Violation of Luttinger's Theorem in the Two-Dimensional <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">t</mi></math></span>- <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">J</mi></math></span> Model

W. O. Putikka; M. U. Luchini; R. R. P. Singh

doi:10.1103/PhysRevLett.81.2966

Violation of Luttinger's Theorem in the Two-Dimensional $t$ - $J$ Model

W. O. Putikka, M. U. Luchini, and R. R. P. Singh

Phys. Rev. Lett. 81, 2966 – Published 5 October 1998

Abstract

We have calculated the high temperature series for the momentum distribution function $n_{k}$ of the 2D $t - J$ model to twelfth order in inverse temperature. By extrapolating the series to $T = 0.2 J$ we searched for a Fermi surface of the 2D $t - J$ model. We find that three criteria used for estimating the location of a Fermi surface violate Luttinger's theorem, implying that the $t - J$ model does not have an adiabatic connection to a noninteracting model.

Received 27 March 1998

DOI:https://doi.org/10.1103/PhysRevLett.81.2966

Authors & Affiliations

W. O. Putikka^1,2, M. U. Luchini^3,4, and R. R. P. Singh^5,*,†

¹Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011
²Department of Physics, The Ohio State University, Mansfield, Ohio 44906
³Laboratoire de Physique Quantique, Universite Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse Cedex 4, France
⁴Department of Mathematics, Imperial College, London SW7 2BZ, United Kingdom
⁵Department of Physics, University of California, Davis, California 95616