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Type-II Weyl fermions may emerge behind the event horizon of black holes. We employ the Painlev\'e-Gullstrand metric to study the surface of the Lifshitz transition at the horizon, equivalent to the interface separating the type-I and…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Iftekher S. Chowdhury , Hom Nath Dhungana , Shah Haque , Hind Adawi , Eric Howard

Topological Lifshitz transitions involve many types of topological structures in momentum and frequency-momentum spaces: Fermi surfaces, Dirac lines, Dirac and Weyl points, etc. Each of these structures has their own topological invariant…

Other Condensed Matter · Physics 2019-09-04 G. E. Volovik

Topological Lifshitz phase transition characterizes an abrupt change of the topology of the Fermi surface through a continuous deformation of parameters. Recently, Lifshitz transition has been predicted to separate two types of Weyl points:…

Quantum Gases · Physics 2016-11-23 Yong Xu , L. -M. Duan

Recently, realizing new fermions, such as type-I and type-II Dirac/Weyl fermions in condensed matter systems, has attracted considerable attention. Here we show that the transition state from type-I to type-II Dirac fermions can be viewed…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Huaqing Huang , Kyung-Hwan Jin , Feng Liu

The boundary between the type I and type II Weyl semimetals serves as the event horizon for the "relativistic" fermions. The interior of the black hole is represented by the type II Weyl semimetal, where the Fermi surface is formed. The…

General Relativity and Quantum Cosmology · Physics 2021-09-01 G. E. Volovik

Fermi surface is at the heart of our understanding of metals and strongly correlated many-body systems. An abrupt change in the Fermi surface topology, also called Lifshitz transition, can lead to the emergence of fascinating phenomena like…

We extend a top-down holographic model of a Weyl semimetal to finite charge density and compute the fermionic spectral function by introducing two probe fermions of opposite chirality. The model is controlled by the boundary fermion mass M…

High Energy Physics - Theory · Physics 2025-10-01 Cheng-Yuan Lu , Xian-Hui Ge , Sang-Jin Sin

Type-II Dirac/Weyl semimetals are characterized by strongly tilted Dirac cones such that the Dirac/Weyl node emerges at the boundary of electron and hole pockets as a new state of quantum matter, distinct from the standard Dirac/Weyl points…

Strongly Correlated Electrons · Physics 2018-08-24 Chunqiang Xu , Bin Li , Wenhe Jiao , Wei Zhou , Bin Qian , Raman Sankar , Nikolai D. Zhigadlo , Yanpeng Qi , Dong Qian , Fang-Cheng Chou , Xiaofeng Xu

We investigate the magnetotransport of topological Dirac semimetals (DSMs) by taking into account the Lifshitz transition of the Fermi arc surface states. We demonstrate that a bulk momentum-dependent gap term, which is usually neglected in…

Strongly Correlated Electrons · Physics 2023-09-18 Tao-Rui Qin , Zhuo-Hua Chen , Tian-Xing Liu , Fu-Yang Chen , Hou-Jian Duan , Ming-Xun Deng , Rui-Qiang Wang

The hallmark of Weyl semimetals is the existence of open constant-energy contours on their surface -- the so-called Fermi arcs -- connecting Weyl points. Here, we show that for time-reversal symmetric realizations of Weyl semimetals these…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Alexander Lau , Klaus Koepernik , Jeroen van den Brink , Carmine Ortix

We introduce a two-band model of three-dimensional nodal line semimetals, the Fermi surface of which at half-filling may form various one-dimensional configurations of different topology. We study the symmetries and "drumhead" surface…

Mesoscale and Nanoscale Physics · Physics 2018-05-03 Hui Jiang , Linhu Li , Jiangbin Gong , Shu Chen

In a semimetal, both electron and hole carriers contribute to the density of states at the Fermi level. The small band overlaps and multi-band effects give rise to many novel electronic properties, such as relativistic Dirac fermions with…

Materials Science · Physics 2015-12-07 Z. J. Xiang , G. J. Ye , C. Shang , B. Lei , N. Z. Wang , K. S. Yang , D. Y. Liu , F. B. Meng , X. G. Luo , L. J. Zou , Z. Sun , Y. B. Zhang , X. H. Chen

Lifshitz transitions are topological transitions of a Fermi surface, whose signatures typically appear in the conduction properties of a host metal. Here, we demonstrate, using an extended Falicov- Kimball model of a two-flavor fermion…

Strongly Correlated Electrons · Physics 2024-01-09 Adam Eaton , Dibya Mukherjee , Herbert Fertig

Lifshitz transition is a kind of topological phase transition in which the Fermi surface is reconstructed. It can occur in the two-dimensional (2D) tilted Dirac materials when the energy bands change between the type-I phase ($0<t<1$) and…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 Chao-Yang Tan , Jian-Tong Hou , Chang-Xu Yan , Hong Guo , Hao-Ran Chang

Recently, a new "type-II" Weyl fermion, which exhibits exotic phenomena such as angle-dependent chiral anomaly, was discovered in a new phase of matter where electron and hole pockets contact at isolated Weyl points. [Nature \textbf{527},…

Materials Science · Physics 2016-10-05 Huaqing Huang , Shuyun Zhou , Wenhui Duan

The recently discovered type-II Weyl points appear at the boundary between electron and hole pockets. Type-II Weyl semimetals that host such points are predicted to exhibit a new type of chiral anomaly and possess thermodynamic properties…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 G. Autès , D. Gresch , M. Troyer , A. A. Soluyanov , O. V. Yazyev

Weyl semimetal is a new quantum state of matter [1-12] hosting the condensed matter physics counterpart of relativisticWeyl fermion [13] originally introduced in high energy physics. The Weyl semimetal realized in the TaAs class features…

One hallmark of the Weyl semimetal is the emergence of Fermi arcs (FAs) in the surface Brillouin zone that connect the projected Weyl nodes of opposite chirality. The unclosed FAs can give rise to various exotic effects that have attracted…

Mesoscale and Nanoscale Physics · Physics 2023-10-18 Yue Zheng , Wei Chen , Xiangang Wan , D. Y. Xing

A Dirac fermion in a topological Dirac semimetal is a quadruple-degenerate quasi-particle state with a relativistic linear dispersion. Breaking either time-reversal or inversion symmetry turns this system into a Weyl semimetal that hosts…

Materials Science · Physics 2017-07-07 Han-Jin Noh , Jinwon Jeong , En-Jin Cho , Kyoo Kim , B. I. Min , Byeong-Gyu Park

A current flowing through a superconductor induces a spatial modulation in its superconducting order parameter, characterized by a wavevector $Q$ related to the total momentum of a Cooper pair. Here we investigate this phenomenon in a…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Fabian G. Medina Cuy , Francesco Buccheri , Fabrizio Dolcini
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