Spectral functions in a two-velocities Tomonaga-Luttinger Liquid

Edmond Orignac (1) , Masahisa Tsuchiizu (2) , Yoshikazu Suzumura (2)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
2 Condensed Matter Theory Group, Physics Department

We obtain the spectral functions of a two-velocities Tomonaga-Luttinger liquid at T = 0K in terms of the Appell hypergeometric functions F1 and F2. In the case of SU(N) spin symmetry, the spectral functions can be expressed with the Gauss hypergeometric functions. We discuss the singularities and thresholds of the spectral functions for both the SU(N) invariant case and the general case.

Domains: Physics [physics]; Condensed Matter [cond-mat]; Strongly Correlated Electrons [cond-mat.str-el]

Edmond Orignac, Masahisa Tsuchiizu, Yoshikazu Suzumura. Spectral functions in a two-velocities Tomonaga-Luttinger Liquid. International Conference on Strongly Correlated Electron Systems (SCES 2011), P B Littlewood, G G Lonzarich, S S Saxena, M L Sutherland, S E Sebastian, E Artacho, F M Grosche and Z Hadzibabic, Aug 2011, Cambridge, United Kingdom. pp.012163, ⟨10.1088/1742-6596/391/1/012163⟩. ⟨ensl-00772353⟩