Magnetization plateau and quantum phase transition of theS= ½ trimerizedXXZspin chain

DOI10.1088/0305-4470/32/25/304zbMATH Open0961.82004arXivcond-mat/9809138OpenAlexW2014189373MaRDI QIDQ4947619

Atsuhiro Kitazawa, Kiyomi Okamoto

Publication date: 25 April 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: We study the plateau of the magnetization curve at $M=M_{ms}/3$ ($M_{ms}$ is the saturation magnetization) of the $S=1/2$ trimerized $XXZ$ spin chain. By examining the level crossing of low-lying excitations obtained from the numerical diagonalization, we precisely determine the phase boundary between the plateau state and the no-plateau state on the $Delta-t$ plane, where $Delta$ denotes the $XXZ$ anisotropy and $t$ the magnitude of the trimerization. This quantum phase transition is of the Berezinskii-Kosterlitz-Thouless type.

Full work available at URL: https://arxiv.org/abs/cond-mat/9809138

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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