Abstract
We investigate a dynamically generated Mott gap from holographic fermions in asymptotical geometries with hyperscaling violation by employing a bulk dipole coupling for fermions. We find that when the coupling strength increases, the spectral function first appears at the negative frequency region but is soon transferred to the positive region. A stable gap and two bands emerge for all momentums when the coupling strength exceeds a critical value. Generally, the upper band on the positive frequency axis is much sharper than the lower band on the negative side. When the diploe coupling increases further, the gap becomes larger. The upper band keeps sharp while the lower band disperses and widens, concentrating on the small momentum space. We also find that the bands will be smoothed out gradually with the increasing of hyperscaling violation.
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References
T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces and AdS 2, Phys. Rev. D 83 (2011) 125002 [arXiv:0907.2694] [INSPIRE].
N. Iqbal, H. Liu and M. Mezei, Lectures on holographic non-Fermi liquids and quantum phase transitions, arXiv:1110.3814 [INSPIRE].
H. Liu, J. McGreevy and D. Vegh, Non-Fermi liquids from holography, Phys. Rev. D 83 (2011) 065029 [arXiv:0903.2477] [INSPIRE].
N. Iizuka, N. Kundu, P. Narayan and S.P. Trivedi, Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity, JHEP 01 (2012) 094 [arXiv:1105.1162] [INSPIRE].
H. Lü and Z.-L. Wang, Exact Green’s function and Fermi surfaces from conformal gravity, Phys. Lett. B 718 (2013) 1536 [arXiv:1210.4560] [INSPIRE].
J. Li, H.-S. Liu, H. Lü and Z.-L. Wang, Fermi surfaces and analytic Green’s functions from conformal gravity, JHEP 02 (2013) 109 [arXiv:1210.5000] [INSPIRE].
S.A. Hartnoll, D.M. Hofman and D. Vegh, Stellar spectroscopy: fermions and holographic Lifshitz criticality, JHEP 08 (2011) 096 [arXiv:1105.3197] [INSPIRE].
S.A. Hartnoll and A. Tavanfar, Electron stars for holographic metallic criticality, Phys. Rev. D 83 (2011) 046003 [arXiv:1008.2828] [INSPIRE].
S.S. Gubser and J. Ren, Analytic fermionic Green’s functions from holography, Phys. Rev. D 86 (2012) 046004 [arXiv:1204.6315] [INSPIRE].
S. Kachru, X. Liu and M. Mulligan, Gravity duals of Lifshitz-like fixed points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [INSPIRE].
M.H. Dehghani, R.B. Mann and R. Pourhasan, Charged Lifshitz black holes, Phys. Rev. D 84 (2011) 046002 [arXiv:1102.0578] [INSPIRE].
J. Tarrío and S. Vandoren, Black holes and black branes in Lifshitz spacetimes, JHEP 09 (2011) 017 [arXiv:1105.6335] [INSPIRE].
M. Taylor, Non-relativistic holography, arXiv:0812.0530 [INSPIRE].
C. Charmousis, B. Gouteraux, B.S. Kim, E. Kiritsis and R. Meyer, Effective holographic theories for low-temperature condensed matter systems, JHEP 11 (2010) 151 [arXiv:1005.4690] [INSPIRE].
B. Goutéraux and E. Kiritsis, Generalized holographic quantum criticality at finite density, JHEP 12 (2011) 036 [arXiv:1107.2116] [INSPIRE].
X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, Aspects of holography for theories with hyperscaling violation, JHEP 06 (2012) 041 [arXiv:1201.1905] [INSPIRE].
M. Edalati, J.F. Pedraza and W. Tangarife Garcia, Quantum fluctuations in holographic theories with hyperscaling violation, Phys. Rev. D 87 (2013) 046001 [arXiv:1210.6993] [INSPIRE].
S.A. Hartnoll and E. Shaghoulian, Spectral weight in holographic scaling geometries, JHEP 07 (2012) 078 [arXiv:1203.4236] [INSPIRE].
M. Edalati, R.G. Leigh and P.W. Phillips, Dynamically generated Mott gap from holography, Phys. Rev. Lett. 106 (2011) 091602 [arXiv:1010.3238] [INSPIRE].
M. Edalati, R.G. Leigh, K.W. Lo and P.W. Phillips, Dynamical gap and cuprate-like physics from holography, Phys. Rev. D 83 (2011) 046012 [arXiv:1012.3751] [INSPIRE].
J.-P. Wu and H.-B. Zeng, Dynamic gap from holographic fermions in charged dilaton black branes, JHEP 04 (2012) 068 [arXiv:1201.2485] [INSPIRE].
X.-M. Kuang, B. Wang and J.-P. Wu, Dynamical gap from holography in the charged dilaton black hole, Class. Quant. Grav. 30 (2013) 145011 [arXiv:1210.5735] [INSPIRE].
W.-J. Li and H.-b. Zhang, Holographic non-relativistic fermionic fixed point and bulk dipole coupling, JHEP 11 (2011) 018 [arXiv:1110.4559] [INSPIRE].
W.-Y. Wen and S.-Y. Wu, Dipole coupling effect of holographic fermion in charged dilatonic gravity, Phys. Lett. B 712 (2012) 266 [arXiv:1202.6539] [INSPIRE].
M. Henneaux, Boundary terms in the AdS/CFT correspondence for spinor fields, hep-th/9902137 [INSPIRE].
Z. Fan, Holographic fermions in asymptotically scaling geometries with hyperscaling violation, Phys. Rev. D 88 (2013) 026018 [arXiv:1303.6053] [INSPIRE].
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ArXiv ePrint: 1305.1151
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Fan, Z. Dynamic Mott gap from holographic fermions in geometries with hyperscaling violation. J. High Energ. Phys. 2013, 119 (2013). https://doi.org/10.1007/JHEP08(2013)119
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DOI: https://doi.org/10.1007/JHEP08(2013)119