Abstract

Abstract A method is given for the numerical calculation of energy surface integrals within the Brillouin zone like density of states, conductivity, susceptibility, dielectric function etc. The Brillouin zone is divided into tetrahedrons in which the integrand is interpolated linearly. In this way the integration can be done analytically avoiding the histogram method. Several similar methods are discussed with regard to the quotient of accuracy and effort.

Keywords

Brillouin zoneTetrahedronQuotientHistogramFunction (biology)DielectricDensity of statesMathematical analysisMathematicsEnergy (signal processing)Statistical physicsPhysicsCondensed matter physicsGeometryImage (mathematics)Quantum mechanicsComputer sciencePure mathematicsStatistics

Affiliated Institutions

Related Publications

Publication Info

Year
1972
Type
article
Volume
54
Issue
2
Pages
469-477
Citations
1248
Access
Closed

External Links

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

1248
OpenAlex

Cite This

G. Lehmann, M. Taut (1972). On the Numerical Calculation of the Density of States and Related Properties. physica status solidi (b) , 54 (2) , 469-477. https://doi.org/10.1002/pssb.2220540211

Identifiers

DOI
10.1002/pssb.2220540211