Transições de Fase e Fenómenos Críticos

Objectives

Understand the concepts of phases and phase transitions and appreciate the role of symmetry in their classification. Understand the fundamental role of the thermodynamic limit. Recognize “canonical” models and their properties. Appreciate the emergence of universality arising near critical points.

Syllabus

1 - Thermodynamics and Stability 2 - Symmetry and Spontaneous Symmetry Breaking 3 - Scaling 4 - Ordered Phases 5 - Renormalization Group 6 - Kosterlitz–Thouless Transition 7 - 2D Ising Model and Quantum Phase Transitions

Prerequisites

Statistical Physics; Quantum Mechanics I; Solid State Physics

Cross Competence Component

The UC allows the development of transversal competences on Critical Thinking, namely strategic thinking and problem-solving approaches, within the assignemnts, flash and paper presentations, and project; Interpersonal and Intrapersonal Skills (oral, organizational and teamwork, self-discipline, perseverance, self-motivation skills - within the assignemnts, flash and paper presentations, and project); and Information and Media Literacy (ability to locate and access information, as well as to analyze and evaluate media content - within the assignemnts, flash and paper presentations, and project). The assessment percentage associated with these competencies should be around 20%.

Laboratorial Component

This course has no laboratory component.

Programming And Computing Component

No extensive programming or computing components are expected.

Ethical Principles

All members of a group are responsible for the group’s work In any assessment, every student shall honestly disclose any help received and sources used. In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.