefanos Kourtis

Two-dimensional multiferroics that host nontrivial topological bands offer a rich platform for correlated and tunable quantum phenomena, yet such materials remain rare. Here, using first-principles calculations, we reveal that monolayer…

Materials Science · Physics 2026-01-09 Brian Anchico , Jingyi Duan , Haojie Sun , Minjun Wang , Mikhail Talanov , Wei Jiang

We present two methods for constructing a flat band (FB) system having a flat energy dispersion over the entire Brillouin zone within tight-binding model, where the resulting Hamiltonian may not be easily obtained by existing methods based…

Materials Science · Physics 2021-05-19 Toshitaka Ogata , Mitsuaki Kawamura , Taisuke Ozaki

Multi-orbital electronic models hosting a non-trivial band-topology in the regime of strong electronic interactions are an ideal playground for exploring a host of complex phenomenology. We consider here a sign-problem-free and…

Strongly Correlated Electrons · Physics 2024-07-09 Xuepeng Wang , J. F. Mendez-Valderrama , Johannes S. Hofmann , Debanjan Chowdhury

Band flattening has been identified as key ingredient to correlation phenomena in Moir\'e materials and beyond. Here, we examine strongly repulsive fermions on a ladder -- a minimal platform for unconventional $d$-wave pairing -- and show…

Strongly Correlated Electrons · Physics 2025-12-25 J. P. Mendonça , S. Biswas , M. Dziurawiec , U. Bhattacharya , K. Jachymski , M. Aidelsburger , M. Lewenstein , M. M. Maśka , T. Grass

We investigate topological band structures of a kagome system coupled to a circularly polarized cavity mode, using a model based on a muffin-tin potential and quantum light-matter interaction. We show that Chern insulating phases emerge in…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Hikaru Goto , Ryo Okugawa , Takami Tohyama

We propose two novel two-dimensional (2D) topological materials, (PtN$_4$)$_3$C$_{32}$ and (MnN$_4$)$_3$C$_{32}$, with a special geometry that we named as kagome-in-honeycomb (KIH) lattice structure, to illustrate the coexistence of the…

Materials Science · Physics 2024-03-07 Jingping Dong , Miao Gao , Xun-Wang Yan , Fengjie Ma , Zhong-Yi Lu

The cooperation of electronic correlation and spin-orbit coupling can stabilize magnetic topological insulators which host novel quantum phenomena such as the quantum anomalous Hall state also known as Chern insulator (CI). Here, we…

Strongly Correlated Electrons · Physics 2024-10-01 Mohsen Hafez-Torbati
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