Monte Carlo techniques applied to fase transitions in magnetic systems.

• Grant number: 24/18683-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2025
• End date: December 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: José Abel Hoyos Neto
• Grantee: Tony Maciel Alexander
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This research project aims to study basic concepts of phase transitions and Monte Carlo techniques, applying them to the multi-state clock model and the XY model on the square lattice with nearest and next-nearest frustrating neighbors. More specifically, the Landau mean-field theory, the finite-size scaling theory, the Metropolis, Heat bath and thermal bath local update algorithms, the Swendsen-Wang and Wolff non-local update algorithms, and, finally, the order-by-disorder mechanism will all be studied.