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Interaction driven topological phases can significantly enrich the class of topological materials and thus are of great importance. Here, we study the phase diagram of interacting spinless fermions filling the two-dimensional checkerboard…

Strongly Correlated Electrons · Physics 2018-11-27 Tian-sheng Zeng , W. Zhu , D. N. Sheng

Multicomponent quantum Hall systems with internal degrees of freedom provide a fertile ground for the emergence of exotic quantum liquids. Here we investigate the possibility of non-Abelian topological order in the half-filled fractional…

Strongly Correlated Electrons · Physics 2017-01-04 W. Zhu , Zhao Liu , F. D. M. Haldane , D. N. Sheng

From a leading-order unbiased renormalization group analysis we here showcase the emergence of superconductivity (including the topological ones) from purely repulsive electron-electron interactions in two-dimensional doped Dirac…

Superconductivity · Physics 2025-06-26 Sk Asrap Murshed , Sanjib Kumar Das , Bitan Roy

We study an unconventional quantum Hall effect for the surface states of ultrathin Floquet topological insulators in a perpendicular magnetic field. The resulting band structure is modified by photon dressing and the topological property is…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 M. Tahir , P. Vasilopoulos , U. Schwingenschlog

Using first principles calculations, we have demonstrated the creation of multiple quantum states, in the experimentally accessible metal organic framework BHT-Ni. Specifically, quantum spin Hall and quantum anomalous Hall states are…

Materials Science · Physics 2025-01-17 Nafiseh Falsafi , Saeed H. Abedinpour , Fariba Nazari , Francesc Illas

Great efforts are currently devoted to the engineering of topological Bloch bands in ultracold atomic gases. Recent achievements in this direction, together with the possibility of tuning inter-particle interactions, suggest that…

Quantum Gases · Physics 2019-05-01 Cécile Repellin , Nathan Goldman

The quantum anomalous Hall effect (QAHE) that emerges under broken time-reversal symmetry in topological insulators (TI) exhibits many fascinating physical properties for potential applications in nano-electronics and spintronics. However,…

Collective excitations play a vital role in understanding the exotic phases of matter and phase transitions in quantum many-body systems. For the first time, we numerically (via exact diagonalization and density matrix renormalization…

Strongly Correlated Electrons · Physics 2025-11-17 Hongyu Lu , Han-Qing Wu , Bin-Bin Chen , Zi Yang Meng

The phenomenon of Mott insulation involves the localization of itinerant electrons due to strong local repulsion. Upon doping, a pseudogap (PG) phase emerges - marked by selective gapping of the Fermi surface without conventional symmetry…

Strongly Correlated Electrons · Physics 2026-02-25 Abhirup Mukherjee , S. R. Hassan , Anamitra Mukherjee , N. S. Vidhyadhiraja , A. Taraphder , Siddhartha Lal

The interplay between the fractional quantum Hall effect and nematicity is intriguing as it links emerging topological order and spontaneous symmetry breaking. Anisotropic fractional quantum Hall states (FQHSs) have indeed been reported in…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Chengyu Wang , A. Gupta , S. K. Singh , C. T. Tai , L. N. Pfeiffer , K. W. Baldwin , R. Winkler , M. Shayegan

We develop a first quantization description of fractional Chern insulators that is the dual of the conventional fractional quantum Hall (FQH) problem, with the roles of position and momentum interchanged. In this picture, FQH states are…

Strongly Correlated Electrons · Physics 2015-06-15 Martin Claassen , Ching Hua Lee , Ronny Thomale , Xiao-Liang Qi , Thomas P. Devereaux

We find a series of possible continuous quantum phase transitions between fractional quantum Hall (FQH) states at the same filling fraction in two-component quantum Hall systems. These can be driven by tuning the interlayer tunneling and/or…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Maissam Barkeshli , Xiao-Gang Wen

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

Understanding topological matter in the fractional quantum Hall (FQH) effect requires identifying the nature of edge state quasiparticles. FQH edge state at the filling factor $\nu=2/3$ in the spin-polarized and non-polarized phases is…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Vadim Ponomarenko , Yuli Lyanda-Geller

Quantum information can be coded by the topologically protected edges of fractional quantum Hall (FQH) states. Investigation on FQH edges in the hope of searching and utilizing non-Abelian statistics has been a focused challenge for years.…

Mesoscale and Nanoscale Physics · Physics 2023-04-04 Jiaojie Yan , Yijia Wu , Shuai Yuan , Xiao Liu , L. N. Pfeiffer , K. W. West , Yang Liu , Hailong Fu , X. C. Xie , Xi Lin

Quantum Hall edge states in proximity to a superconductor (SC) usually acquire a non-quantized electron-to-hole conversion probability in transport, due to non-universal SC couplings and disorders. With counter-propagating modes, we show…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 Pok Man Tam , Hao Chen , Biao Lian

We study the phase transitions of bosonic $\nu=1/2$ fractional quantum Hall (FQH) effect in different topological lattice models under the interplay of onsite periodic potential and Hubbard repulsion. Through exact diagonalization and…

Strongly Correlated Electrons · Physics 2021-02-17 Tian-Sheng Zeng

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald

The anomalous Floquet Anderson insulator (AFAI) is a two dimensional periodically driven system in which static disorder stabilizes two topologically distinct phases in the thermodynamic limit. The presence of a unit-conducting chiral edge…

Mesoscale and Nanoscale Physics · Physics 2020-04-03 Kun Woo Kim , Dmitry Bagrets , Tobias Micklitz , Alexander Altland

The recent prediction, and subsequent discovery, of the quantum anomalous Hall (QAH) effect in thin films of the three-dimensional ferromagnetic topological insulator (MTI) (Cr$_y$Bi$_x$Sb$_{1-x-y}$)$_2$Te$_3$ has opened new possibilities…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 I. T. Rosen , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon
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