NonlinearσModel for Inhomogeneous Spin Chains

1998/04/06 by K. Takano, Ken'ichi Takano · 5 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.82.5124

published as Phys. Rev. Lett. 82, 5124 (1999) · 4 pages, no figure, RevTex

arxiv created 1998/04/06 · openalex publication_date 1999/06/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We derive a nonlinear \ensuremathσ model (NLSM) that represents antiferromagnetic Heisenberg spin chains with inhomogeneous spin magnitudes and inhomogeneous nearest-neighbor exchange constants arrayed in finite periods. The only restriction is that the average spin magnitude on a sublattice is the same as that on another sublattice. The NLSM yields the gapless condition in terms of the spin magnitudes and exchange constants. We apply this condition to several cases, including systems with impurities. The result shows that the spin gap persists, despite impurities, in many cases.

Citations

• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

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• Phase diagrams of mixed-spin chains with period 4 using the nonlinearσmodel