Duality between zeroes and poles in holographic systems with massless fermions and a dipole coupling

作者:Alsup James*; Papantonopoulos Eleftherios; Siopsis George; Yeter Kubra
来源:Physical Review D - Particles, Fields, Gravitation and Cosmology, 2014, 90(12): 126013.
DOI:10.1103/PhysRevD.90.126013

摘要

We discuss the zeroes and poles of the determinant of the retarded Green det G(R)) at zero frequency in a holographic system of charged massless fermions interacting via a dipole coupling. For large negative values of the dipole coupling constant p, det G(R) possesses only poles pointing to a Fermi liquid phase. We show that a duality exists relating systems of opposite p. This maps poles of det G(R) at large negative p to zeroes of det G(R) at large positive p, indicating that the latter corresponds to a Mott insulator phase. This duality suggests that the properties of a Mott insulator can be studied by mapping the system to a Fermi liquid. Finally, for small values of p, det G(R) contains both poles and zeroes (pseudogap phase).

  • 出版日期2014-12-30