English

Exact spin-orbital separation in a solvable model in one dimension

Strongly Correlated Electrons 2013-05-13 v3

Abstract

A one-dimensional model of coupled spin-1/2 spins and pseudospin-1/2 orbitals with nearest-neighbor interaction is rigorously shown to exhibit spin-orbital separation by means of a non-local unitary transformation. On an open chain, this transformation completely decouples the spins from the orbitals in such a way that the spins become paramagnetic while the orbitals form the soluble XXZ Heisenberg model. The nature of various correlations is discussed. The more general cases, which allow spin-orbital separation by the same method, are pointed out. A generalization for the orbital pseudospin greater than 1/2 is also discussed. Some qualitative connections are drawn with the recently observed spin-orbital separation in Sr2CuO3.

Keywords

Cite

@article{arxiv.1205.6436,
  title  = {Exact spin-orbital separation in a solvable model in one dimension},
  author = {Brijesh Kumar},
  journal= {arXiv preprint arXiv:1205.6436},
  year   = {2013}
}

Comments

5 pages

R2 v1 2026-06-21T21:11:02.679Z