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We propose a Real-Space Gutzwiller variational approach and apply it to a system of repulsively interacting ultracold fermions with spin 1/2 trapped in an optical lattice with a harmonic confinement. Using the Real-Space Gutzwiller…

Strongly Correlated Electrons · Physics 2010-10-26 Jianqing Qi , Lei Wang , Xi Dai

We analyze two different fermionic systems that defy Mott localization showing a metallic ground state at integer filling and very large Coulomb repulsion. The first is a multiorbital Hubbard model with a Hund's coupling, where this physics…

Strongly Correlated Electrons · Physics 2021-06-02 Andrea Richaud , Matteo Ferraretto , Massimo Capone

We propose a $\mathbb{Z}_{2}$ classification of Abelian time-reversal fractional topological insulators in terms of the composite fermions picture. We consider the standard toy model where spin up and down electrons are subjected to…

Strongly Correlated Electrons · Physics 2012-02-24 Dario Ferraro , Giovanni Viola

We theoretically investigated the topological-protected edge states (TESs) in an anisotropic honeycomb lattice with mirror and chiral symmetries, characterized by an alternative topological invariant - fractional polarization (FP), rather…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Wei Jie Chan , Peihao Fu , L. K. Ang , Yee Sin Ang

Predictions of the anisotropic magnetic susceptibility chi below the antiferromagnetic (AFM) ordering temperatures TN of local moment Heisenberg AFMs have been made previously using molecular field theory (MFT) but are very limited in their…

Strongly Correlated Electrons · Physics 2013-08-20 D. C. Johnston

The possibility of realizing lattice analogs of fractional quantum Hall (FQH) states, so-called fractional Chern insulators (FCIs), in nearly flat topological (Chern) bands has attracted a lot of recent interest. Here, we make the…

Strongly Correlated Electrons · Physics 2013-01-16 Zhao Liu , Emil J. Bergholtz

Chern insulator ferromagnets are characterized by a quantized anomalous Hall effect, and have so far been identified experimentally in magnetically-doped topological insulator (MTI) thin films and in bilayer graphene moir{\'e}…

Strongly Correlated Electrons · Physics 2020-12-11 Jihang Zhu , Jung-Jung Su , Allan H. MacDonald

The realization of fractional Chern insulators opens up the possibility of exploring fractionally charged excitations and anyonic statistics in the absence of a magnetic field. One of the central questions is whether lattice-based systems…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 Zexu Li , Wenxuan Wang , Fajie Wang , Zaizhe Zhang , Qiu Yang , Kenji Watanabe , Takashi Taniguchi , X. C. Xie , Jie Wang , Kaihui Liu , Zhida Song , Xiaobo Lu

The discovery of Fractional Chern Insulators (FCIs) in twisted bilayer MoTe$_2$ has sparked significant interest in fractional topological matter without external magnetic fields. Unlike the flat dispersion of Landau levels, moir\'e…

Strongly Correlated Electrons · Physics 2024-10-30 Tianhong Lu , Luiz H. Santos

We propose a "minimal" fractional topological insulator (mFTI), motivated by the recent experimental report on the signatures of FTI at total filling factor $\nu_{\rm tot} = 3$ in a transition metal dichalcogenide moir\'{e} system. The…

Strongly Correlated Electrons · Physics 2025-06-17 Chao-Ming Jian , Meng Cheng , Cenke Xu

The realization of interacting topological states of matter such as fractional Chern insulators (FCIs) in cold atom systems has recently come within experimental reach due to the engineering of optical lattices with synthetic gauge fields…

Quantum Gases · Physics 2020-12-03 Johannes Motruk , Ilyoun Na

Fractional Chern insulators (FCIs) -- the lattice analog of fractional quantum Hall states -- form as fractionalized quasiparticles emerge in a partially-filled Chern band. This fractionalization is driven by the interplay of electronic…

It is shown that the semimetallic state of the two-dimensional honeycomb lattice with a point-like Fermi surface is unstable towards a canted antiferromagnetic insulator upon application of an in-plane magnetic field. This instability is…

Strongly Correlated Electrons · Physics 2009-07-16 M. Bercx , T. C. Lang , F. F. Assaad

We compute the temperature dependence of the antiferromagnetic order parameter and the gap in the two dimensional Hubbard model at and close to half filling. Our approach is based on truncations of an exact functional renormalization group…

Strongly Correlated Electrons · Physics 2009-11-10 T. Baier , E. Bick , C. Wetterich

We investigate the evolution of Anomalous Hall Conductivity (AHC) in a coplanar and collinear antiferromagnetic system with varying spin canting angles. A tight-binding model based on three t2g-orbitals in a body-centered tetragonal lattice…

Materials Science · Physics 2026-03-24 Yuansheng Bu , Ziyin Song , Zhong Fang , Quansheng Wu , Hongming Weng

We construct a class of lattice Hamiltonians whose single-particle spectrum consists of an arbitrary number of exactly degenerate flat bands that reproduce the analytic structure of the first $p$ Landau levels restricted to the lattice.…

Strongly Correlated Electrons · Physics 2026-03-17 Joseph R. Cruise , Alexander Seidel

Using the determinant quantum Monte Carlo method, we investigate the metal-insulator transition in the interacting disordered Hubbard model of a Lieb lattice, in which the system characterizes the flat band centered at the Fermi level. By…

Strongly Correlated Electrons · Physics 2022-12-06 Yueqi Li , Lingyu Tian , Tianxing Ma , Hai-Qing Lin

We investigate the electronic phases of an effective Hubbard model on the body-centered-cubic lattice, motivated by alkali-doped fulleride molecular solids. The model incorporates renormalized on-site interactions and an effective inverted…

Strongly Correlated Electrons · Physics 2026-05-08 Theja N. De Silva

Even if a noninteracting system has zero Berry curvature everywhere in the Brillouin zone, it is possible to introduce interactions that stabilise a fractional Chern insulator. These interactions necessarily break time-reversal symmetry…

Strongly Correlated Electrons · Physics 2015-11-10 Steven H. Simon , Fenner Harper , N. Read

We propose a spin-dependent optical lattice potential that realizes a three-dimensional antiferromagnetic topological insulator in a gas of cold, two-state fermions such as alkaline earths, as well as a model that describes the…

Quantum Gases · Physics 2012-05-11 Andrew M. Essin , Victor Gurarie
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