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We derive the nonlinear optical conductivity of an isotropic electron fluid at frequencies below the interparticle collision rate. In this regime, governed by hydrodynamics, the conductivity acquires a universal form at any temperature,…

Mesoscale and Nanoscale Physics · Physics 2018-02-22 Zhiyuan Sun , D. N. Basov , M. M. Fogler

The optical conductivity of the new Dirac semimetal candidate Ir$_2$In$_8$Se is measured in a frequency range from 40 to 30000 cm$^{-1}$ at temperatures from 300 K down to 10 K. The measurement reveals that the compound is a low carrier…

Strongly Correlated Electrons · Physics 2022-09-15 S. X. Xu , H. Q. Pi , R. S. Li , T. C. Hu , Q. Wu , D. Wu , H. M. Weng , N. L. Wang

We measured the optical reflectivity of [001]-oriented $n$-doped Cd$_{3}$As$_{2}$ in a broad frequency range (50 - 22000 cm$^{-1}$) for temperatures from 10 to 300 K. The optical conductivity, $\sigma(\omega) = \sigma_{1}(\omega) + {\rm…

Mesoscale and Nanoscale Physics · Physics 2016-06-10 D. Neubauer , J. P. Carbotte , A. A. Nateprov , A. Löhle , M. Dressel , A. V. Pronin

Optical measurements and band structure calculations are reported on 3D Dirac materials. The electronic properties associated with the Dirac cone are identified in the reflectivity spectra of Cd$_3$As$_2$ and Na$_3$Bi single crystals. In…

The optical conductivity of quasicrystals is characterized by two features not seen in ordinary metallic systems. There is an absence of the Drude peak and the interband conductivity rises linearly from a very low value up to normal…

Strongly Correlated Electrons · Physics 2013-06-20 T. Timusk , J. P. Carbotte , C. C. Homes , D. N. Basov , S. G. Sharapov

A Dirac metal is a doped (gated) Dirac material with the Fermi energy ($E_\text{F}$) lying either in the conduction or valence bands. In the non-interacting picture, optical absorption in gapless Dirac metals occurs only if the frequency of…

Strongly Correlated Electrons · Physics 2023-03-16 Adamya P. Goyal , Prachi Sharma , Dmitrii L. Maslov

Prototypical three-dimensional (3D) topological Dirac semimetals (DSMs), such as Cd$_3$As$_2$ and Na$_3$Bi, contain electrons that obey a linear momentum-energy dispersion with different Fermi velocities along the three orthogonal momentum…

Materials Science · Physics 2020-08-26 J. Lim , K. J. A. Ooi , C. Zhang , L. K. Ang , Yee Sin Ang

Three-dimensional (3D) topological Dirac semimetal, when thinned down to 2D few layers, is expected to possess gapped Dirac nodes via quantum confinement effect and concomitantly display the intriguing quantum spin Hall (QSH) insulator…

Materials Science · Physics 2019-08-15 Huinan Xia , Yang Li , Min Cai , Le Qin , Nianlong Zou , Lang Peng , Wenhui Duan , Yong Xu , Wenhao Zhang , Ying-Shuang Fu

We investigate the effect of phenomenological relaxation parameters on the third order optical nonlinearity of doped graphene by perturbatively solving the semiconductor Bloch equation around the Dirac points. An analytic expression for the…

Materials Science · Physics 2015-12-24 J. L. Cheng , N. Vermeulen , J. E. Sipe

We use determinant quantum Monte Carlo (DQMC) simulations to study the role of electron-electron interactions on three-dimensional (3D) Dirac fermions based on the $\pi$-flux model on a cubic lattice. We show that the Hubbard interaction…

Strongly Correlated Electrons · Physics 2020-11-04 Yiqun Huang , Huaiming Guo , Joseph Maciejko , Richard T. Scalettar , Shiping Feng

The three dimensional (3D) Dirac semimetal, which has been predicted theoretically, is a new electronic state of matter. It can be viewed as 3D generalization of graphene, with a unique electronic structure in which conduction and valence…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 Sergey Borisenko , Quinn Gibson , Danil Evtushinsky , Volodymyr Zabolotnyy , Bernd Buechner , Robert J. Cava

The recent experimental discovery of ${\rm Cd_3 As_2}$ and ${\rm Na_3 Bi}$ Dirac semimetals enables the study of the properties of chiral quasi-particles in three spatial dimensions. As demonstrated by photoemission, Dirac semimetals are…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Dmitri E. Kharzeev , Robert D. Pisarski , Ho-Ung Yee

In this paper, we make a comprehensive study of the properties of a gapped Dirac semimetal model, which was originally proposed in the magnetoinfrared spectroscopy measurement of ZeTe$_5$, and includes both the linear and parabolic…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 Yi-Xiang Wang , Fuxiang Li

The interband optical response of a three-dimensional Dirac cone is linear in photon energy ($\Omega$). Here, we study the evolution of the interband response within a model Hamiltonian which contains Dirac, Weyl and gapped semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-03-14 C. J. Tabert , J. P. Carbotte

We study three-dimensional Dirac fermions with weak finite-range scalar potential disorder. We show that even though disorder is perturbatively irrelevant at 3D Dirac points, nonperturbative effects from rare regions give rise to a nonzero…

Strongly Correlated Electrons · Physics 2014-06-12 Rahul Nandkishore , David A. Huse , S. L. Sondhi

The low energy quasiparticle dispersion of various narrow gap and gapless semiconductors are respectively described by three dimensional massive and massless Dirac fermions. The three dimensional Dirac spinor structure admits a…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 Pallab Goswami , Bitan Roy

TlBiSSe is a rare realization of a 3D semimetal with a conically dispersing band that has an optical response which is well isolated from other contributions in a broad range of photon eneries. We report optical and magneto-optical…

The existence of large nonlinear optical coefficients is one of the preconditions for using nonlinear optical materials in nonlinear optical devices. For a crystal, such large coefficients can be achieved by matching photon energies with…

Materials Science · Physics 2018-12-27 J. L. Cheng , J. E. Sipe , S. W. Wu , Chunlei Guo

We report a unified theory based on linear response, for analyzing the longitudinal optical conductivity (LOC) of materials with tilted Dirac cones. Depending on the tilt parameter $t$, the Dirac electrons have four phases: untilted,…

Mesoscale and Nanoscale Physics · Physics 2023-11-27 Jian-Tong Hou , Chang-Xu Yan , Chao-Yang Tan , Zhi-Qiang Li , Peng Wang , Hong Guo , Hao-Ran Chang

The three-dimensional Dirac semimetal is distinct from its two-dimensional counterpart due to its dimensionality and symmetry. Here, we observe that molecule-based quasi-two-dimensional Dirac fermion system, $\alpha$-(BEDT-TTF)$_2$I$_3$,…

Strongly Correlated Electrons · Physics 2023-11-23 Naoya Tajima , Yoshitaka Kawasugi , Takao Morinari , Ryuhei Oka , Toshio Naito , Reizo Kato
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