Abstract
We study a holographic D3/probe-D5-brane model of a double monolayer Dirac semimetal in a magnetic field and in the presence of a nonzero temperature. Intra-and inter-layer exciton condensates can form by varying the balanced charge density on the layers, the spatial separation and the temperature. Constant temperature phase diagrams for a wide range of layer separations and charge densities are found. The presence of a finite temperature makes the phase diagrams extremely rich and in particular leads to the appearance of a symmetric phase which was missing at zero temperature.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S.K. Banerjee, L. Register, E. Tutuc, D. Reddy and A. MacDonald, Bilayer pseudospin field-effect transistor (bisfet): A proposed new logic device, IEEE Electr. Device Lett. 30 (2009) 158.
A.A. High, E.E. Novitskaya, L.V. Butov, M. Hanson and A.C. Gossard, Control of exciton fluxes in an excitonic integrated circuit, Science 321 (2008) 229.
D. Ballarini et al., All-optical polariton transistor, Nature Commun. 4 (2013) 1778 [arXiv:1201.4071].
Y.Y. Kuznetsova et al., All-optical excitonic transistor, Opt. Lett. 35 (2010) 1587.
F. Dolcini, D. Rainis, F. Taddei, M. Polini, R. Fazio and A.H. MacDonald, Blockade and counterflow supercurrent in exciton-condensate josephson junctions, Phys. Rev. Lett. 104 (2010) 027004.
S. Peotta et al., Josephson current in a four-terminal superconductor/exciton-condensate/superconductor system, Phys. Rev. B 84 (2011) 184528.
A. Gamucci et al., Electron-hole pairing in graphene-GaAs heterostructures, Nature Commun. 5 (2014) 5824 [arXiv:1401.0902] [INSPIRE].
Y.E. Lozovik and A.A. Sokolik, Electron-hole pair condensation in a graphene bilayer, Sov. J. Exp. Theor. Phys. Lett. 87 (2008) 55 [arXiv:0812.4840].
R.V. Gorbachev et al., Strong Coulomb drag and broken symmetry in double-layer graphene, Nature Phys. 8 (2012) 896 [arXiv:1206.6626].
S. Kim, I. Jo, J. Nah, Z. Yao, S.K. Banerjee and E. Tutuc, Coulomb drag of massless fermions in graphene, Phys. Rev. B 83 (2011) 161401 [arXiv:1010.2113].
D. Nandi, A.D.K. Finck, J.P. Eisenstein, L.N. Pfeiffer and K.W. West, Exciton condensation and perfect Coulomb drag, Nature 488 (2012) 481 [arXiv:1203.3208].
C.-H. Zhang and Y.N. Joglekar, Excitonic condensation of massless fermions in graphene bilayers, Phys. Rev. B 77 (2008) 233405 [arXiv:0803.3451].
G.W. Semenoff, Condensed Matter Simulation of a Three-dimensional Anomaly, Phys. Rev. Lett. 53 (1984) 2449 [INSPIRE].
G. Grignani, N. Kim, A. Marini and G.W. Semenoff, Holographic D3-probe-D5 Model of a Double Layer Dirac Semimetal, JHEP 12 (2014) 091 [arXiv:1410.4911] [INSPIRE].
G. Grignani, T. Harmark, A. Marini, N.A. Obers and M. Orselli, Heating up the BIon, JHEP 06 (2011) 058 [arXiv:1012.1494] [INSPIRE].
G. Grignani, T. Harmark, A. Marini, N.A. Obers and M. Orselli, Thermodynamics of the hot BIon, Nucl. Phys. B 851 (2011) 462 [arXiv:1101.1297] [INSPIRE].
R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, Essentials of Blackfold Dynamics, JHEP 03 (2010) 063 [arXiv:0910.1601] [INSPIRE].
N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Phase diagram of the D3/D5 system in a magnetic field and a BKT transition, Phys. Lett. B 698 (2011) 91 [arXiv:1003.2694] [INSPIRE].
C. Kristjansen and G.W. Semenoff, Giant D5 Brane Holographic Hall State, JHEP 06 (2013) 048 [arXiv:1212.5609] [INSPIRE].
C. Kristjansen, R. Pourhasan and G.W. Semenoff, A Holographic Quantum Hall Ferromagnet, JHEP 02 (2014) 097 [arXiv:1311.6999] [INSPIRE].
A. Karch and L. Randall, Open and closed string interpretation of SUSY CFT’s on branes with boundaries, JHEP 06 (2001) 063 [hep-th/0105132] [INSPIRE].
A. Karch and L. Randall, Locally localized gravity, JHEP 05 (2001) 008 [hep-th/0011156] [INSPIRE].
O. DeWolfe, D.Z. Freedman and H. Ooguri, Holography and defect conformal field theories, Phys. Rev. D 66 (2002) 025009 [hep-th/0111135] [INSPIRE].
J. Erdmenger, Z. Guralnik and I. Kirsch, Four-dimensional superconformal theories with interacting boundaries or defects, Phys. Rev. D 66 (2002) 025020 [hep-th/0203020] [INSPIRE].
V.G. Filev, C.V. Johnson and J.P. Shock, Universal Holographic Chiral Dynamics in an External Magnetic Field, JHEP 08 (2009) 013 [arXiv:0903.5345] [INSPIRE].
S. Kobayashi, D. Mateos, S. Matsuura, R.C. Myers and R.M. Thomson, Holographic phase transitions at finite baryon density, JHEP 02 (2007) 016 [hep-th/0611099] [INSPIRE].
K. Jensen, A. Karch, D.T. Son and E.G. Thompson, Holographic Berezinskii-Kosterlitz-Thouless Transitions, Phys. Rev. Lett. 105 (2010) 041601 [arXiv:1002.3159] [INSPIRE].
N. Evans and K.-Y. Kim, Vacuum alignment and phase structure of holographic bi-layers, Phys. Lett. B 728 (2014) 658 [arXiv:1311.0149] [INSPIRE].
G. Grignani, A. Marini, N. Kim and G.W. Semenoff, Exciton Condensation in a Holographic Double Monolayer Semimetal, Phys. Lett. B 750 (2015) 22 [arXiv:1410.3093] [INSPIRE].
G. Grignani, N. Kim and G.W. Semenoff, D7-anti-D7 bilayer: holographic dynamical symmetry breaking, Phys. Lett. B 722 (2013) 360 [arXiv:1208.0867] [INSPIRE].
V.G. Filev, M. Ihl and D. Zoakos, A Novel (2 + 1)-Dimensional Model of Chiral Symmetry Breaking, JHEP 12 (2013) 072 [arXiv:1310.1222] [INSPIRE].
V.G. Filev, M. Ihl and D. Zoakos, Holographic Bilayer/Monolayer Phase Transitions, JHEP 07 (2014) 043 [arXiv:1404.3159] [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1603.02583
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Grignani, G., Marini, A., Pigna, AC. et al. Phase structure of a holographic double monolayer Dirac semimetal. J. High Energ. Phys. 2016, 141 (2016). https://doi.org/10.1007/JHEP06(2016)141
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2016)141