REPRESENTATION OF THE T-J MODEL VIA SPIN-CHARGE VARIABLES

Citation
E. Kochetov et V. Yarunin, REPRESENTATION OF THE T-J MODEL VIA SPIN-CHARGE VARIABLES, Physical review. B, Condensed matter, 56(5), 1997, pp. 2703-2711
Citations number
30
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
56
Issue
5
Year of publication
1997
Pages
2703 - 2711
Database
ISI
SICI code
0163-1829(1997)56:5<2703:ROTTMV>2.0.ZU;2-1
Abstract
We show that the t-J Hamiltonian is not in general reduced to Ht-J = H ((S) over right arrow,f), where (S) over right arrow and f stand for i ndependent ([(S) over right arrow,f] = 0) SU(2) (spin) generators and spinless fermionic (holon) fields, respectively. The proof is based up on an identification of the Hubbard operators with the generators of t he su(2\1) superalgebra in the degenerate fundamental representation a nd ensuing SU(2\1) path-integral representation of the partition funct ion Z(t-J).