TY - JOUR
T1 - Melting and wetting transitions in the three-state chiral clock model
AU - Huse, David A.
AU - Szpilka, Anthony M.
AU - Fisher, Michael E.
N1 - Funding Information:
We are grateful for the support of the National ScienceF oundation, in part through the Materials ScienceC enter at Cornell University. One of us (AMS) gratefullya cknowledgesth e support of an NSF predoctoralf ellowship.
PY - 1983/9
Y1 - 1983/9
N2 - The melting transition of the two-dimensional, three-state, asymmetric or chiral clock model is examined. Evidence from scaling arguments and analysis of perturbation series is presented, indicating that the chiral symmetry-breaking operator is relevant at the symmetric (or pure Potts) critical point with a crossover exponent of ø ≈ 0.2. The remainder of the commensurate-disordered phase boundary therefore appears to be in a new universality class, distinct from the pure three-state Potts transition. An interfacial wetting transition that plays an important role in the crossover between the two types of critical behavior is discussed. The location and exponents of this wetting transition are obtained both in a low-temperature limit using generating function techniques and in a systematic low-temperature expansion of the transfer matrix.
AB - The melting transition of the two-dimensional, three-state, asymmetric or chiral clock model is examined. Evidence from scaling arguments and analysis of perturbation series is presented, indicating that the chiral symmetry-breaking operator is relevant at the symmetric (or pure Potts) critical point with a crossover exponent of ø ≈ 0.2. The remainder of the commensurate-disordered phase boundary therefore appears to be in a new universality class, distinct from the pure three-state Potts transition. An interfacial wetting transition that plays an important role in the crossover between the two types of critical behavior is discussed. The location and exponents of this wetting transition are obtained both in a low-temperature limit using generating function techniques and in a systematic low-temperature expansion of the transfer matrix.
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U2 - 10.1016/0378-4371(83)90001-8
DO - 10.1016/0378-4371(83)90001-8
M3 - Article
AN - SCOPUS:0002583044
SN - 0378-4371
VL - 121
SP - 363
EP - 398
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 3
ER -