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The fractional quantum Hall (FQH) effect at the filling number $\nu=5/2$ is a primary candidate for non-Abelian topological order, while the fate of such a state in the presence of random disorder has not been resolved. Here, we address…

Strongly Correlated Electrons · Physics 2019-08-07 W. Zhu , D. N. Sheng

Topological insulators (TI) are a phase of matter that host unusual metallic states on their surfaces. Unlike the states that exist on the surface of conventional materials, these so-called topological surfaces states (TSS) are protected…

For topological insulators and topological crystalline insulators (TCIs), their exotic surface states are promising for fundamental condensed matter physics research as well as future electronics such as low-dissipation electronics and…

Materials Science · Physics 2016-08-16 Jie Shen , John M. Woods , Y. Xie , M. D. Morales-Acosta , Judy J. Cha

Topological properties of antiferromagnetic phases are studied for a correlated topological band insulator by applying the dynamical mean field theory to an extended Bernevig-Hughes-Zhang model including the Hubbard interaction. The…

Strongly Correlated Electrons · Physics 2013-03-07 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

We study the two-dimensional disordered topological superconductor with Hubbard interactions. When the magnitude of the pairing potential is tuned to special values, this interacting model is exactly solvable even when disorders are imposed…

Disordered Systems and Neural Networks · Physics 2024-11-22 Yiting Deng , Yan He

Several elements in the periodic table exhibit an interesting and often overlooked feature: They skip certain valence states which is discussed in the field of superconductivity to be in favor of fostering higher transition temperatures…

Superconductivity · Physics 2025-03-27 Yoshihiko Ihara , Masakazu Shimohashi , Markus Kriener

We demonstrate that random flux is able to drive nontrivial topological phase transitions, in particular between weak topological insulators (WTIs) and Chern insulators (CIs), illustrated on an anisotropic Wilson-Dirac model in two…

Mesoscale and Nanoscale Physics · Physics 2025-06-19 Chang-An Li , Bo Fu , Jian Li , Björn Trauzettel

A phase transition between topologically distinct insulating phases involves closing and reopening of the bandgap. Close to this topological phase transition, the bulk energy spectrum is characterized by a massive Dirac dispersion, where…

Strongly Correlated Electrons · Physics 2019-08-13 Joshua Mutch , Wei-Chih Chen , Preston Went , Tiema Qian , Ilham Zaky Wilson , Anton Andreev , Cheng-Chien Chen , Jiun-Haw Chu

Topology and interactions are foundational concepts in the modern understanding of quantum matter. Their nexus yields three significant research directions: competition between distinct interactions, as in the multiple intertwined phases,…

The question of whether the topological insulators can host a stable nontrivial phase in the presence of spatially correlated disorder is a fundamental question of interest. Based on theoretical investigations, we analyze the effect of…

Disordered Systems and Neural Networks · Physics 2022-07-11 Zheng-Wei Zuo , Dawei Kang

Electronic structures of Ge$_{1-x}$Sn$_{x}$ alloys (0 $\leq$ $x$ $\leq$ 1) are theoretically studied by nonlocal empirical pseudopotential method. For relaxed Ge$_{1-x}$Sn$_{x}$, a topological semimetal is found for $\textit x$ $>$ 41$\%$…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 H. -S. Lan , S. T. Chang , C. W. Liu

Topological phenomena are commonly studied in phases of matter which are separated from a trivial phase by an unavoidable quantum phase transition. This can be overly restrictive, leaving out scenarios of practical relevance -- similar to…

Strongly Correlated Electrons · Physics 2021-02-19 Ruben Verresen , Julian Bibo , Frank Pollmann

In investigating the topological electronic structures of monolayer $\alpha$-phase group V elements, we uncover a new topological phase, which is invisible in the symmetry-based topological quantum chemistry (TQC) as well as symmetry…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Baokai Wang , Xiaoting Zhou , Yen-Chuan Lin , Hsin Lin , Arun Bansil

We report the discovery of superconductivity in binary alloy Sn$_{1-x}$Sb$_{x}$ with $x$ in the range of 0.43 to 0.6, which possesses a modulated rhombohedral structure due to the incommensurate ordering of Sn and Sb layers along the…

Non-trivial geometry of electronic Bloch states gives rise to topological insulators which are robust against sufficiently weak randomness inevitably present in any quantum material. However, increasing disorder triggers a quantum phase…

Disordered Systems and Neural Networks · Physics 2025-11-14 Daniel J. Salib , Bitan Roy

Tunable symmetry breaking plays a crucial role for the manipulation of topological phases of quantum matter. Here, through combined high-pressure magneto-transport measurements, Raman spectroscopy, and X-ray diffraction, we demonstrate a…

A system of hard rigid rods of length $k$ on hypercubic lattices is known to undergo two phases transitions when chemical potential is increased: from a low density isotropic phase to an intermediate density nematic phase, and on further…

Statistical Mechanics · Physics 2022-03-14 Aagam Shah , Deepak Dhar , R. Rajesh

The equilibrium properties of a minimal tiling model are investigated. The model has extensive ground state entropy, with each ground state having a quasiperiodic sequence of rows. It is found that the transition from the quasiperiodic…

Statistical Mechanics · Physics 2013-03-27 Nikolai Nikola , Daniel Hexner , Dov Levine

The topological transition in the strongly correlated half-metallic ferromagnetic compound Co$_3$Sn$_2$S$_2$ from Weyl semimetal (including chiral massless fermions) to a non-magnetic state is treated. This transition goes with a change in…

Strongly Correlated Electrons · Physics 2021-11-29 V. Yu. Irkhin , Yu. N. Skryabin

We study the phase behavior of random heteropolymers (RHPs) with quenched cross-links, a novel polymer class of technological and biological relevance, and show the possible occurrence of freezing with few chain conformations sampled. The…

Statistical Mechanics · Physics 2009-10-31 L. Gutman , E. I. Shakhnovich