Phase transitions and conductivities of Floquet fluids
Journal of High Energy Physics
September 2018, 2018:82 | Cite as
Phase transitions and conductivities of Floquet fluids
AuthorsAuthors and affiliations
Andrew BaumgartnerMichael Spillane
Open Access
Regular Article - Theoretical Physics
First Online: 14 September 2018
Received: 24 April 2018
Revised: 17 August 2018
Accepted: 30 August 2018
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Abstract
We investigate the phase structure and conductivity of a relativistic fluid in a circulating electric field with a transverse magnetic field. This system exhibits behavior similar to other driven systems such as strongly coupled driven CFTs [1] or a simple anharmonic oscillator. We identify distinct regions of fluid behavior as a function of driving frequency, and argue that a “phase” transition will occur. Such a transition could be measurable in graphene, and may be characterized by sudden discontinuous increase in the Hall conductivity. The presence of the discontinuity depends on how the boundary is approached as the frequency or amplitude is dialed. In the region where two solution exists the measured conductivity will depend on how the system is prepared.
Keywords Holography and condensed matter physics (AdS/CMT) Holography and quark-gluon plasmas
ArXiv ePrint: 1802.05285
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Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
References
[1]
M. Rangamani, M. Rozali and A. Wong, Driven Holographic CFTs, JHEP 04 (2015) 093 [arXiv:1502.05726] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
[2]
J. Cayssol, B. Dóra, F. Simon and R. Moessner, Floquet topological insulators, Phys. Status Solidi RRL 7 (2013) 101 [arXiv:1211.5623].CrossRefGoogle Scholar
[3]
D. Carpentier, P. Delplace, M. Fruchart and K. Gawedzki, Topological index for periodically driven time-reversal invariant 2d systems, Phys. Rev. Lett. 114 (2015) 106806 [arXiv:1407.7747].ADSMathSciNetCrossRefGoogle Scholar
[4]
R. Roy and F. Harper, Periodic table for Floquet topological insulators, Phys. Rev. B 96 (2017) 155118 [arXiv:1603.06944].
[5]
F. Nathan and M.S. Rudner, Topological singularities and the general classification of Floquet-Bloch systems, New J. Phys. 17 (2015) 125014 [arXiv:1506.07647].ADSCrossRefGoogle Scholar
[6]
R. Wang, B. Wang, R. Shen, L. Sheng and D.Y. Xing, Floquet Weyl semimetal induced by off-resonant light, Europhys. Lett. 105 (2014) 17004 [arXiv:1308.4266].ADSCrossRefGoogle Scholar
[7]
C.-K. Chan, P.A. Lee, K.S. Burch, J.H. Han and Y. Ran, When chiral photons meet chiral fermions — Photoinduced anomalous Hall effects in Weyl semimetals, Phys. Rev. Lett. 116 (2016) 026805 [arXiv:1509.05400] [INSPIRE].
[8]
S. Ebihara, K. Fukushima and T. Oka, Chiral pumping effect induced by rotating electric fields, Phys. Rev. B 93 (2016) 155107 [arXiv:1509.03673] [INSPIRE].
[9]
D.V. Else, B. Bauer and C. Nayak, Floquet time crystals, Phys. Rev. Lett. 117 (2016) 090402 [arXiv:1603.08001].
[10]
I.-D. Potirniche, A.C. Potter, M. Schleier-Smith, A. Vishwanath and N.Y. Yao, Floquet symmetry-protected topological phases in cold-atom systems, Phys. Rev. Lett. 119 (2017) 123601 [arXiv:1610.07611].ADSCrossRefGoogle Scholar
[11]
H.C. Po, L. Fidkowski, A. Vishwanath and A.C. Potter, Radical chiral Floquet phases in a periodically driven Kitaev model and beyond, Phys. Rev. B 96 (2017) 245116 [arXiv:1701.01440].
[12]
M.S. Rudner, N.H. Lindner, E. Berg and M. Levin, Anomalous edge states and the bulk-edge correspondence for periodically driven two-dimensional systems, Phys. Rev. X 3 (2013) 031005 [arXiv:1212.3324].
[13]
A. Biasi, P. Carracedo, J. Mas, D. Musso and A. Serantes, Floquet Scalar Dynamics in Global AdS, JHEP 04 (2018) 137 [arXiv:1712.07637] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
[14]
R. Auzzi, S. Elitzur, S.B. Gudnason and E. Rabinovici, On periodically driven AdS/CFT, JHEP 11 (2013) 016 [arXiv:1308.2132] [INSPIRE].ADSCrossRefGoogle Scholar
[15]
W.-J. Li, Y. Tian and H.-b. Zhang, Periodically Driven Holographic Superconductor, JHEP 07 (2013) 030 [arXiv:1305.1600] [INSPIRE].ADSCrossRefGoogle Scholar
[16]
K. Hashimoto, S. Kinoshita, K. Murata and T. Oka, Holographic Floquet states I: a strongly coupled Weyl semimetal, JHEP 05 (2017) 127 [arXiv:1611.03702] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
[17]
S. Kinoshita, K. Murata and T. Oka, Holographic Floquet states II: Floquet condensation of vector mesons in nonequilibrium phase diagram, JHEP 06 (2018) 096 [arXiv:1712.06786] [INSPIRE].ADSCrossRefGoogle Scholar
[18]
R. Moessner, P. Surówka and P. Witkowski, Pulsating flow and boundary layers in viscous electronic hydrodynamics, Phys. Rev. B 97 (2018) 161112 [arXiv:1710.00354].
[19]
A. Lucas and K.C. Fong, Hydrodynamics of electrons in graphene, J. Phys. Condens. Matter 30 ( (...truncated)