摘要
We investigate the properties of the spectral function of the fermionic operator in the field theory which is dual to a 4-dimensional massive gravity. We first study the Fermi surface and the dispersion relation in the dual boundary theory. We find that as the massive parameters is decreased, the Fermi momentum becomes lower and the low energy excitation near Fermi surface behaves more like non-Fermi liquid. Then, we introduce a dipole coupling in the bulk theory and explore the emergence of a gap in the fermionic spectral function. It is found that larger critical dipole coupling is needed to open the gap than that in Einstein gravity. Accordingly,in the field theory dual to massive gravity, it requires stronger negative dipole coupling to generate the marginal Fermi liquid.
We investigate the properties of the spectral function of the fermionic operator in the field theory which is dual to a 4-dimensional massive gravity. We first study the Fermi surface and the dispersion relation in the dual boundary theory. We find that as the massive parameters is decreased, the Fermi momentum becomes lower and the low energy excitation near Fermi surface behaves more like non-Fermi liquid. Then, we introduce a dipole coupling in the bulk theory and explore the emergence of a gap in the fermionic spectral function. It is found that larger critical dipole coupling is needed to open the gap than that in Einstein gravity. Accordingly,in the field theory dual to massive gravity, it requires stronger negative dipole coupling to generate the marginal Fermi liquid.
作者
Li-Qing Fang
Xiao-Mei Kuang
Jian-Pin Wu
Li-Qing Fang;Xiao-Mei Kuang;Jian-Pin Wu(School of Physics and Electronic Information,Shangrao Normal University,Shangrao 334000,China;Department of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China;Shanghai Key Laboratory of High Temperature Superconductors,Shanghai 200444,China;Instituto de Fisica,Pontificia Universidad Catolica de Valparaiso,Casilla 4059,Valparaiso,Chile;Institute of Gravitation and Cosmology,Department of Physics,School of Mathematics and Physics,Bohai University,Jinzhou 121013,China)
基金
L.Q.Fang was supported by the National Natural Science Foundation of China(Grant No.11505116)
the China Postdoctoral Science Foundation(Grant No.2015M571551)
X.M.Kuang was supported by the Chilean FONDECYT(Grant No.3150006)
J.P.Wu was supported by the National Natural Science Foundation of China(Grant Nos.11275208 and 11305018)
the Program for Liaoning Excellent Talents in University(Grant No.LJQ2014123)
L.Q.Fang and J.P.Wu were also supported by the grant from the Opening Project of Shanghai Key Laboratory of High Temperature Superconductors(Grant No.14DZ2260700)
