Phase transitions and conductivities of Floquet fluids

Journal of High Energy Physics, Sep 2018

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.

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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 22 Downloads 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 Download to read the full article text Notes 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)


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Andrew Baumgartner, Michael Spillane. Phase transitions and conductivities of Floquet fluids, Journal of High Energy Physics, 2018, pp. 82, Volume 2018, Issue 9, DOI: 10.1007/JHEP09(2018)082