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We propose a mechanism for insulating ferromagnetism in the honeycomb Hubbard model of semiconductor moir\'e superlattices. The ferromagnetism emerges at critical charge transfer regime, stabilizing the quantum anomalous Hall state without…

Strongly Correlated Electrons · Physics 2025-12-16 Yixin Zhang , Yang Zhang

Recently several moir\'e super-lattice systems are proposed to host nearly flat $\pm$ Chern bands: the bands of the two valleys have opposite Chern numbers. In these systems the charge of each valley is separately conserved. For the $C=\pm…

Strongly Correlated Electrons · Physics 2018-10-19 Ya-Hui Zhang

Fractional Chern insulators (FCI) with crystalline symmetry possess topological invariants that fundamentally have no analog in continuum fractional quantum Hall (FQH) states. Here we demonstrate through numerical calculations on model wave…

Strongly Correlated Electrons · Physics 2025-07-23 Yuxuan Zhang , Maissam Barkeshli

Using the infinite density matrix renormalization group method on an infinite cylinder geometry, we characterize the $1/3$ fractional Chern insulator state in the Haldane honeycomb lattice model at $\nu=1/3$ filling of the lowest band and…

Strongly Correlated Electrons · Physics 2017-01-06 Adolfo G. Grushin , Johannes Motruk , Michael P. Zaletel , Frank Pollmann

One of the signatures of the face-centered cubic (fcc) antiferromagnet as a typical example of a geometrically frustrated system is the large ground state degeneracy of the classical nearest neighbor and next-nearest neighbor Heisenberg…

Strongly Correlated Electrons · Physics 2022-05-04 Seydou-Samba Diop , George Jackeli , Lucile Savary

We use ultracold spin--1/2 atomic fermions ($^6$Li) to realize the Hubbard model on a three-dimensional (3D) optical lattice. At relatively high temperatures and at densities near half-filling, we show that the gas forms a Mott insulator…

Quantum Gases · Physics 2015-12-17 Randall G. Hulet , Pedro M. Duarte , Russell A. Hart , Tsung-Lin Yang

Here we propose another type of ferromagnetic semiconductors: ferromagnetic negative charge-transfer insulator (FNCTI). In FNCTI, the negative charge-transfer states strongly enhance the ferromagnetic (FM) exchange interactions and the…

Strongly Correlated Electrons · Physics 2023-01-20 Zhao Liu , Xingxing Li , W. Zhu , Z. F. Wang , Jinlong Yang

Fractional Chern insulators (FCIs) are lattice generalizations of the conventional fractional quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a 2D lattice without time-reversal symmetry when a…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Zhao Liu , Emil J. Bergholtz

In condensed matter physics, symmetry profoundly governs the fundamentals of topological matter. The emergence of new topological phase is typically linked to the enrichment of symmetries. Different parity-time symmetry relations…

Mesoscale and Nanoscale Physics · Physics 2022-09-15 Xiao Xiang , Feng Gao , Yugui Peng , Qili Sun , Jie Zhu , Xuefeng Zhu

An argument is made on the existence of a low-temperature itinerant antiferromagnetic (AF) spin alignment, rather than persistent helical (PH), in the ground state of a two dimensional electron gas in a semiconductor quantum well with…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 D. C. Marinescu

We devise local lattice models whose ground states are model fractional Chern insulators---Abelian and non-Abelian topologically ordered states characterized by exact ground state degeneracies at any finite size and infinite entanglement…

Strongly Correlated Electrons · Physics 2016-05-31 Jörg Behrmann , Zhao Liu , Emil J. Bergholtz

An experiment in moir\'e MoTe$_2$ bilayers reported the first observation of a topologically ordered state with zero Hall conductivity and half of the edge conductance of a standard time-reversal invariant quantum spin Hall insulator. This…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Inti Sodemann Villadiego

We study irradiated two-dimensional insulating bilayer honeycomb ferromagnets and antiferromagnets coupled antiferromagnetically with a zero net magnetization. The former is realized in the recently synthesized bilayer honeycomb chromium…

Strongly Correlated Electrons · Physics 2019-05-13 S. A. Owerre

The discovery of an intrinsic antiferromagnetic topological insulator (AFM-TI) in MnBi$_2$Te$_4$ has attracted intense attention, most of which lies on its electrical properties. In this paper, we report electronic, thermal, and…

Materials Science · Physics 2022-05-25 H. Zhang , C. Q. Xu , S. H. Lee , Z. Q. Mao , X. Ke

A topological insulator is a state of matter which does not break any symmetry and is characterized by topological invariants, the integer expectation values of non-local operators. Antiferromagnetism on the other hand is a broken symmetry…

Strongly Correlated Electrons · Physics 2018-05-15 R. A. Müller , N. R. Lee-Hone , L. Lapointe , D. H. Ryan , T. Pereg-Barnea , A. D. Bianchi , Y. Mozharivskyj , R. Flacau

In the presence of strong electronic interactions, a partially filled Chern band may stabilize a fractional Chern insulator (FCI) state, the zero-field analog of the fractional quantum Hall phase. While FCIs have long been hypothesized,…

Strongly Correlated Electrons · Physics 2024-10-15 Gal Shavit , Yuval Oreg

Antiferromagnets (AFs) are prospective for next-generation high-density and high-speed spintronic applications due to their negligible stray field and ultrafast spin dynamics, notwithstanding the challenges in detecting and manipulating AF…

Materials Science · Physics 2025-08-04 Jinsong Xu , Weiwei Lin , Jiaming He , J. -S. Zhou , Danru Qu , Ssu-Yen Huang , C. L. Chien

Moir{\'e} superlattice realized in two-dimensional heterostructures offers an exciting platform to access strongly-correlated electronic states. In this work, we study transition metal dichalcogenides (TMD) Moir{\'e} superlattices with…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Heqiu Li , Umesh Kumar , Kai Sun , Shi-Zeng Lin

We prove that there exists a class of crystalline insulators, which we call "fragile Mott insulators" which are not adiabatically connected to any sort of band insulator provided time-reversal and certain point-group symmetries are…

Strongly Correlated Electrons · Physics 2015-05-19 Hong Yao , Steven A. Kivelson

Odd-parity altermagnetism(ALM) extends compensated collinear magnetism beyond the even-parity spin splitting of conventional altermagnets, but its role in correlated topological phases remains largely unexplored. Using the cluster…

Strongly Correlated Electrons · Physics 2026-05-06 Minghuan Zeng , Zheng Qin , Ling Qin , Shiping Feng , Lin Wu , Dong-Hui Xu , Rui Wang
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