Graph centered on Electronic band structure, showing the selected concept and its surrounding relations.Preparing the interactive atlas…

Keyboard graph navigation: press N for concepts or E for relations; use arrow keys, Home, and End to move; Enter selects; Shift plus Enter selects and centers; plus and minus zoom; zero fits; Escape clears the selection. Use the visible viewport buttons as alternatives to dragging, wheel, and pinch gestures.

Curated starting points

Stories & Views

Relationship-aware analysis

Compare concepts

Choose two concepts to compare or connect.
Reading the graph

Guide to the Atlas

Canonical static concept record

Electronic band structure

Open this concept in the interactive graphRead the Markdown equivalent

Summary

The allowed electron energies as functions of crystal momentum in a periodic or approximately periodic solid. Band calculations depend on the Hamiltonian and approximation and need not capture strong correlation without additional treatment.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Band insulatorElectronic band structure

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A band insulator’s band structure has completely filled occupied bands separated from empty bands by an excitation gap at the chemical potential.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

Band metalElectronic band structure

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

In the band-metal regime, the occupied bands are not separated from all unoccupied states by a gap at the chemical potential.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

Nearly-free-electron modelElectronic band structure

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

The nearly-free approximation produces bands close to the free-electron parabola, with gaps opened where reciprocal-lattice scattering mixes degenerate plane waves.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

Periodic-electron modelElectronic band structure

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Solving the periodic Hamiltonian in each crystal-momentum sector yields energy bands; the result belongs to the selected one-particle or mean-field model.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

SemiconductorElectronic band structure

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A semiconductor has a band gap while temperature, doping, illumination, or electrostatic control can populate mobile conduction-band electrons or valence-band holes.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

Tight-binding modelElectronic band structure

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Diagonalizing the Bloch Hamiltonian of a tight-binding model yields its band structure; it describes only the orbitals and interactions retained in that model.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

No direct relations are authored in this direction.