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

2001/07/18 by Weimin Zhang, Wei-Min Zhang, Zhang, Wei-Min
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0107389

RevTex, 4page, no figure

arxiv created 2001/07/18 · openalex publication_date 2001/07/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In 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√d+T_Λ\over 2SJ and c_s=2JSa √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.

Citations

• Techniques and Applications of Path Integration

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