Thermodynamics of integrable systems

• Grant number: 11/14305-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2012
• End date: January 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Giuliano Augustus Pavan Ribeiro
• Grantee: Thiago Silva Tavares
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

The purpose of this project is to study the thermodynamical properties of quantum integrable models, as the anisotropic Heisenberg chain with generalized interaction (which resembles the Dzyaloshinski-Moryia interaction) and its high-spin extension. Recently systems of similar nature have been used to describe experimental results of quasi-unidimensional spin chains. We plan to use the quantum transfer matrix approach in order to obtain a closed set of non-linear integral equations for the thermodynamics.