Boundary contributions to specific heat and susceptibility in the spin-12 XXZchain

2003/10/31 by Akira Furusaki, A. Furusaki, Takashi Hikihara +1 · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.69.094429

published as Phys. Rev. B 69, 094429 (2004) · 6 pages, 3 figures; corrected typos

openalex publication_date 2004/03/24 · arxiv created 2004/09/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Exact low-temperature asymptotic behavior of boundary contribution to specific heat and susceptibility in the one-dimensional spin-(1)/(2) XXZ model with exchange anisotropy 1/2<\ensuremathΔ<~1 is analytically obtained using the Abelian bosonization method. The boundary spin susceptibility is divergent in the low-temperature limit. This singular behavior is caused by the first-order contribution of a bulk leading irrelevant operator to boundary free energy. The result is confirmed by numerical simulations of finite-size systems. The anomalous boundary contributions in the spin isotropic case are universal.

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