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We study nonlinear magneto-optical responses of metals by a semiclassical Boltzmann equation approach. We derive general formulas for linear and second order nonlinear optical effects in the presence of magnetic fields that include both…

Mesoscale and Nanoscale Physics · Physics 2016-12-20 Takahiro Morimoto , Shudan Zhong , Joseph Orenstein , Joel E. Moore

Magnetic Weyl semimetal (WSM) is of great importance both for fundamental physics and potential applications due to its spontaneous magnetism, robust band topology, and enhanced Berry curvature. It possesses many unique quantum effects,…

Materials Science · Physics 2022-09-15 Yuefang Hu , Changming Yue , Danwen Yuan , Jiacheng Gao , Zhigao Huang , Zhong Fang , Chen Fang , Hongming Weng , Wei Zhang

Using topological band theory analysis we show that the nonsymmorphic symmetry operations in hexagonal lattices enforce Weyl points at the screw-invariant high-symmetry lines of the band structure. The corepresentation theory and…

Materials Science · Physics 2021-01-15 Rafael González-Hernández , Erick Tuiran , Bernardo Uribe

With the help of the Berry curvature and the first Chern number $($$\textit{C}_1$$)$, we both analytically and numerically investigate and thus simulate artificial magnetic monopoles formed in parameter space of the Hamiltonian of a driven…

Quantum Physics · Physics 2021-02-03 Ze-Lin Zhang , Ming-Feng Chen , Huai-Zhi Wu , Zhen-Biao Yang

Topological magnets exhibit fascinating properties like topologically protected surface states or anomalous transport phenomena. While these properties can be significantly altered by manipulating the magnetic state, the experimental…

Weyl fermion, also referred to as pseudo-magnetic monopole in momentum space, is an undiscovered massless elementary particle with half-integer spin predicted according to relativistic quantum field theory. Motivated by the recent…

Quantum Gases · Physics 2022-06-29 Cheng-Gong Liang , Ze-Gang Liu , Wei Han

In 1929, Hermann Weyl derived the massless solutions from the Dirac equation - the relativistic wave equation for electrons. Neutrinos were thought, for decades, to be Weyl fermions until the discovery of the neutrino mass. Moreover, it has…

Materials Science · Physics 2016-10-31 Ling Lu , Zhiyu Wang , Dexin Ye , Lixin Ran , Liang Fu , John D. Joannopoulos , Marin Soljačić

Very recently, novel quasiparticles beyond those mimicking the elementary high-energy particles such as Dirac and Weyl fermions have attracted great interest in condensed matter physics and materials science1-9. Here we report the first…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Hailong He , Chunyin Qiu , Xiangxi Cai , Meng Xiao , Manzhu Ke , Fan Zhang , Zhengyou Liu

Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Yinong Zhou , Kyung-Hwan Jin , Huaqing Huang , Zhengfei Wang , Feng Liu

Non-Hermiticity in Weyl Hamiltonian leads to the realization of Weyl exceptional rings and flat bands inside the Weyl exceptional rings. Recently, the platform of non-Hermitian physics is extended to many-body or disordered systems where…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Taiki Matsushita , Yuki Nagai , Satoshi Fujimoto

We discuss the modified quantum electrodynamics from a time-reversal-breaking Weyl semimetal coupled with a $U(1)$ gauge (electromagnetic) field. A key role is played by the soft dispersion of the photons in a particular direction, say…

Strongly Correlated Electrons · Physics 2023-02-01 Xuzhe Ying , A. A. Burkov , Chong Wang

Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerate at a single momentum point, labeled as Weyl point. These points have remarkable properties such as being robust topological monopoles of…

Weyl fermions are hypothetical two-component massless relativistic particles in three-dimensional (3D) space, proposed by Hermann Weyl in 1929. Their band-crossing points, called 'Weyl points,' carry a topological charge and are therefore…

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…

Materials Science · Physics 2017-10-26 Sobhit Singh , A. C. Garcia-Castro , Irais Valencia-Jaime , Francisco Muñoz , Aldo H. Romero

Weyl semimetals (WSMs) have recently attracted a great deal of attention as they provide condensed matter realization of chiral anomaly, feature topologically protected Fermi arc surface states and sustain sharp chiral Weyl quasiparticles…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Robert-Jan Slager , Vladimir Juricic , Bitan Roy

Recent discoveries on topological characterization of gapless systems have attracted interest in both theoretical studies and experimental realizations. Examples of such gapless topological phases are Weyl semimetals, which exhibit 3D Dirac…

Chaotic Dynamics · Physics 2016-02-24 Raditya Weda Bomantara , Gudapati Naresh Raghava , Longwen Zhou , Jiangbin Gong

We investigate the interplay of many-body and band structure effects of interacting Weyl semimetals (WSM). Attractive and repulsive Hubbard interactions are studied within a model for a time-reversal-breaking WSM with tetragonal symmetry,…

Strongly Correlated Electrons · Physics 2017-01-06 Manuel Laubach , Christian Platt , Ronny Thomale , Titus Neupert , Stephan Rachel

We study topological properties of families of Hamiltonians which may contain degenerate energy levels aka. band crossings. The primary tool are Chern classes, Berry phases and slicing by surfaces. To analyse the degenerate locus, we study…

Mathematical Physics · Physics 2018-07-19 Ralph M. Kaufmann , Sergei Khlebnikov , Birgit Wehefritz-Kaufmann

Topological physics has broadened its scope from the study of topological insulating phases to include nodal phases containing band structure singularities. The geometry of the corresponding quantum states is described by the quantum metric…

Weyl semimetals are conductors whose low-energy bulk excitations are Weyl fermions, whereas their surfaces possess metallic Fermi arc surface states. These Fermi arc surface states are protected by a topological invariant associated with…

Materials Science · Physics 2017-02-24 M. Zahid Hasan , Su-Yang Xu , Ilya Belopolski , Shin-Ming Huang
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