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Self-consistent theory of electron localization in disordered systems is generalized for the case of interacting electrons. We propose and critically compare a number of possible self-consistency schemes which take into account the lowest…

Condensed Matter · Physics 2008-02-03 E. Z. Kuchinskii , M. V. Sadovskii , V. G. Suvorov

We perform an extensive exact diagonalization study of interaction driven insulators in spin- and valley-polarized moir\'{e} flat bands of twisted bilayer graphene aligned with its hexagonal boron nitride substrate. In addition to…

Strongly Correlated Electrons · Physics 2021-03-05 Patrick Wilhelm , Thomas C. Lang , Andreas M. Läuchli

Consecutive topological phase transitions (TPTs) between strongly correlated electronic phases that differ simultaneously in symmetry breaking and topological order are of fundamental interest in condensed matter physics, yet are rarely…

As first demonstrated by the characterization of the quantum Hall effect by the Chern number, topology provides a guiding principle to realize robust properties of condensed matter systems immune to the existence of disorder. The…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Kazuki Sone , Motohiko Ezawa , Yuto Ashida , Nobuyuki Yoshioka , Takahiro Sagawa

A monolayer of transition metal trichalcogenides has received a lot of attention as potential two dimensional magnetic materials. The system has a honeycomb structure of transition metal ions, where both spin-orbit coupling and electron…

Strongly Correlated Electrons · Physics 2017-08-09 Archana Mishra , SungBin Lee

We present a complete topological characterization of a bilayer composite of two Chern insulators (specifically, Haldane models) and explicitly establish the bulk-boundary correspondences. We show that an appropriately defined Chern number…

Statistical Mechanics · Physics 2021-06-15 Sourav Bhattacharjee , Souvik Bandyopadhyay , Diptiman Sen , Amit Dutta

We develop a mean-field theory of the stability of fractional Chern insulators based on the dipole picture of composite fermions (CFs). We construct CFs by binding vortices to Bloch electrons and derive a CF single-particle Hamiltonian that…

Strongly Correlated Electrons · Physics 2026-01-13 Xiaodong Hu , Ying Ran , Di Xiao

The observed robustly quantized Hall conductance in quantum Hall systems and Chern insulators (CI) have so far been understood in terms of the topology of isolated systems, which are not coupled to leads. It is assumed that the leads act as…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Satyam Sinha , Rekha Kumari , Junaid Majeed Bhat , Abhishek Dhar , R. Shankar

We identify a new class of topologically driven phase transitions when calculating the Hall conductance of two-band Chern insulators in the long-time limit after a global quench of the Hamiltonian. The Hall conductance is expressed as the…

Quantum Gases · Physics 2016-07-19 Pei Wang , Stefan Kehrein

We investigate the phases and phase transitions of the disordered Haldane model in the presence of on-site disorder. We use the real-space Chern marker and transfer matrices to extract critical exponents over a broad range of parameters.…

Strongly Correlated Electrons · Physics 2023-12-29 J. Mildner , M. D. Caio , G. Möller , N. R. Cooper , M. J. Bhaseen

Condensed matter systems admit topological collective excitations above a trivial ground state, an example being Chern insulators formed by Dirac bosons with a gap at finite energies. However, in contrast to electrons, there is no…

Strongly Correlated Electrons · Physics 2021-06-30 Alexander Mook , Kirill Plekhanov , Jelena Klinovaja , Daniel Loss

Considering coupling to a micro-structured bath as a relaxation mechanism in a periodically driven dissipative Haldane model, we establish that the system may be tuned to a stroboscopic topological steady state at all finite temperatures.…

Statistical Mechanics · Physics 2020-11-11 Souvik Bandyopadhyay , Amit Dutta

Realizing topological insulators is of great current interest because of their remarkable properties and possible future applications. There are recent proposals, based on Floquet analyses, that one can generate topologically nontrivial…

Quantum Gases · Physics 2016-08-02 Luca D'Alessio , Marcos Rigol

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 explore the non-equilibrium response of Chern insulators. Focusing on the Haldane model, we study the dynamics induced by quantum quenches between topological and non-topological phases. A notable feature is that the Chern number,…

Strongly Correlated Electrons · Physics 2015-12-09 M. D. Caio , N. R. Cooper , M. J. Bhaseen

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are…

Strongly Correlated Electrons · Physics 2021-05-12 Andreas Sinner , Klaus Ziegler

We study the nonequilibrium switching phenomenon associated with the metal-insulator transition under electric field E in correlated insulator by a gauge-covariant Keldysh formalism. Due to the feedback effect of the resistive current I,…

Other Condensed Matter · Physics 2009-11-13 Naoyuki Sugimoto , Shigeki Onoda , Naoto Nagaosa

The Haldane model is the simplest yet most powerful topological lattice model exhibiting various phases, including the Dirac semimetal phase and the anomalous quantum Hall phase (also known as the Chern insulator). Although considered…

Optics · Physics 2025-04-28 Rujiang Li , Wencai Wang , Xiangyu Kong , Bo Lv , Yongtao Jia , Huibin Tao , Pengfei Li , Ying Liu

Two-dimensional non-interacting fermions without any anti-unitary symmetries generically get Anderson localized in the presence of disorder. In contrast, topological superconductors with their inherent particle-hole symmetry can host a…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Subrata Pachhal , Naba P. Nayak , Soumya Bera , Adhip Agarwala

Interactions generically have important effects on the topological quantum phases. For a quantum anomalous Hall (QAH) insulator, the presence of interactions can qualitatively change the topological phase diagram which, however, is…

Strongly Correlated Electrons · Physics 2023-08-24 Wei Jia , Long Zhang , Lin Zhang , Xiong-Jun Liu