Study Existence Kosterlitz-Thouless Phase State Elementary Quantum Rotors

Author(s)

Oscar Bolina Junior

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 1997-12-18

Examining board members

Jose Fernando Perez; Bruto Max Pimentel Escobar; Eduardo Jordao Neves; Clodoaldo Grotta Ragazzo; Walter Felipe Wreszinski

• Advisor: Jose Fernando Perez

Abstract

We investigate the existence of a Kosterlitz-Thoules phase in the ground state of a one-dimensional array of quantum rotators. We prove that this model does not exhibit a first-order phase transition since a McBryan-Spencer bound holds for it. We obtain the partition function of the rotators in the Lie-Trotter, sine-Gordon, and charge representations. In this latter representation, we give a new proof of the upper bound polynomial decay on the external charges correlation function of a dipole gas with hardcore. (AU)