Equivalence of the dimer resonating-valence-bond problem to the quantum roughening problem

Phys. Rev. Lett. 64, 92 – Published 1 January 1990
L. S. Levitov


A geometric mapping of dimers on a square lattice onto surfaces of a 3D crystal is constructed. The mapping transforms the dimer-RVB (resonating valence bond) problem to the quantum roughening problem: Low-energy excitations correspond to the crystal surface fluctuations; holes are represented by screw dislocations. A phase diagram is discussed and the existence of a quantum-liquid state with gapless excitations is demonstrated using the results obtained previously for the roughening problem.

DOI: http://dx.doi.org/10.1103/PhysRevLett.64.92

  • Received 16 October 1989
  • Published in the issue dated 1 January 1990

© 1990 The American Physical Society

Authors & Affiliations

L. S. Levitov

  • Lev Davidovich Landau Institute for Theoretical Physics, GSP-1, u?lica Kosygina-2, Moscow, 117 940, Union of Soviet Socialist Republics

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