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Tight binding

In solid-state physics, the tight-binding model (or TB model) is an approach to the calculation of electronic band structure using an approximate set of wave functions based upon superposition of wave functions for isolated atoms located at each atomic site. The method is closely related to the LCAO method (linear combination of atomic orbitals method)…

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Overview

Introduction

Historical background

Mathematical formulation

Connection to Wannier functions

Second quantization

Table of interatomic matrix elements

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Tight binding

Nodes79
Edges78
Triples33
Avg. degree1.97
Density0.025316
Components1

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Tight binding

Top relations

related to Evaluation of the matrix elements · 9
Tight binding → As, Brillouin, Energies, If, In, Most, Parameters, The, There
related to Introduction · 6
Tight binding → As, Hamiltonian, The, There, Though, Two
related to Second quantization · 5
Tight binding → Hamiltonian, Hubbard, Modern, Tight, Using
related to The tight binding matrix elements · 5
Tight binding → Delta, If, It, The, This
related to The tight binding Hamiltonian · 4
Tight binding → Bloch, Here, The, Using
related to Example: one-dimensional s-band · 3
Tight binding → Hamiltonian, Here, To

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Important terminology

atomic displaystyle model orbitals energy elements atoms tight-binding matrix band tight binding hamiltonian atom function wave functions electronic interatomic mathbf

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the random phase approximationinstance ofin combination with other methods0.80text
Tight bindingrelated to Evaluation of the matrix elementsAs0.60section
Tight bindingrelated to Evaluation of the matrix elementsIf0.60section
Tight bindingrelated to Evaluation of the matrix elementsIn0.60section
Tight bindingrelated to Evaluation of the matrix elementsThe0.60section
Tight bindingrelated to Evaluation of the matrix elementsMost0.60section
Tight bindingrelated to Evaluation of the matrix elementsThere0.60section
Tight bindingrelated to Evaluation of the matrix elementsParameters0.60section
Tight bindingrelated to Evaluation of the matrix elementsEnergies0.60section
Tight bindingrelated to Evaluation of the matrix elementsBrillouin0.60section
Tight bindingrelated to Example: one-dimensional s-bandHere0.60section
Tight bindingrelated to Example: one-dimensional s-bandTo0.60section

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