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We extend the study of fermionic particle-hole symmetric semi-Dirac (alternatively, semi-Weyo) dispersion of quasiparticles, $\varepsilon_K = \pm \sqrt{(k_x^2/2m)^2 + (vk_y)^2)} = \pm \varepsilon_0 \sqrt{K_x^4 + K_y^2}$ in dimensionless…

介观与纳米尺度物理 · 物理学 2015-06-05 Swapnonil Banerjee , Warren E. Pickett

We demonstrate a few unique dynamical properties of point-gap Weyl semimetal, an intrinsic non-Hermitian topological phase in three dimensions. We consider a concrete model where a pair of Weyl points reside on the imaginary axis of the…

介观与纳米尺度物理 · 物理学 2022-09-20 Haiping Hu , Erhai Zhao , W. Vincent Liu

The current-voltage characteristics of a new range of devices built around Weyl semimetals has been predicted using the Landauer formalism. The potential step and barrier have been reconsidered for a three-dimensional Weyl semimetals, with…

材料科学 · 物理学 2017-06-13 R. D. Y. Hills , A. Kusmartseva , F. V. Kusmartsev

The photogalvanic effect -- a rectified current induced by light irradiation -- requires the intrinsic symmetry of the medium to be sufficiently low, which strongly limits candidate materials for this effect. In this work we explore how in…

介观与纳米尺度物理 · 物理学 2022-04-12 J. F. Steiner , A. V. Andreev , M. Breitkreiz

We develop a systematic Hamiltonian formulation of minimally doubled lattice fermions in (3+1) dimensions, derive their nodal structures (structures of zeros), and classify their symmetry patterns for both four-component Dirac and…

高能物理 - 格点 · 物理学 2026-04-29 Tatsuhiro Misumi

We theoretically investigate ferromagnetic ordering in magnetically doped solid-solution narrow-gap semiconductors with the strong spin-orbit interaction such as Cr-doped Bi$_2$(Se$_x$Te$_{1-x}$)$_3$. We compute the spontaneous…

介观与纳米尺度物理 · 物理学 2016-04-13 Daichi Kurebayashi , Kentaro Nomura

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

强关联电子 · 物理学 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

Weyl fermions play a major role in quantum field theory but have been quite elusive as fundamental particles. Materials based on quasi two-dimensional bismuth layers were recently designed and provide an arena for the study of the interplay…

强关联电子 · 物理学 2016-12-07 M. Chinotti , A. Pal , W. J. Ren , C. Petrovic , L. Degiorgi

The behavior of three-dimensional (3D) semimetals under strong magnetic fields is a topic of recurring interest in condensed matter physics. Recently, the advent of Weyl and Dirac semimetals has brought about an interesting platform for…

强关联电子 · 物理学 2022-05-11 Sarbajaya Kundu , Claude Bourbonnais , Ion Garate

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…

强关联电子 · 物理学 2017-08-02 Weizhu Yi , Qiu-Shi Wang , Rui Wang , Baigeng Wang

Weyl semimetals are recently discovered materials supporting emergent relativistic fermions in the vicinity of band-crossing points known as Weyl nodes. The positions of the nodes and the low-energy spectrum depend sensitively on the…

介观与纳米尺度物理 · 物理学 2017-11-08 Alex Westström , Teemu Ojanen

Weyl semimetals (WSMs) have Weyl nodes where conduction and valence bands meet in the absence of inversion or time-reversal symmetry (TRS), or both. Interesting phenomena are expected in WSMs such as the chiral magnetic effect, anomalous…

介观与纳米尺度物理 · 物理学 2018-08-22 John W. Villanova , Kyungwha Park

Weyl semimetals are a class of materials that can be regarded as three-dimensional analogs of graphene breaking time reversal or inversion symmetry. Electrons in a Weyl semimetal behave as Weyl fermions, which have many exotic properties,…

材料科学 · 物理学 2015-08-05 B. Q. Lv , H. M. Weng , B. B. Fu , X. P. Wang , H. Miao , J. Ma , P. Richard , X. C. Huang , L. X. Zhao , G. F. Chen , Z. Fang , X. Dai , T. Qian , H. Ding

We define Weyl fermions on a finite lattice in such a way that in the path integral the action is gauge invariant but the functional measure is not. Two variants of such a formulation are tested in perturbative calculation of the fermion…

高能物理 - 格点 · 物理学 2014-11-17 Sergei V. Zenkin

In this Ph.D. thesis a model for graphene in presence of quantized electromagnetic interactions is introduced. The zero and low temperature properties of the model are studied using rigorous renormalization group methods and lattice Ward…

强关联电子 · 物理学 2011-05-09 Marcello Porta

Recent experimental realization of long sought Weyl fermions in non-magnetic crystals has greatly motivated condensed matter physicists to search for materials supporting Weyl fermions. Weyl fermions appear to be very promising for future…

We study orbital diamagnetism at zero temperature in $(2+1)$-dimensional Dirac fermions with a short-range interaction which exhibits a quantum phase transition to a charge density wave (CDW) phase. We introduce orbital magnetic fields into…

强关联电子 · 物理学 2022-09-22 Yasuhiro Tada

We show the occurence of Dirac, Triple point, Weyl semimetal and topological insulating phase in a single ternary compound using specific symmetry preserving perturbations. Based on {\it first principle} calculations, \textbf{\textit{k.p}}…

材料科学 · 物理学 2019-05-15 Chiranjit Mondal , C. K. Barman , Aftab Alam , Biswarup Pathak

Weyl fermions are hypothetical chiral particles that can also manifest as excitations near three-dimensional band crossing points in lattice systems. These quasiparticles are subject to the Nielsen-Ninomiya "no-go" theorem when placed on a…

介观与纳米尺度物理 · 物理学 2024-08-07 André Grossi Fonseca , Sachin Vaidya , Thomas Christensen , Mikael C. Rechtsman , Taylor L. Hughes , Marin Soljačić

When a Dirac semimetal is subject to a circularly polarized laser, it is predicted that the Dirac cone splits into two Weyl nodes and a nonequilibrium transient state called the Floquet Weyl semimetal is realized. We focus on the previously…

介观与纳米尺度物理 · 物理学 2017-08-02 Leda Bucciantini , Sthitadhi Roy , Sota Kitamura , Takashi Oka