Open Conference Systems, StatPhys 27 Main Conference

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Partition function zeros of p-state clock model in the complex temperature plane: the higher-order tensor renormalization group study
Seongpyo Hong, Dong-Hee Kim

##manager.scheduler.building##: Edificio Santa Maria
##manager.scheduler.room##: Auditorio San Agustin
Date: 2019-07-08 11:45 AM – 03:30 PM
Last modified: 2019-06-15

Abstract


We investigate the partition function zeros of two-dimensional p-state clock model in the complex temperature plane at p=5, 6, and the XY limit by using the higher-order tensor renormalization group (HOTRG) method. The deterministic HOTRG calculations of the leading Fisher zeros allow us access to a large enough system for a proper finite-size-scaling (FSS) analysis which has been very limited in Monte-Carlo approaches because of its stochastic nature. By considering a logarithmic correction which turns out to be essential in our FSS analysis, we provide a unified ansatz to characterize the leading zero trajectories of the upper and lower transitions that look very different in the complex temperature plane. From the FSS behavior of the leading zeros, we verify that the phase transitions at p≥5 are indeed of the BKT character with the known exponent ν=1/2, resolving the discrepancy between the previous Fisher zero study and the studies with other measures in the p-state clock model.