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An exactly solvable model for metal-insulator phase transition

Author

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  • Brankov, J.G.
  • Tonchev, N.S.
  • Zagrebnov, V.A.

Abstract

A simple model of electrons interacting with photons which displays a metal-insulator phase transition in the case of s.c. and b.c.c. tight-binding bands is studied. A proof is given that the model is exactly solvable in the thermodynamic limit.

Suggested Citation

  • Brankov, J.G. & Tonchev, N.S. & Zagrebnov, V.A., 1975. "An exactly solvable model for metal-insulator phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(1), pages 125-127.
    • Handle: RePEc:eee:phsmap:v:79:y:1975:i:1:p:125-127
    DOI: 10.1016/0378-4371(75)90094-1
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    Citations

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    Cited by:

    1. den Ouden, L.W.J. & Capel, H.W. & Perk, J.H.H. & Tindemans, P.A.J., 1976. "Systems with separable many-particle interactions. I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(1), pages 51-70.
    2. Klemm, A. & Zagrebnov, V.A., 1977. "A compressible Dicke model (exact solution)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(2), pages 400-416.
    3. Capel, H.W. & Den Ouden, L.W.J. & Perk, J.H.H., 1979. "Stability of critical behaviour, critical-exponent renormalization and first-order transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(3), pages 371-416.
    4. Perk, J.H.H. & Capel, H.W. & den Ouden, L.W.J., 1977. "Convex-envelope formulation for separable many-particle interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(3), pages 555-568.
    5. Brankov, J.G. & Tonchev, N.S., 1976. "On the relation between two models for superconductors with a structural distortion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 534-538.
    6. Bogolubov, N.N. & Plechko, V.N., 1975. "A class of exactly soluble many-body Hamiltonians with the interaction of substance and boson field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(2), pages 163-194.
    7. Gandolfo, D. & Tonchev, N.S. & Verbeure, A. & Zagrebnov, V.A., 1996. "Quantum fluctuations at metal-insulator transitions of doped systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 301-313.

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