Quantum Phase Transition in the One-Dimensional XZ Model

• Authors: W. Brzezicki , A. Oleś
• Languages of publication: EN

Abstracts

EN

We introduce a one-dimensional XZ model with alternating σ_i^zσ_{i+1}^z and σ_i^xσ_{i+1}^x interactions on even/odd bonds, interpolating between the Ising model and the quantum compass model. We present two ways of its exact solution by: (i) mapping to the quantum Ising models, and (ii) using fermions with spin 1/2. In certain cases the nearest neighbor pseudospin correlations change discontinuously at the quantum phase transition, where one finds highly degenerate ground state of the 1D compass model.

Keywords

EN

75.10.Jm; 03.67.-a; 05.70.Fh

Discipline

• 03.67.-a: Quantum information(see also 42.50.Dv Quantum state engineering and measurements; 42.50.Ex Optical implementations of quantum information processing and transfer in quantum optics)
• 05.70.Fh: Phase transitions: general studies(see also 05.30.Rt Quantum phase transitions in quantum statistical mechanics; 64.70.Tg Quantum phase transitions in specific phase transitions; 73.43.Nq Quantum phase transitions in quantum Hall effects; for superconductivity phase diagrams, see 74.25.Dw; for magnetic phase boundaries, see 75.30.Kz; for ferroelectric phase transitions, see 77.80.B-)
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 1
• Pages: 162-164

Dates

published

2009-01

Contributors

author

W. Brzezicki

• M. Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, PL-30-059 Kraków, Poland

author

A. Oleś

• M. Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, PL-30-059 Kraków, Poland
• Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany

References

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Identifiers

DOI

10.12693/APhysPolA.115.162