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Number of results
2009 | 115 | 1 | 162-164
Article title

Quantum Phase Transition in the One-Dimensional XZ Model

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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
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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  • 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
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