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Title: Dynamical gap and cupratelike physics from holography

Abstract

We study the properties of fermion correlators in a boundary theory dual to the Reissner-Nordstroem AdS{sub d+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 VO{sub 2}. 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. Notmore » 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.« less

Authors:
; ; ;  [1]
  1. Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801 (United States)
Publication Date:
OSTI Identifier:
21513112
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.83.046012; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; COUPLING; CRITICAL TEMPERATURE; CUPRATES; DIPOLES; FERMI GAS; FERMIONS; INSTABILITY; INTERACTIONS; PHASE DIAGRAMS; STRONG-COUPLING MODEL; VANADIUM OXIDES; CHALCOGENIDES; COPPER COMPOUNDS; DIAGRAMS; INFORMATION; MATHEMATICAL MODELS; MATHEMATICAL SPACE; MULTIPOLES; OXIDES; OXYGEN COMPOUNDS; PARTICLE MODELS; PHYSICAL PROPERTIES; SPACE; THERMODYNAMIC PROPERTIES; TRANSITION ELEMENT COMPOUNDS; TRANSITION TEMPERATURE; VANADIUM COMPOUNDS

Citation Formats

Edalati, Mohammad, Leigh, Robert G., Lo, Ka Wai, and Phillips, Philip W. Dynamical gap and cupratelike physics from holography. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.046012.
Edalati, Mohammad, Leigh, Robert G., Lo, Ka Wai, & Phillips, Philip W. Dynamical gap and cupratelike physics from holography. United States. doi:10.1103/PHYSREVD.83.046012.
Edalati, Mohammad, Leigh, Robert G., Lo, Ka Wai, and Phillips, Philip W. Tue . "Dynamical gap and cupratelike physics from holography". United States. doi:10.1103/PHYSREVD.83.046012.
@article{osti_21513112,
title = {Dynamical gap and cupratelike physics from holography},
author = {Edalati, Mohammad and Leigh, Robert G. and Lo, Ka Wai and Phillips, Philip W.},
abstractNote = {We study the properties of fermion correlators in a boundary theory dual to the Reissner-Nordstroem AdS{sub d+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 VO{sub 2}. 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.},
doi = {10.1103/PHYSREVD.83.046012},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 83,
place = {United States},
year = {2011},
month = {2}
}