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Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Critical Phenomena and Phase Transitions

DY 26.6: Vortrag

Mittwoch, 7. September 2022, 11:15–11:30, H20

Critical behavior of the three-state random-field Potts model in three dimensionsManoj Kumar1, Varsha Banerjee2, Sanjay Puri3, and •Martin Weigel11Institut für Physik, Technische Universität Chemnitz, 09107 Chemnitz, Germany — 2Department of Physics, Indian Institute of Technology, Hauz Khas, New Delhi – 110016, India — 3School of Physical Sciences, Jawaharlal Nehru University, New Delhi – 110067, India.

Enormous advances have been made in the past 20 years in our understanding of the random-field Ising model, and there is now consensus on many aspects of its behavior at least in thermal equilibrium. In contrast, little is known about its generalization to the random-field Potts model which has a number of important experimental realizations. Here we start filling this gap with an investigation of the three-state random-field Potts model in three dimensions. Building on the success of ground-state calculations for the Ising system, we use a recently developed approximate scheme based on graph-cut methods to study the properties of the zero-temperature random fixed point of the system that determines the zero and non-zero temperature transition behavior. We find compelling evidence for a continuous phase transition. Implementing an extensive finite-size scaling (FSS) analysis, we determine the critical exponents and compare them to those of the random-field Ising model.

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