Title variants
Languages of publication
Abstracts
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.
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
Journal
Year
Volume
Issue
Pages
162-164
Physical description
Dates
published
2009-01
Contributors
author
- M. Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, PL-30-059 Kraków, Poland
author
- 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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- 4. G. Khaliullin, S. Maekawa, Phys. Rev. Lett. 85, 3950 (2000)
- 5. K.I. Kugel, D.I. Khomskii, Sov. Phys. Usp. 25, 231 (1982)
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- 7. L. Longa, A.M. Oleś, J. Phys. A 13, 1031 (1980)
- 8. W. Brzezicki, J. Dziarmaga, A.M. Oleś, Phys. Rev. B 75, 134415 (2007)
- 9. J.H.H. Perk, H.W. Campel, G.R.W. Quispel, F.W. Nijhoff, Physica A 1231 (1984)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv115n1041kz