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We present a magneto-infrared spectroscopy study on a newly identified three-dimensional (3D) Dirac semimetal ZrTe$_5$. We observe clear transitions between Landau levels and their further splitting under magnetic field. Both the sequence…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 R. Y. Chen , Z. G. Chen , X. -Y. Song , J. A. Schneeloch , G. D. Gu , F. Wang , N. L. Wang

We study the Quantum Electrodynamics of 2D and 3D Dirac semimetals by means of a self-consistent resolution of the Schwinger-Dyson equations, aiming to obtain the respective phase diagrams in terms of the relative strength of the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 J. Gonzalez

Three-dimensional Weyl and Dirac semimetals can support a chiral-symmetry-breaking, fully gapped, charge-density-wave order even for sufficiently weak repulsive electron-electron interactions, when placed in strong magnetic fields. In the…

Mesoscale and Nanoscale Physics · Physics 2015-12-25 Bitan Roy , Jay D. Sau

We evaluate the dispersion relation for massless fermions, described by the Dirac equation, and for zero-spin bosons, described by the Klein-Gordon equation, moving in two dimensions and in the presence of a one-dimensional periodic…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Barbier , F. M. Peeters , P. Vasilopoulos , J. Milton Pereira

Electric conductivities may reveal the topological and magnetic properties of band structures in solids, especially for two-dimensional unpaired Dirac fermions. In this work, we evaluate the longitudinal and Hall conductivity for unpaired…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Bo Fu , Kai-Zhi Bai , Shi-Hao Bi , Shun-Qing Shen

We calculate the optical (cutoff >> frequency >> temperature) conductivity in clean graphene in the ultimate low-energy regime, when retardation effects of the electromagnetic interaction become important and when the full Lorentz symmetry…

Strongly Correlated Electrons · Physics 2013-06-12 Igor F. Herbut , Vieri Mastropietro

We show that a class of compounds with $I$4/$mcm$ crystalline symmetry hosts three-dimensional semi-Dirac fermions. Unlike the known two-dimensional semi-Dirac points, the degeneracy of these three-dimensional semi-Dirac points is not…

Strongly Correlated Electrons · Physics 2022-01-07 Narayan Mohanta , Jong Mok Ok , Jie Zhang , Hu Miao , Elbio Dagotto , Ho Nyung Lee , Satoshi Okamoto

We study the dependence of the electric conductivity on chemical potential in finite-density $SU(2)$ gauge theory with $N_f = 2$ flavours of rooted staggered sea quarks, in combination with Wilson-Dirac and Domain Wall valence quarks. The…

High Energy Physics - Lattice · Physics 2020-11-25 P. V. Buividovich , D. Smith , L. von Smekal

Three-dimensional Dirac semimetals, a three-dimensional analogue of graphene, are unusual quantum materials with massless Dirac fermions, which can be further converted to Weyl fermions by breaking time reversal or inversion symmetry.…

Mesoscale and Nanoscale Physics · Physics 2016-03-24 Li-Xian Wang , Cai-Zhen Li , Da-Peng Yu , Zhi-Min Liao

We report a theoretical \textit{ab-initio} study of $\beta$-As$_2$Te$_3$ ($R\bar{3}m$ symmetry) at hydrostatic pressures up to 12 GPa. We have systematically characterized the vibrational and electronic changes of the system induced by the…

Diagonal and off-diagonal optical conductivity spectra have been determined form the measured reflectivity and magneto-optical Kerr effect (MOKE) over a broad range of photon energy in the itinerant ferromagnetic phase of CuCr$_2$Se$_4$ at…

Materials Science · Physics 2015-05-13 S. Bordács , I. Kézsmárki , K. Ohgushi , Y. Tokura

It was recently shown that conventional phonon-electron interactions may induce a triplet pairing state in time-reversal invariant 3D Dirac semi - metals. Starting from the microscopic model of the isotropic Dirac semi-metal, the…

Superconductivity · Physics 2015-04-07 B. Rosenstein , B. Ya. Shapiro , I. Shapiro

Nodal line semimetals, a class of topological quantum materials, exhibit a variety of novel phenomena due to their properties, such as bands touching on a one-dimensional line or a ring in the Brillouin zone and drumhead-like surface…

Strongly Correlated Electrons · Physics 2024-10-08 Vivek Pandey , Dayana Joy , Dimitrie Culcer , Pankaj Bhalla

We develop a theory of the nonlinear optical responses in superconducting systems in the presence of a dc supercurrent. The optical transitions between particle-hole pair bands across the superconducting gap are allowed in clean…

Superconductivity · Physics 2023-12-29 Linghao Huang , Jing Wang

The complex optical conductivity of the half-Heusler compound GdPtBi is measured in a frequency range from 20 to 22 000 cm$^{-1}$ (2.5 meV - 2.73 eV) at temperatures down to 10 K in zero magnetic field. We find the real part of the…

Mesoscale and Nanoscale Physics · Physics 2018-10-29 F. Hütt , A. Yaresko , M. B. Schilling , C. Shekhar , C. Felser , M. Dressel , A. V. Pronin

We study theoretically the properties of the interacting Dirac liquid, a novel three-dimensional many-body system which was recently experimentally realized and in which the electrons have a chiral linear relativistic dispersion and a…

Mesoscale and Nanoscale Physics · Physics 2015-07-07 Johannes Hofmann , Edwin Barnes , S. Das Sarma

We investigate two-dimensional Dirac fermions embedded in a deep-subwavelength cavity formed by high-impedance metasurfaces. We point out that, unlike conventional metallic boundaries, these metasurfaces support quasielectrostatic…

Strongly Correlated Electrons · Physics 2026-05-21 Yuxuan Guo , Yuto Ashida

It has been recently demonstrated experimentally that graphene, or single-layer carbon, is a gapless semiconductor with massless Dirac energy spectrum. A finite conductivity per channel of order of $e^{2}/h$ in the limit of zero temperature…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson

We show how strongly interacting two-dimensional Dirac fermions can be realized with ultracold atoms in a two-dimensional optical square lattice with an experimentally realistic, inherent gauge field, which breaks time-reversal and…

Quantum Gases · Physics 2015-05-13 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

The coupled-wires approach has been shown to be useful in describing two-dimensional strongly interacting topological phases. In this manuscript we extend this approach to three-dimensions, and construct a model for a fractional strong…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Eran Sagi , Yuval Oreg