Quantum Heisenberg Antiferromagnets versus Nonlinear $σ$ Model Without the Large S Limit

Simple item page
dc.creatorZhang, Wei-Min
dc.date2001-07-18
dc.date.accessioned2026-07-07T02:42:13Z
dc.date.available2026-07-07T02:42:13Z
dc.descriptionIn this letter, I develop a new topologically invariant coherent state path integral for spin systems, and apply it to the quantum Heisenberg model on a square lattice. As a result, the quantum nonlinear $σ$ model for arbitrary values of spin can be directly obtained. The effective coupling constant and spin wave velocity are modified by $g_s= {2\over S}\sqrt{d+{T_Λ\over 2SJ}}$ and $c_s=2JSa \sqrt{d+{T_Λ\over 2SJ}}$, where $T_Λ$ is a natural temperature scale for the reliability of the theory. The formulation can also be extended to other generalized coherent state path integrals.
dc.descriptionRevTex, 4page, no figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0107389
dc.identifierhttp://arxiv.org/abs/cond-mat/0107389
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18048
dc.subjectStrongly Correlated Electrons
dc.titleQuantum Heisenberg Antiferromagnets versus Nonlinear $σ$ Model Without the Large S Limit
dc.typetext

Files

Collections

arXiv