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We consider a model of spinful fermions on the triangular lattice which exhibits a C=2 Chern insulator (CI) phase with a quantized anomalous Hall effect, sandwiched between two normal insulator (NI) phases. The first NI-CI quantum phase…

Strongly Correlated Electrons · Physics 2014-09-04 A. M. Cook , C. Hickey , A. Paramekanti

Interaction effects have been a subject of contemporary interest in topological phases of matter. But in the presence of interactions, the accurate determination of topological invariants in their general form is difficult due to their…

Strongly Correlated Electrons · Physics 2017-04-18 Pramod Kumar , Thomas Mertz , Walter Hofstetter

Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. In condensed matter devices, material imperfections hinder a direct…

Interaction-induced topological systems have attracted a growing interest for their exotic properties going beyond the single-particle picture of topological insulators. In particular, the interplay between strong correlations and finite…

Motivated by recently reported magnetic-field induced topological phases in ultracold atoms and correlated Moir\'e materials, we investigate topological phase transitions in a minimal model consisting of interacting spinless fermions…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Axel Fünfhaus , Marius Möller , Thilo Kopp , Roser Valentí

We analyze the effect of disorder on the weak-coupling instabilities of quadratic band crossing point (QBCP) in two-dimensional Fermi systems, which, in the clean limit, display interaction- driven topological insulating phases. In the…

Strongly Correlated Electrons · Physics 2017-11-22 Jing Wang , Carmine Ortix , Jeroen van den Brink , Dmitry V. Efremov

Haldane model is a noninteracting model for spinless fermions showing nontrivial topological properties. Effect of the electron-electron interaction on the topological phase poses an intriguing question. By means of the Hartree-Fock mean…

Strongly Correlated Electrons · Physics 2010-12-24 Lei Wang , Hao Shi , Shiwei Zhang , Xiaoqun Wang , Xi Dai , X. C. Xie

We design an interaction-driven topological insulator for fermionic cold atoms in an optical lattice, that is, we pose the question of whether we can realize in a continuous space a spontaneous symmetry breaking induced by the inter-atom…

Quantum Gases · Physics 2015-07-24 Sota Kitamura , Naoto Tsuji , Hideo Aoki

We investigate topological phases induced by a driven electric field coupled to a dimer chain (a model for poly-acetylene) at high frequency regime. It is shown how the topological invariant of the system can be controlled by the field…

Mesoscale and Nanoscale Physics · Physics 2017-09-19 Fatemeh Askari Shahid , Hosein Cheraghchi

We analyze the phase transitions of an interacting electronic system weakly coupled to free-electron leads by considering its zero-bias conductance. This is expressed in terms of two effective impurity models for the cases with and without…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Aligia , K. Hallberg , B. Normand , A. P. Kampf

Interfacing s-wave superconductors and quantum spin Hall edges produces time-reversal-invariant topological superconductivity of a type that can not arise in strictly 1D systems. With the aim of establishing sharp fingerprints of this novel…

Mesoscale and Nanoscale Physics · Physics 2016-10-13 David Aasen , Shu-Ping Lee , Torsten Karzig , Jason Alicea

We study the phase diagram of interacting spinless fermions on the honeycomb bilayer at charge neutrality using large-scale quantum Monte Carlo simulations. In the noninteracting limit, the low-energy spectrum features quadratically…

Strongly Correlated Electrons · Physics 2026-05-26 Zi Hong Liu , Lukas Janssen

While the non-perturbative interaction effects in the fractional quantum Hall regime can be readily simulated through exact diagonalization, it has been challenging to establish a suitable diagnostic that can label different phases in the…

Strongly Correlated Electrons · Physics 2019-11-06 Michael Matty , Yi Zhang , Zlatko Papic , Eun-Ah Kim

We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mott insulator phase -- an interaction-driven topological insulator -- using cold atoms in an optical Lieb lattice. To this end, we study a…

Quantum Gases · Physics 2016-04-20 A. Dauphin , M. Müller , M. A. Martin-Delgado

We construct a class of exact ground states for correlated electrons on pentagon chains in the high density region and discuss their physical properties. In this procedure the Hamiltonian is first cast in a positive semidefinite form using…

Strongly Correlated Electrons · Physics 2013-05-27 Zsolt Gulacsi

In free fermion systems with given symmetry and dimension, the possible topological phases are labeled by elements of only three types of Abelian groups, Z_1, Z_2, or Z. For example non-interacting 1D fermionic superconducting phases with…

Strongly Correlated Electrons · Physics 2012-08-28 Evelyn Tang , Xiao-Gang Wen

We study the effect of electrostatic disorder on the conductivity of a three-dimensional antiferromagnetic insulator (a stack of quantum anomalous Hall layers with staggered magnetization). The phase diagram contains regions where the…

Mesoscale and Nanoscale Physics · Physics 2014-01-13 P. Baireuther , J. M. Edge , I. C. Fulga , C. W. J. Beenakker , J. Tworzydło

We investigate the role of short-ranged electron-electron interactions in a paradigmatic model of three dimensional topological insulators, using dynamical mean-field theory and focusing on non magnetically ordered solutions. The…

Strongly Correlated Electrons · Physics 2016-06-09 A. Amaricci , J. C. Budich , M. Capone , B. Trauzettel , G. Sangiovanni

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

A one-dimensional model of interacting electrons with on-site $U$, nearest-neighbor $V$, and correlated-hopping interaction $T^{\ast}$ is studied at half-filling using the continuum-limit field theory approach. The ground state phase…

Strongly Correlated Electrons · Physics 2009-10-31 G. I. Japaridze , A. P. Kampf
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