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Title: Semiclassical Boltzmann transport theory for multi-Weyl semimetals

Authors:
; ; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1352972
Grant/Contract Number:
FG02-ER45118
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 16; Related Information: CHORUS Timestamp: 2017-04-24 22:12:35; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Park, Sanghyun, Woo, Seungchan, Mele, E. J., and Min, Hongki. Semiclassical Boltzmann transport theory for multi-Weyl semimetals. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.161113.
Park, Sanghyun, Woo, Seungchan, Mele, E. J., & Min, Hongki. Semiclassical Boltzmann transport theory for multi-Weyl semimetals. United States. doi:10.1103/PhysRevB.95.161113.
Park, Sanghyun, Woo, Seungchan, Mele, E. J., and Min, Hongki. Mon . "Semiclassical Boltzmann transport theory for multi-Weyl semimetals". United States. doi:10.1103/PhysRevB.95.161113.
@article{osti_1352972,
title = {Semiclassical Boltzmann transport theory for multi-Weyl semimetals},
author = {Park, Sanghyun and Woo, Seungchan and Mele, E. J. and Min, Hongki},
abstractNote = {},
doi = {10.1103/PhysRevB.95.161113},
journal = {Physical Review B},
number = 16,
volume = 95,
place = {United States},
year = {Mon Apr 24 00:00:00 EDT 2017},
month = {Mon Apr 24 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevB.95.161113

Citation Metrics:
Cited by: 5works
Citation information provided by
Web of Science

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  • Cited by 15
  • We present numerical solutions of the semiclassical Boltzmann-Vlasov equation for fermion particle-antiparticle production by strong electric fields in boost-invariant coordinates in (1+1) and (3+1) dimensional QED. We compare the Boltzmann-Vlasov results with those of recent quantum field theory calculations and find good agreement. We conclude that extending the Boltzmann-Vlasov approach to the case of QCD should allow us to do a thorough investigation of how backreaction affects recent results on the dependence of the transverse momentum distribution of quarks and antiquarks on a second Casimir invariant of color SU(3)
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  • A class of gas-kinetic BGK schemes for solving quantum hydrodynamic transport based on the semiclassical Boltzmann equation with the relaxation time approximation is presented. The derivation is a generalization to the development of Xu [K. Xu, A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method, from gas-kinetic theory, J. Comput. Phys. 171 (2001) 289-335] for the classical gas. Both Bose-Einstein and Fermi-Dirac gases are considered. Some new features due to the quantum equilibrium distributions are delineated. The first-order Chapman-Enskog expansion of the quantum BGK-Boltzmann equation is derived. The coefficients of shear viscositymore » and thermal conductivity of a quantum gas are given. The van Leer's limiter is used to interpolate and construct the distribution on interface to achieve second-order accuracy. The present quantum gas-kinetic BGK scheme recovers the Xu's scheme when the classical limit is taken. Several one-dimensional quantum gas flows in a shock tube are computed to illustrate the present method.« less