Massive spinons inS=1/2spin chains: Spinon-pair operator representation

2016/12/31 by Mohsen Hafez-Torbati, Götz S. Uhrig · 6 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Algorithm #Computer science #Condensed matter physics #Magnetic and transport properties of perovskites and related materials #Physics #Physics of Superconductivity and Magnetism #Spinon #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.95.155136

published in Physical review. B./Physical review. B 95(15) (American Physical Society) · 19 pages

openalex created_date 2017/01/06 · openalex publication_date 2017/04/21 · arxiv created 2017/05/28 · arxiv updated 2017/05/30 · openalex updated_date 2026/08/05

Abstract

Spinons are among the generic excitations in one-dimensional spin systems; they can be massless or massive. The quantitative description of massive spinons poses a considerable challenge in spite of various variational approaches. We show that a representation in terms of hopping and Bogoliubov spinon processes, which we call ``spinon-pair'' operators, and their combination is possible. We refer to such a representation as second quantized form. Neglecting terms which change the number of spinons yields the variational results. Treating the bilinear and quartic terms by continuous unitary transformations leads to considerably improved results. Thus, we provide the proof of principle that systems displaying massive spinons as elementary excitations can be treated in second quantization based on spinon-pair representation.

Citations

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