EXACT RESULTS ON THE 2-DIMENSIONAL HEISENBERG SPIN-1 2 PROBLEM/

Authors
ELOUT MO MAASKANT WJA
Citation
Mo. Elout et Wja. Maaskant, EXACT RESULTS ON THE 2-DIMENSIONAL HEISENBERG SPIN-1 2 PROBLEM/, Physical review. B, Condensed matter, 49(9), 1994, pp. 6040-6051
Citations number
25
Categorie Soggetti
Physics, Condensed Matter
Journal title
Physical review. B, Condensed matter → ACNP
ISSN journal
01631829
Volume
49
Issue
9
Year of publication
1994
Pages
6040 - 6051
Database
ISI
SICI code
0163-1829(1994)49:9<6040:EROT2H>2.0.ZU;2-4
Abstract
In this paper the two-dimensional Heisenberg model is considered, with a possible anisotropy in the Heisenberg interaction in the 1 directio n. Helical boundary conditions are introduced and an exact mapping of the two-dimensional lattice to a one-dimensional lattice is given. Thi s mapping allows for a determination of the form of the wave function for 1 and 2 reversed spins. For this latter nontrivial case, the quant ization condition is also derived.