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In the absence of time reversal symmetry, orbital magnetization provides a sensitive probe of topology and interactions, with particularly rich phenomenology in Chern insulators where topological edge states carry large equilibrium…

Breakthrough experiments have recently realized fractional Chern insulators (FCIs) in moir\'e materials. However, all states observed are Abelian, the possible existence of more exotic non-Abelian FCIs remains controversial both…

Strongly Correlated Electrons · Physics 2025-09-25 Hui Liu , Zhao Liu , Emil J. Bergholtz

The ground state of the Hubbard model with nearest-neighbor hopping on the square lattice at half filling is known to be that of an antiferromagnetic (AFM) band insulator for any on-site repulsion. At finite temperature, the absence of…

Strongly Correlated Electrons · Physics 2020-02-04 Fedor Šimkovic , J. P. F. LeBlanc , Aaram J. Kim , Youjin Deng , N. V. Prokof'ev , B. V. Svistunov , Evgeny Kozik

Recently, antiferromagnetic (AF) materials have attracted rapid attention, because they are considered as outstanding candidates to replace the widely used ferromagnets in the next generation of spintronics. We propose a magnetoresistance…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Wei-Tao Lu , Qing-Feng Sun

The properties of fractional Chern insulator (FCI) phases and the phase transitions between FCI and Mott insulators (MI) in bosonic systems are well studied. The continuous transitions between FCI and superfluid (SF), however, despite the…

Strongly Correlated Electrons · Physics 2025-05-07 Hongyu Lu , Han-Qing Wu , Bin-Bin Chen , Zi Yang Meng

The engineering of topological non-trivial states of matter, using cold atoms, has made great progress in the last decade. Driven by experimental successes, it has become of major interest in the cold atom community. In this work we…

Quantum Gases · Physics 2020-06-16 Urs Gebert , Bernhard Irsigler , Walter Hofstetter

Fractional quantum Hall effect (FQHE) is a prime example of topological quantum many-body phenomena, arising from the interplay between strong electron correlation, topological order, and time reversal symmetry breaking. Recently, a lattice…

Strongly Correlated Electrons · Physics 2024-11-22 Zhurun Ji , Heonjoon Park , Mark E. Barber , Chaowei Hu , Kenji Watanabe , Takashi Taniguchi , Jiun-Haw Chu , Xiaodong Xu , Zhi-xun Shen

The fractional Chern insulators (FCIs) observed in pentalayer rhombohedral graphene/hexagonal boron nitride superlattices have a unique origin contrary to theoretical expectations: their non-interacting band structure is gapless, unlike…

Strongly Correlated Electrons · Physics 2025-09-26 Jiabin Yu , Jonah Herzog-Arbeitman , Yves H. Kwan , Nicolas Regnault , B. Andrei Bernevig

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe

The breaking of time-reversal symmetry is a crucial ingredient to topological bands. It can occur intrisically in materials with magnetic order, or be induced by external fields, such as magnetic fields in quantum Hall systems, or…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Utso Bhattacharya , Swati Chaudhary , Tobias Grass , Allan S. Johnson , Simon Wall , Maciej Lewenstein

A recent experiment observes a series of quantum spin Hall effects in transition metal dichalcogenide moir\'e MoTe$_2$ [K. Kang, et. al, Nature 628, 522-526 (2024)]. Among them, the vanishing Hall signal at the filling factor $\nu=3$…

Strongly Correlated Electrons · Physics 2025-02-20 Feng Chen , Wei-Wei Luo , Wei Zhu , D. N. Sheng

We investigate the emergence of anti-ferromagnetic ordering and its effect on the helical edge states in a quantum spin Hall insulator, in the presence of strong Coulomb interaction. Using dynamical mean-field theory, we show that the…

Strongly Correlated Electrons · Physics 2018-08-01 A. Amaricci , A. Valli , G. Sangiovanni , B. Trauzettel , M. Capone

Altermagnets (A$\ell$Ms) constitute a novel family of magnetic materials characterized by the absence of net magnetization and the presence of spin-polarized band structures. Whereas A$\ell$M phases were initially proposed in collinear…

Materials Science · Physics 2026-03-03 Mengli Hu , Mikel I. Iraola , Paul McClarty , Jeroen van den Brink , Maia G. Vergniory

We investigate the fate of hardcore bosons in a Harper-Hofstadter model which was experimentally realized by Aidelsburger et al. [Nature Physics 11 , 162 (2015)] at half filling of the lowest band. We discuss the stability of an emergent…

Strongly Correlated Electrons · Physics 2017-10-20 Johannes Motruk , Frank Pollmann

We study the half-filled Hubbard model on the geometrically frustrated face centered cubic (FCC) lattice, using an auxiliary field based real space technique. The low temperature state is a paramagnetic metal at weak interaction, an…

Strongly Correlated Electrons · Physics 2013-02-14 Rajarshi Tiwari , Pinaki Majumdar

Chiral edge states are the fingerprint of the bulk-edge correspondence in a Chern insulator. Co-propagating edge modes, known as antichiral edge states, have been predicted to occur in the so-called modified Haldane model describing a…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 Marwa Mannaï , Eduardo V. Castro , Sonia Haddad

$\mathrm{MnBi_2Te_4}$ has recently been established as an intrinsic antiferromagnetic (AFM) topological insulator and predicted to be an ideal platform to realize quantum anomalous Hall (QAH) insulator and axion insulator states. We…

Antiferromagnetism, characterized by magnetic moments aligned in alternating directions with a vanished ensemble average, has garnered renewed interest for its potential applications in spintronics and axion dynamics. The synergy between…

We consider antiferromagnets breaking both time-reversal (Theta) and a primitive lattice translational symmetry (T) of a crystal but preserving the combination S = Theta T. The S symmetry leads to a Z_2 topological classification of…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Roger S. K. Mong , Andrew M. Essin , Joel E. Moore

We study the emergence of altermagnetism from repulsive interactions for electrons on the Lieb lattice as a model of quasi-2D oxychalcogenides with the so-called "anti-CuO$_{2}$" lattice structure. A comprehensive study of the Lieb lattice…

Strongly Correlated Electrons · Physics 2024-12-25 Nitin Kaushal , Marcel Franz