TY - JOUR

T1 - Dynamical gap and cupratelike physics from holography

AU - Edalati, Mohammad

AU - Leigh, Robert G.

AU - Lo, Ka Wai

AU - Phillips, Philip W.

N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.

PY - 2011/2/25

Y1 - 2011/2/25

N2 - We study the properties of fermion correlators in a boundary theory dual to the Reissner-Nordström AdSd+1 background in the presence of a bulk dipole (Pauli) interaction term with strength p. We show that by simply changing the value of the parameter p we can tune continuously from a Fermi liquid (small p), to a marginal-Fermi liquid behavior at a critical value of p, to a generic non-Fermi liquid at intermediate values of p, and finally to a Mott insulator at large values of the bulk Pauli coupling. As all of these phases are seen in the cuprate phase diagram, the holographic model we study has the key elements of the strong-coupling physics typified by Mott systems. In addition, we extend our analysis to finite temperature and show that the Mott gap closes. Of particular interest is that it closes when the ratio of the gap to the critical temperature is of the order of 10. This behavior is very much similar to that observed in the classic Mott insulator VO2. We then analyze the nonanalyticities of the boundary theory fermion correlators for generic values of frequency and momentum by calculating the quasinormal modes of the bulk fermions. Not surprisingly, we find no evidence for the dipole interaction inducing an instability in the boundary theory. Finally, we briefly consider the introduction of superconducting condensates and find that, in that case, the fermion gap is driven by scalar-fermion couplings rather than by the Pauli coupling.

AB - We study the properties of fermion correlators in a boundary theory dual to the Reissner-Nordström AdSd+1 background in the presence of a bulk dipole (Pauli) interaction term with strength p. We show that by simply changing the value of the parameter p we can tune continuously from a Fermi liquid (small p), to a marginal-Fermi liquid behavior at a critical value of p, to a generic non-Fermi liquid at intermediate values of p, and finally to a Mott insulator at large values of the bulk Pauli coupling. As all of these phases are seen in the cuprate phase diagram, the holographic model we study has the key elements of the strong-coupling physics typified by Mott systems. In addition, we extend our analysis to finite temperature and show that the Mott gap closes. Of particular interest is that it closes when the ratio of the gap to the critical temperature is of the order of 10. This behavior is very much similar to that observed in the classic Mott insulator VO2. We then analyze the nonanalyticities of the boundary theory fermion correlators for generic values of frequency and momentum by calculating the quasinormal modes of the bulk fermions. Not surprisingly, we find no evidence for the dipole interaction inducing an instability in the boundary theory. Finally, we briefly consider the introduction of superconducting condensates and find that, in that case, the fermion gap is driven by scalar-fermion couplings rather than by the Pauli coupling.

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U2 - 10.1103/PhysRevD.83.046012

DO - 10.1103/PhysRevD.83.046012

M3 - Article

AN - SCOPUS:79952207147

VL - 83

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 4

M1 - 046012

ER -