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We present a theory of charge density wave (CDW) states in Weyl semimetals and their interplay with the chiral anomaly. In particular, we demonstrate a special nature of the shortest-period CDW state, which is obtained when the separation…

Strongly Correlated Electrons · Physics 2020-10-01 Dan Sehayek , Manisha Thakurathi , A. A. Burkov

We propose a realization of the Weyl semimetal phase that is invariant under time reversal and occurs due to broken inversion symmetry. We consider both a simple superlattice model and a more realistic tight-binding model describing an…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 Gábor B. Halász , Leon Balents

The Weyl semimetal WTe$_{2}$ has shown several correlated electronic behaviors, such as the quantum spin Hall effect, superconductivity, ferroelectricity, and a possible exciton insulator state, all of which can be tuned by various physical…

Topological physics and strong electron-electron correlations in quantum materials are typically studied independently. However, there have been rapid recent developments in quantum materials in which topological phase transitions emerge…

We show that the electrical transport across a minimal model for a time-reversal symmetry(TRS) breaking Weyl semi-metal (WSM) involving two Weyl nodes can be interpreted as an interferometer in momentum space. The interference phase depends…

Mesoscale and Nanoscale Physics · Physics 2018-12-21 Dibya Kanti Mukherjee , Sumathi Rao , Sourin Das

Topological insulators have been extended to higher-order versions that possess topological hinge or corner states in lower dimensions. However, their robustness against disorder is still unclear. Here, we theoretically investigate the…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yedi Shen , Zeyu Li , Qian Niu , Zhenhua Qiao

Two-dimensional ferromagnetic electron gases subject to random scalar potentials and Rashba spin-orbit interactions exhibit a striking quantum criticality. As disorder strength $W$ increases, the systems undergo a transition from a normal…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 Weiwei Chen , C. Wang , Qinwei Shi , Qunxiang Li , X. R. Wang

Type II Weyl semimetal, a three dimensional gapless topological phase, has drawn enormous interest recently. These topological semimetals enjoy overtilted dispersion and Weyl nodes that separate the particle and hole pocket. Using…

Strongly Correlated Electrons · Physics 2017-08-02 Weizhu Yi , Qiu-Shi Wang , Rui Wang , Baigeng Wang

Gapless Weyl semimetals (WSMs) are a novel class of topological materials that host massless Weyl fermions as their low-energy excitations. When the Weyl cone is tilted, the Lorentz invariance is broken and the Lifshitz transition drives…

Mesoscale and Nanoscale Physics · Physics 2020-02-18 Yi-Xiang Wang , Fuxiang Li

We classify all possible gap-closing procedures which can be achieved in two-dimensional time-reversal invariant noncentrosymmetric systems. For exhaustive classification, we examine the space group symmetries of all 49 layer groups lacking…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Sungjoon Park , Bohm-Jung Yang

We study the AC electrical conductivity at zero temperature in a holographic model for a Weyl semimetal. At small frequencies we observe a linear dependence in the frequency. The model shows a quantum phase transition between a topological…

Strongly Correlated Electrons · Physics 2017-04-26 Gianluca Grignani , Andrea Marini , Francisco Pena-Benitez , Stefano Speziali

We develop a topological theory for disordered Weyl semimetals in the framework of gauge invariance of replica formalism and boundary-bulk correspondence of Chern insulators. An anisotropic topological $\theta$-term is analytically derived…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Y. X. Zhao , Z. D. Wang

Weyl semimetals are three-dimensional, topologically protected, gapless phases which show exotic phenomena such as Fermi arc surface states or negative magnetoresistance. It is an open question whether interparticle interactions can turn…

Strongly Correlated Electrons · Physics 2021-03-24 Bernhard Irsigler , Tobias Grass , Jun-Hui Zheng , Mathieu Barbier , Walter Hofstetter

The recent discoveries of ferroelectric metal and Weyl semimetal (WSM) have stimulated a natural question: whether these two exotic states of matter can coexist in a single material or not. These two discoveries ensure us that physically it…

Three dimensional Dirac semimetals are stable against weak potential disorder, but not against strong disorder. In the language of renormalization group, such stability stems from the irrelevance of weak disorder in the vicinity of the…

Disordered Systems and Neural Networks · Physics 2015-01-08 Bitan Roy , S. Das Sarma

The material ZrTe$_5$ exhibits distinct topological phases, including a Weyl semimetal phase, characterized by a chiral anomaly and in-plane Hall effect, and a three-dimensional quantum Hall phase. The relationship between these phases…

Other Condensed Matter · Physics 2025-10-15 Jiahao Chen , Yu Cao , Hong Du , Yuanze Li , Ruidan Zhong , Tian Liang

When a metal undergoes continuous quantum phase transition, the correlation length diverges at the critical point and the quantum fluctuation of order parameter behaves as a gapless bosonic mode. Generically, the coupling of this boson to…

Superconductivity · Physics 2018-05-22 Xin Li , Jing-Rong Wang , Guo-Zhu Liu

We investigate the nature of the magnetic phase transition induced by the short-ranged electron-electron interactions in a Weyl semimetal by using the perturbative renormalization-group method. We find that the critical point associated…

Strongly Correlated Electrons · Physics 2017-07-19 Yu-Li Lee , Yu-Wen Lee

Four-dimensional quantum Hall (QH) models usually rely on synthetic dimensions for their simulation in experiment. Here, we study a QH system which features a nontrivial configuration of three-dimensional Weyl cones on its boundaries. We…

Mesoscale and Nanoscale Physics · Physics 2020-06-22 Fanny Terrier , Flore K. Kunst

We study the metal-insulator transition (MIT) in weakly coupled disordered planes on the basis of a Non-Linear Sigma Model (NL$\sigma $M). Using two different methods, a renormalization group (RG) approach and an auxiliary field method, we…

Condensed Matter · Physics 2009-10-28 N. Dupuis
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