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 th...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.展开更多
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)+3 种基金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)
文摘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.
