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  4. Spontaneous trimerization in a bilinear-biquadratic S=1 zig-zag chain
 
research article

Spontaneous trimerization in a bilinear-biquadratic S=1 zig-zag chain

Corboz, Philippe
•
Laeuchli, Andreas M.
•
Totsuka, Keisuke
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2007
Physical Review B

Recent theoretical studies raised the possibility of a realization of spin nematic states in the S = 1 triangular lattice compound NiGa2S4. We study the bilinear-biquadratic spin 1 chain in a zig-zag geometry by means of the density matrix renormalization group method and exact diagonalization. We present the phase diagram focusing on antiferromagnetic interactions. Adjacent to the known Haldane-double Haldane and the extended critical phase with dominant spin nematic correlations we find a trimerized phase with a nonvanishing energy gap. We discuss results for different order parameters, energy gaps, correlation functions, and the central charge, and make connection to field theoretical predictions for the phase diagram.

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Type
research article
DOI
10.1103/PhysRevB.76.220404
Web of Science ID

WOS:000251986400005

Author(s)
Corboz, Philippe
Laeuchli, Andreas M.
Totsuka, Keisuke
Tsunetsugu, Hirokazu
Date Issued

2007

Published in
Physical Review B
Volume

76

Article Number

220404

Subjects

Matrix Renormalization-Group

•

Spin-1 Chain

•

Haldane Phase

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
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Available on Infoscience
July 4, 2012
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/83386
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