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We present a theory of phase transition in quantum critical paraelectrics in presence of quenched random-Tc disorder using replica trick. The effects of disorder induced locally ordered regions and their slow dynamics are included by…

Disordered Systems and Neural Networks · Physics 2014-09-02 Nabyendu Das

The quest for the topological phases of matter in an aperiodic system has been greatly developed recently. Here we investigate the effects of disorder on topological phases of a two-dimensional Ammann-Beenker tiling quasicrystalline…

Mesoscale and Nanoscale Physics · Physics 2021-02-19 Tan Peng , Chun-Bo Hua , Rui Chen , Dong-Hui Xu , Bin Zhou

We clarify novel forms of scaling functions of conductance, critical conductance distribution and localization length in a disorder-driven quantum phase transition between band insulator and Weyl semimetal phases. Quantum criticality of the…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Xunlong Luo , Tomi Ohtsuki , Ryuichi Shindou

A Weyl semimetal denotes an electronic phase of solids in which two bands cross linearly. In this paper we study the effect of a spatially correlated disorder on such a phase. Using a renormalization group analysis, we show that in three…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko

Disorder plays an important role in two dimensions, and is responsible for striking phenomena such as metal insulator transition and the integral and fractional quantum Hall effects. In this paper, we investigate the role of disorder in the…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Jian Li , Rui-Lin Chu , J. K. Jain , Shun-Qing Shen

We study the effect of disorder on the spacetime supersymmetry that is proposed to emerge at the quantum critical point of pair density wave transition in (2+1)D Dirac semimetals and (3+1)D Weyl semimetals. In the (2+1)D Dirac semimetal, we…

Strongly Correlated Electrons · Physics 2022-06-02 Xue-Jia Yu , Peng-Lu Zhao , Shao-Kai Jian , Zhiming Pan

One of the most fascinating properties of topological phases of matter is their robustness to disorder and imperfections. Although several experimental techniques have been developed to probe the geometric properties of engineered…

The interplay of topology and disorder in non-equilibrium quantum systems is an intriguing subject. Here, we look for a suitable platform that enables an in-depth exploration of the topic. To this end, We analyze the topological and…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Koustav Roy , Shilpi Roy , Saurabh Basu

The superconductor-insulator transition as a paradigm of quantum phase transitions has attracted tremendous interest over the past three decades. While the magnetic field and carrier density can be tuned to drive the transition, the role of…

Superconductivity · Physics 2026-05-04 Guanyang He , Ziqiao Wang , Longxin Pan , Yuxuan Lei , Fa Wang , Yi Liu , Nandini Trivedi , Jian Wang

The application of topology, a branch of mathematics, to the study of electronic states in crystalline materials has had a revolutionary impact on the field of condensed matter physics. For example, the development of topological band…

Materials Science · Physics 2023-10-19 Christopher Daggett , Kaijie Yang , Chaoxing Liu , Lukas Muechler

Metal-insulator transitions driven by disorder (Delta) and/or by electron correlations (U) are investigated within the Anderson-Hubbard model with local binary-alloy disorder using a simple but consistent mean-field approach. The Delta-U…

Strongly Correlated Electrons · Physics 2009-11-10 Matthias Balzer , Michael Potthoff

The bilayer quantum Hall system at a total filling of $\nu_T=1$ has long resisted explanation in terms of a true counterflow superfluid, though many experimental features can be seen to be "almost" that of a superfluid. It is widely…

Strongly Correlated Electrons · Physics 2015-05-18 Jianmin Sun , Ganpathy Murthy , H. A. Fertig , Noah Bray-Ali

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

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

Disordered Systems and Neural Networks · Physics 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

We study the effect of strong disorder on topology and entanglement in quench dynamics. Although disorder-induced topological phases have been well studied in equilibrium, the disorder-induced topology in quench dynamics has not been…

Disordered Systems and Neural Networks · Physics 2021-09-14 Hsiu-Chuan Hsu , Pok-Man Chiu , Po-Yao Chang

Motivated by the wealth of proposals and realizations of nontrivial topological phases in EuCd$_2$As$_2$, such as a Weyl semimetallic state and the recently discussed semimetallic versus semiconductor behavior in this system, we analyze in…

Strongly Correlated Electrons · Physics 2023-12-07 Adrian Valadkhani , Mikel Iraola , Axel Fünfhaus , Young-Joon Song , Libor Smejkal , Jairo Sinova , Roser Valenti

We unveil that non-Abelian multigap band topology characterized by nontrivial Euler class invariants induces observable magnetononlinear Hall transport phenomena. We demonstrate these effects in a highly-tunable class of recently…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Chun Wang Chau , Wojciech J. Jankowski , Bo Peng , Robert-Jan Slager

Non-Abelian states of matter, in which the final state depends on the order of the interchanges of two quasiparticles, can encode information immune from environmental noise with the potential to provide a robust platform for topological…

Mesoscale and Nanoscale Physics · Physics 2022-02-14 Bo Peng , Adrien Bouhon , Robert-Jan Slager , Bartomeu Monserrat

In this communication, we numerically studied disordered quantum transport in a quantum anomalous Hall insulator-superconductor junction based on the effective edge model approach. In particular, we focus on the parameter regime with the…

Superconductivity · Physics 2020-10-21 Jian-Xiao Zhang , Chao-Xing Liu

Electrons that are confined to a single Landau level in a two dimensional electron gas realize the effects of strong electron-electron repulsion in its purest form. The kinetic energy of individual electrons is completely quenched and all…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 David F. Mross , Yuval Oreg , Ady Stern , Gilad Margalit , Moty Heiblum
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