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Topological semimetals have attracted extensive research interests for realizing condensed matter physics counterparts of three-dimensional Dirac and Weyl fermions, which were originally introduced in high energy physics. Recently it has…

Materials Science · Physics 2017-09-06 Kenan Zhang , Mingzhe Yan , Haoxiong Zhang , Huaqing Huang , Masashi Arita , Zhe Sun , Wenhui Duan , Yang Wu , Shuyun Zhou

We present a new type of three-dimensional essential Dirac semimetal with magnetic ordering. The Dirac points are protected by the magnetic space groups and cannot be gapped without lowering such symmetries, where the combined antiunitary…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Jing Wang

The symmetry properties of the order parameter characterize different phases of unconventional superconductors. In the case of the heavy-fermion superconductor UPt$_3$, a key question is whether its multiple superconducting phases preserve…

Superconductivity · Physics 2014-10-07 E. R. Schemm , W. J. Gannon , C. M. Wishne , W. P. Halperin , A. Kapitulnik

We investigate QCD with adjoint Dirac fermions on $\mathbb{R}^3\times S^1$ with generic boundary conditions for fermions along $S^1$. By means of perturbation theory, semiclassical methods and a chiral effective model, we elucidate a rich…

High Energy Physics - Phenomenology · Physics 2015-02-19 Tatsuhiro Misumi , Takuya Kanazawa

In this talk I propose a new computational scheme with overlap fermions and a fast algorithm to invert the corresponding Dirac operator.

High Energy Physics - Lattice · Physics 2015-06-25 A. Borici

We study theoretically the electron correlation effect in a three-dimensional Dirac fermion system which describes a topologically nontrivial state. It is shown within the mean-field approximation that time-reversal and inversion symmetries…

Strongly Correlated Electrons · Physics 2013-02-12 Akihiko Sekine , Kentaro Nomura

Topological semimetals with several types of three-dimensional (3D) fermion of electrons, such as Dirac fermions, Weyl fermions, Dirac nodal lines and triply degenerate nodal points have been theoretically predicted and then experimentally…

Materials Science · Physics 2018-02-28 Sami Ullah , Jiangxu Li , Ronghan Li , Qing Xie , Hui Ma , Dianzhong Li , Yiyi Li , Xing-Qiu Chen

Three-dimensional topological insulators support gapless Dirac fermion surface states whose rich topological properties result from the interplay of symmetries and dimensionality. Their topological properties have been extensively studied…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Lakshmi Pullasseri , Daniel Shaffer , Luiz H. Santos

Topological Dirac and Weyl semimetals not only host quasiparticles analogous to the elementary fermionic particles in high-energy physics, but also have nontrivial band topology manifested by exotic Fermi arcs on the surface. Recent…

We report on a mean-field study of spontaneous breaking of chiral symmetry for Dirac fermions with contact interactions in the presence of chiral imbalance, which is modelled by nonzero chiral chemical potential. We point out that chiral…

High Energy Physics - Theory · Physics 2015-01-22 P. V. Buividovich

Weyl fermions have recently been observed in several time-reversal-invariant semimetals and photonics materials with broken inversion symmetry. These systems are expected to have exotic transport properties such as the chiral anomaly.…

We report a theoretical description of novel spin-orbit torque components emerging in two-dimensional Dirac materials with broken inversion symmetry. In contrast to usual metallic interfaces where field-like and damping-like torque…

Mesoscale and Nanoscale Physics · Physics 2023-10-11 Joaquín Medina Dueñas , José H. García , Stephan Roche

Condensed matter systems provide a rich setting to realize Dirac and Majorana fermionic excitations and the possibility to manipulate them in materials for potential applications. Recently, it has been proposed that Weyl fermions, which are…

A wide class of materials that were discovered to carry a topologically protected phase order has led to a highly active area of research called topological insulators. This phenomenon has radically changed our thinking because of their…

Materials Science · Physics 2014-10-21 Cui-Zu Chang , Peng Wei , Jagadeesh. S. Moodera

We study with first-principles methods the interplay between bulk and surface Dirac fermions in three dimensional Dirac semimetals. By combining density functional theory with the coherent potential approximation, we reveal a topological…

Mesoscale and Nanoscale Physics · Physics 2014-12-18 Awadhesh Narayan , Domenico Di Sante , Silvia Picozzi , Stefano Sanvito

Kramers' theorem ensures double degeneracy in the energy spectrum of a time-reversal symmetric fermionic system with half-integer total spin. Here we are now trying to go beyond the closed system and discuss Kramers' degeneracy in open…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Pengfei Zhang , Yu Chen

Revealing the ultrafast dynamics of three-dimensional (3D) Dirac fermions upon photoexcitation is critical for both fundamental science and device applications. So far, how the cooling of 3D Dirac fermions differs from that of…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Changhua Bao , Qian Li , Sheng Xu , Shaohua Zhou , Xiang-Yu Zeng , Haoyuan Zhong , Qixuan Gao , Laipeng Luo , Dong Sun , Tian-Long Xia , Shuyun Zhou

We employ a general method, known as anomaly-matching, to derive new no-go theorems of fermionic lattice models. For our main result, we show that time-reversal invariant 3+1d lattice systems (such as Dirac and Weyl semimetals) can never…

Strongly Correlated Electrons · Physics 2025-08-28 Lei Gioia , Anton A. Burkov , Taylor L. Hughes

Materials with triply-degenerate nodal points in their low-energy electronic spectrum produce crystalline-symmetry-enforced three-fold fermions, which conceptually lie between the two-fold Weyl and four-fold Dirac fermions. Here we show how…

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…