Tight-binding models
Quantum Condensed Matter Physics: Lecture 14 Theoretical physicist Dr Andrew Mitchell presents an advanced undergraduate / introductory Master's level lecture course on Quantum Condensed Matter Physics at University College Dublin. This is a complete and self-contained set of lectures, in which the theory is built up from scratch, and requires only a knowledge of basic quantum mechanics. In this lecture, I discuss the formulation of tight-binding models and apply it to examples of periodic crystal lattices, including graphene, as well as simple molecular systems. I go on to discuss the general solution of such models by diagonalizing the Hamiltonian matrix, as well as through canonical transformation of operators and using the Fourier transformation. Navigate through the lectures of this course in order using the playlist: • Quantum condensed matter physics lecture p... Recommended course textbook: "Many-body quantum theory in condensed matter physics" by Bruss and Flensberg

Fundamentals of band structure

Intro to Quantum Condensed Matter Physics

Student Video: Tight Binding Model

Scott Aaronson - The TRUTH About Quantum Computing

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Quantum phase transitions, spontaneous symmetry breaking, mean field theory

The problem with pretending quantum mechanics makes sense | Sean Carroll

Green's functions for tight-binding systems

The 2016 Nobel Prize in Physics - Professor Michael Fuhrer

Quantum spin liquids and valence bond solids

Tight binding model – David Miller

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What is a topological insulator? ▸ Jennifer Cano (Stony Brook)

Green's functions in condensed matter physics: basics

Richard Feynman: Quantum Mechanical View of Reality 1

Observables, Density Matrix, Reduced Density Matrix, Entanglement Entropy

GRAPHENE, DIRAC CONES, KLEIN TUNNELING

Topological States of Quantum Condensed Matter: Duncan Haldane

