2002/01/29 by A. Sherman, Michael Schreiber, M. Schreiber · 4 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.65.134520
14 pages, 3 figures, submitted to Phys. Rev. B
arxiv created 2002/01/29 · openalex publication_date 2002/03/26 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Using the description in terms of the Hubbard operators hole and spin Green's functions of the two-dimensional t\ensuremath-J model are calculated in an approximation that retains the rotation symmetry of the spin susceptibility in the paramagnetic state and has no predefined magnetic ordering. In this approximation, Green's functions are represented by continued fractions that are interrupted with the help of the decoupling corrected by the constraint of zero site magnetization in the paramagnetic state. Results obtained in this approach for an undoped 32\ifmmode×\else\texttimes\fi32 lattice (the Heisenberg model) and for one hole in a 4\ifmmode×\else\texttimes\fi4 lattice are in good agreement with Monte Carlo and exact-diagonalization data, respectively. In the limit of heavy doping the hole spectrum described by the obtained formulas acquires features of the spectrum of weakly correlated excitations.