Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102855
Title: Unconventional low-temperature features in the one-dimensional frustrated q -state Potts model
Authors: Panov, Y.
Rojas, O.
Issue Date: 2021
Publisher: American Physical Society
Citation: Panov Y. Unconventional low-temperature features in the one-dimensional frustrated q -state Potts model / Y. Panov, O. Rojas. — DOI 10.1103/PhysRevE.103.062107 // Physical Review E. — 2021. — Vol. 103. — Iss. 6. — 062107.
Abstract: Here we consider a one-dimensional q-state Potts model with an external magnetic field and an anisotropic interaction that selects neighboring sites that are in the spin state 1. The present model exhibits unusual behavior in the low-temperature region, where we observe an anomalous vigorous change in the entropy for a given temperature. There is a steep behavior at a given temperature in entropy as a function of temperature, quite similar to first-order discontinuity, but there is no jump in the entropy. Similarly, second derivative quantities like specific heat and magnetic susceptibility also exhibit strong acute peaks similar to second-order phase transition divergence, but once again there is no singularity at this point. Correlation length also confirms this anomalous behavior at the same given temperature, showing a strong and sharp peak which easily one may confuse with a divergence. The temperature where this anomalous feature occurs we call the pseudocritical temperature. We have analyzed physical quantities, like correlation length, entropy, magnetization, specific heat, magnetic susceptibility, and distant pair correlation functions. Furthermore, we analyze the pseudocritical exponents that satisfy a class of universality previously identified in the literature for other one-dimensional models; these pseudocritical exponents are for correlation length ν=1, specific heat α=3, and magnetic susceptibility μ=3. © 2021 American Physical Society.
Keywords: ENTROPY
MAGNETIC SUSCEPTIBILITY
MAGNETISM
SPECIFIC HEAT
TEMPERATURE
ANISOTROPIC INTERACTION
EXTERNAL MAGNETIC FIELD
LOW TEMPERATURE FEATURES
LOW TEMPERATURE REGIONS
ONE-DIMENSIONAL MODEL
PAIR CORRELATION FUNCTIONS
PSEUDO-CRITICAL TEMPERATURE
SECOND-ORDER PHASE TRANSITION
POTTS MODEL
URI: http://hdl.handle.net/10995/102855
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85107646678
PURE ID: 22105878
8342eb60-70c0-4b41-9072-afdf2f28ca31
ISSN: 24700045
DOI: 10.1103/PhysRevE.103.062107
metadata.dc.description.sponsorship: The work was partly supported by the Ministry of Education and Science of the Russian Federation, Project No. FEUZ-2020-0054, and Brazilian agencies CNPq and FAPEMIG.
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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