INVESTIGADORES
LAMAS Carlos Alberto
artículos
Título:
Statistical transmutation in doped quantum dimer models
Autor/es:
C. A. LAMAS; A. RALKO; D. C. CABRA; D. POILBLANC; P. PUJOL
Revista:
PHYSICAL REVIEW LETTERS
Editorial:
AMER PHYSICAL SOC
Referencias:
Lugar: New York; Año: 2012 vol. 0164 p. 16403 - 16408
ISSN:
0031-9007
Resumen:
We prove a statistical transmutation symmetry of doped quantum dimer
models on the square, triangular, and kagome lattices: the energy
spectrum is invariant under a simultaneous change of statistics (i.e.,
bosonic into fermionic or vice versa) of the holes and of the signs of
all the dimer resonance loops. This exact transformation enables us to
define the duality equivalence between doped quantum dimer
Hamiltonians and provides the analytic framework to analyze dynamical
statistical transmutations. We investigate numerically the doping of
the triangular quantum dimer model with special focus on the
topological Z2 dimer
liquid. Doping leads to four (instead of two for the square lattice)
inequivalent families of Hamiltonians. Competition between phase
separation, superfluidity, supersolidity, and fermionic phases is
investigated in the four families.