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Quantum Simulation

Vector Chiral Phases in the Frustrated 2D XY Model and Quantum Spin Chains

arXiv
Authors: H. Schenck, V. L. Pokrovsky, T. Nattermann

Year

2013

Paper ID

33366

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

The phase diagram of the frustrated 2D classical and 1D quantum XY models is calculated analytically. Four transitions are found: the vortex unbinding transitions triggered by strong fluctuations occur above and below the chiral transition temperature. Vortex interaction is short range on small and logarithmic on large scales. The chiral transition, though belonging to the Ising universality class by symmetry, has different critical exponents due to nonlocal interaction. In a narrow region close to the Lifshitz point a reentrant phase transition between paramagnetic and quasiferromagnetic phase appears. Applications to antiferromagnetic quantum spin chains and multiferroics are discussed.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • The phase diagram of the frustrated 2D classical and 1D quantum XY models is calculated analytically.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1308.0823 [2] arXiv https://arxiv.org/abs/1308.0823 [3] Publisher https://arxiv.org/abs/1308.0823

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