Splitting of electrons and violation of the Luttinger sum rule

Article

关键词: HIGH-TEMPERATURE SUPERCONDUCTORS;    NARROW ENERGY-BANDS;    MEAN-FIELD-THEORY;    NORMAL-STATE;    DIAGRAM TECHNIQUE;    FERMI-SURFACE;    HUBBARD;    INSULATOR;    PSEUDOGAP;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.97.115134

来源: SCIE

【 摘 要 】

We obtain a controlled description of a strongly correlated regime of electronic behavior. We begin by arguing that there are two ways to characterize the electronic degree of freedom, either by the canonical fermion algebra or the graded Lie algebra su(2 vertical bar 2). The first underlies the Fermi liquid description of correlated matter, and we identify a regime governed by the latter. We exploit an exceptional central extension of su(2 vertical bar 2) to employ a perturbative scheme recently developed by Shastry and obtain a series of successive approximations for the electronic Green's function. We then focus on the leading approximation, which reveals a splitting in two of the electronic dispersion. The Luttinger sum rule is violated, and a Mott metal-insulator transition is exhibited. We offer a perspective.

【 授权许可】

Free