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  4. Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
 
research article

Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field

Manmana, Salvatore R.
•
Laeuchli, Andreas M.
•
Essler, Fabian H. L.
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2011
Physical Review B

We investigate the properties of the Heisenberg S = 1 chain with bilinear and biquadratic interactions in a magnetic field using the density-matrix renormalization-group, Bethe ansatz, and field-theoretical considerations. In a large region of the parameter space, we identify a magnetized ferroquadrupolar Luttinger liquid consisting of a quasicondensate of bound magnon pairs. This liquid undergoes a continuous pair-unbinding transition to a more conventional Luttinger liquid region obtained by polarizing the system above the Haldane gap region. This pair-unbinding transition is shown to be in the Ising universality class on top of a Luttinger liquid, leading to an effective central charge 3/2. We also revisit the nature of the partially polarized Luttinger liquid around and above the Uimin-Lai-Sutherland point. Our results confirm that this is a two-component liquid and rule out the formation of a single-component vector-chiral phase.

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Type
research article
DOI
10.1103/PhysRevB.83.184433
Web of Science ID

WOS:000291088800009

Author(s)
Manmana, Salvatore R.
Laeuchli, Andreas M.
Essler, Fabian H. L.
Mila, Frederic  
Date Issued

2011

Published in
Physical Review B
Volume

83

Article Number

184433

Subjects

Dimensional Hubbard-Model

•

Quantum Spin Chains

•

Sine-Gordon Model

•

Arbitrary Spins

•

Operator Content

•

Ground-State

•

Density

•

Antiferromagnets

•

Atoms

•

Excitations

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CTMC  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/74050
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