Using zeros of the canonical partition function map to detect signatures of a Berezinskii–Kosterlitz–Thouless transition
| Autor: | L. A. S. Mól, J. C. S. Rocha, B. V. Costa |
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| Rok vydání: | 2016 |
| Předmět: |
Condensed Matter::Quantum Gases
Phase transition Statistical Mechanics (cond-mat.stat-mech) Monte Carlo method FOS: Physical sciences General Physics and Astronomy Renormalization group 01 natural sciences 010305 fluids & plasmas Universality (dynamical systems) Combinatorics Kosterlitz–Thouless transition Hardware and Architecture Condensed Matter::Superconductivity 0103 physical sciences Thermodynamic limit 010306 general physics Condensed Matter - Statistical Mechanics Mathematics Mathematical physics |
| Zdroj: | Computer Physics Communications. 209:88-91 |
| ISSN: | 0010-4655 |
| Popis: | Using the two dimensional X Y − ( S ( O ( 3 ) ) ) model as a test case, we show that analysis of the Fisher zeros of the canonical partition function can provide signatures of a transition in the Berezinskii–Kosterlitz–Thouless ( B K T ) universality class. Studying the internal border of zeros in the complex temperature plane, we found a scenario in complete agreement with theoretical expectations which allow one to uniquely classify a phase transition as in the B K T class of universality. We obtain T BKT in excellent accordance with previous results. A careful analysis of the behavior of the zeros for both regions R e ( T ) ≤ T BKT and R e ( T ) > T BKT in the thermodynamic limit shows that I m ( T ) goes to zero in the former case and is finite in the last one. |
| Databáze: | OpenAIRE |
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