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We study the instabilities of a particle-hole symmetric Weyl metal with both electron and hole Fermi surfaces (FS) around the Weyl points. For a repulsive interaction, we find that the leading instability is towards a longitudinal…

Strongly Correlated Electrons · Physics 2016-08-17 Yuxuan Wang , Peng Ye

The nonlinear optical responses from topological semimetals are crucial in both understanding the fundamental properties of quantum materials and designing next-generation light-sensors or solar-cells. However, previous work was focusing on…

Topological phases of matter exhibit phase transitions between distinct topological classes. These phase transitions are exotic in that they do not fall within the traditional Ginzburg-Landau paradigm but are instead associated with changes…

In contrast to conventional Weyl semimetals in achiral crystals, chiral topological semimetals in chiral crystals exhibit Weyl nodes at time-reversal-invariant momenta. A Fermi surface spin texture with parallel spin-momentum locking in…

Superconductivity · Physics 2025-08-12 Yingyi Huang

Topological metals and semimetals (TMs) have recently drawn significant interest. These materials give rise to condensed matter realizations of many important concepts in high-energy physics, leading to wide-ranging protected properties in…

Topologically protected fermionic quasiparticles appear in metals, where band degeneracies occur at the Fermi level, dictated by the band structure topology. While in some metals these quasiparticles are direct analogues of elementary…

Mesoscale and Nanoscale Physics · Physics 2016-07-11 Ziming Zhu , Georg W. Winkler , QuanSheng Wu , Ju Li , Alexey A. Soluyanov

We propose that phonons can intrinsically mediate topological superconductivity on the surface of Weyl semimetals. Weyl semimetals are gapless topological materials with nondegenerate zero energy surface states known as Fermi arcs. We…

Superconductivity · Physics 2025-09-15 Kristian Mæland , Masoud Bahari , Björn Trauzettel

We study the occurrence of symmetry-enforced topological band crossings in tetragonal crystals with strong spin-orbit coupling. By computing the momentum dependence of the symmetry eigenvalues and the global band topology in the entire…

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…

Chiral fermions in solid state feature "Fermi arc" states, connecting the surface projections of the bulk chiral nodes. The surface Fermi arc is a signature of nontrivial bulk topology. Unconventional chiral fermions with an extensive Fermi…

A Weyl semimetal with a pair of Weyl nodes accommodates chiral states on its flat surface if the Weyl nodes are projected onto two different points in the corresponding surface Brillouin zone. These surface states are collectively referred…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Yositake Takane

Weyl semimetals are well-known for hosting topologically protected linear band crossings, serving as the analog of the relativistic Weyl Fermions in the condensed matter context. Such analogy persists deeply, allowing the existence of the…

Mesoscale and Nanoscale Physics · Physics 2024-02-15 Yang Gao

The ideas of topology have found tremendous success in Hermitian physical systems, but even richer properties exist in the more general non-Hermitian framework. Here, we theoretically propose and experimentally demonstrate a new…

Topological phases of matter have established a new paradigm in physics, bringing quantum phenomena to the macroscopic scale and hosting exotic emergent quasiparticles. In this thesis, I theoretically and experimentally demonstrate with my…

Strongly Correlated Electrons · Physics 2020-11-03 Ilya Belopolski

In topological Weyl semimetals, the low energy excitations are comprised of linearly dispersing Weyl fermions, which act as monopoles of Berry curvature in momentum space and result in topologically protected Fermi arcs on the surfaces. We…

Mesoscale and Nanoscale Physics · Physics 2018-06-06 Timothy M. McCormick , Sarah J. Watzman , Joseph P. Heremans , Nandini Trivedi

The Fermi surface topology of a Weyl semimetal (WSM) depends strongly on the position of the chemical potential. If it resides close to the band touching points (Weyl nodes), as it does in TaAs, separate Fermi surfaces of opposite chirality…

Strongly Correlated Electrons · Physics 2019-02-22 K. A. Modic , Tobias Meng , Filip Ronning , Eric D. Bauer , Philip J. W. Moll , B. J. Ramshaw

The three-dimensional topological semimetals represent a new quantum state of matter. Distinct from the surface state in the topological insulators that exhibits linear dispersion in two-dimensional momentum plane, the three-dimensional…

Weyl points emerge as topological monopoles of Berry flux in the three-dimensional (3D) momentum space and have been extensively studied in topological semimetals. As the underlying topological principles apply to any type of waves under…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Hao Ge , Xu Ni , Yuan Tian , Samit Kumar Gupta , Ming-Hui Lu , Xin Lin , Wei-Dong Huang , C. T. Chan , Yan-Feng Chen

In periodic systems, band degeneracies are usually protected and classified by spatial symmetries. However, the Gamma point at zero-frequency of a photonic system is an intrinsic degeneracy due to the polarization degree of freedom of…

Mesoscale and Nanoscale Physics · Physics 2023-08-03 Dongyang Wang , Hongwei Jia , Quanlong Yang , Jing Hu , Z. Q. Zhang , C. T. Chan

We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Sumathi Rao
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