Paul Fendley and Jesper L Jacobsen 2008 J. Phys. A: Math. Theor. 41 215001 doi:10.1088/1751-8113/41/21/215001
Critical points in coupled Potts models and critical phases in coupled loop models
Paul Fendley1,2 and Jesper L Jacobsen3,4
Show affiliationsWe show how to couple two critical Q-state Potts models to yield a new self-dual critical point. We also present strong evidence of a dense critical phase near this critical point when the Potts models are defined in their completely packed loop representations. In the continuum limit, the new critical point is described by an SU(2) coset conformal field theory, while in this limit of the critical phase, the two loop models decouple. Using a combination of exact results and numerics, we also obtain the phase diagram in the presence of vacancies. We generalize these results to coupling two Potts models at different Q.
- PACS
-
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
11.25.Hf Conformal field theory, algebraic structures
11.30.Ly Other internal and higher symmetries
- MSC
-
81T17 Renormalization group methods
82B30 Statistical thermodynamics (See also 80-XX)
82B28 Renormalization group methods (See also 81T17)
81T40 Two-dimensional field theories, conformal field theories, etc.
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
-
Issue 21 (30 May 2008)
Received 19 March 2008
Published 6 May 2008
-
Critical points in coupled Potts models and critical phases in coupled loop models
Paul Fendley and Jesper L Jacobsen 2008 J. Phys. A: Math. Theor. 41 215001
-
Temperature effects on electrical transport in semiconducting nanoporous carbon nanowires
B A Samuel et al 2008 Nanotechnology 19 275702
-
The electronic band structure of CoS2
Ning Wu et al 2007 J. Phys.: Condens. Matter 19 156224
-
The structure of the CoS2 (100)-(1 × 1) surface
Z X Yu et al 2007 J. Phys.: Condens. Matter 19 156223
-
Generation of a Super Strong Attosecond Pulse from an Atomic Superposition State Irradiated by a Shape-Optimized Short Pulse
Guo Fu-Ming et al 2009 Chinese Phys. Lett. 26 113203
-
Commentary on the temperature-dependent viscosity of supercooled liquids: a unified activation scenario
Akihiro Kushima et al 2009 J. Phys.: Condens. Matter 21 504104
-
A study of proton-induced spallation reactions by the improved quantum molecular dynamics model plus statistical decay models
Li Ou et al 2009 J. Phys. G: Nucl. Part. Phys. 36 125104
-
Quantum deformations of the one-dimensional Hubbard model
Niklas Beisert and Peter Koroteev 2008 J. Phys. A: Math. Theor. 41 255204
-
Experimental single-impulse magnetic focusing of launched cold atoms
David A Smith et al 2008 J. Phys. B: At. Mol. Opt. Phys. 41 125302
-
Nanostructures in high-performance (GeTe)x(AgSbTe2)100−x thermoelectric materials
S H Yang et al 2008 Nanotechnology 19 245707
Users also read
What's this?- One-dimensional anyons with competing δ-function and derivative δ-function potentials
- Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies
- Hannay angle and geometric phase shifts under adiabatic parameter changes in classical dissipative systems
-symmetric models of scatteringRelated review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- The effective temperature
- Unconventional phase transitions in a constrained single polymer chain