Y Ikhlef et al 2009 J. Phys. A: Math. Theor. 42 292002 doi:10.1088/1751-8113/42/29/292002
Y Ikhlef1, J L Jacobsen2 and H Saleur3,4
Show affiliationsWe study the phase diagram of a quantum chain of spin-1/2 particles whose world lines form a dense loop gas with loop weight n. In addition to the usual two-site interaction corresponding to the XXZ spin chain, we introduce a three-site interaction. The resulting model contains a Majumdar–Ghosh-like gapped phase and a new integrable point, which we solve exactly. We also locate a critical line realizing dilute O(n) criticality, without introducing explicit dilution in the loops. Our results have implications for anisotropic spin chains, as well as anyonic quantum chains.
75.10.Jm Quantized spin models
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Quantum gases, liquids and solids
Condensed matter: electrical, magnetic and optical
Issue 29 (24 July 2009)
Received 8 June 2009
Published 6 July 2009
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