Electronic properties of an amorphous solid. III. The cohesive energy and the density of states

Michael Thorpe, D. Weaire, R. Alben

Research output: Contribution to journalArticle

74 Citations (Scopus)

Abstract

The effect of topological disorder on the cohesive energy and the electronic density of states of amorphous Si and Ge is investigated. The methods used include moment expansions and various exactly soluble models that include the Bethe lattice and Husimi cactus lattices, for which an extremely compact derivation of the density of states is presented. An isolated topological defect in a diamond cubic lattice is also studied. The question of the existence of square-root band edges in topologically disordered systems is examined. A review of recent experimental evidence, relating to the shape of the density of states, is given.

Original languageEnglish (US)
Pages (from-to)3777-3788
Number of pages12
JournalPhysical Review B
Volume7
Issue number8
DOIs
StatePublished - 1973
Externally publishedYes

Fingerprint

Diamond
Electronic density of states
Electronic properties
Diamonds
flux density
Defects
electronics
cubic lattices
derivation
diamonds
disorders
moments
expansion
defects
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Electronic properties of an amorphous solid. III. The cohesive energy and the density of states. / Thorpe, Michael; Weaire, D.; Alben, R.

In: Physical Review B, Vol. 7, No. 8, 1973, p. 3777-3788.

Research output: Contribution to journalArticle

Thorpe, Michael ; Weaire, D. ; Alben, R. / Electronic properties of an amorphous solid. III. The cohesive energy and the density of states. In: Physical Review B. 1973 ; Vol. 7, No. 8. pp. 3777-3788.
@article{ef552ad1771a406682a9749c41046ea7,
title = "Electronic properties of an amorphous solid. III. The cohesive energy and the density of states",
abstract = "The effect of topological disorder on the cohesive energy and the electronic density of states of amorphous Si and Ge is investigated. The methods used include moment expansions and various exactly soluble models that include the Bethe lattice and Husimi cactus lattices, for which an extremely compact derivation of the density of states is presented. An isolated topological defect in a diamond cubic lattice is also studied. The question of the existence of square-root band edges in topologically disordered systems is examined. A review of recent experimental evidence, relating to the shape of the density of states, is given.",
author = "Michael Thorpe and D. Weaire and R. Alben",
year = "1973",
doi = "10.1103/PhysRevB.7.3777",
language = "English (US)",
volume = "7",
pages = "3777--3788",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "8",

}

TY - JOUR

T1 - Electronic properties of an amorphous solid. III. The cohesive energy and the density of states

AU - Thorpe, Michael

AU - Weaire, D.

AU - Alben, R.

PY - 1973

Y1 - 1973

N2 - The effect of topological disorder on the cohesive energy and the electronic density of states of amorphous Si and Ge is investigated. The methods used include moment expansions and various exactly soluble models that include the Bethe lattice and Husimi cactus lattices, for which an extremely compact derivation of the density of states is presented. An isolated topological defect in a diamond cubic lattice is also studied. The question of the existence of square-root band edges in topologically disordered systems is examined. A review of recent experimental evidence, relating to the shape of the density of states, is given.

AB - The effect of topological disorder on the cohesive energy and the electronic density of states of amorphous Si and Ge is investigated. The methods used include moment expansions and various exactly soluble models that include the Bethe lattice and Husimi cactus lattices, for which an extremely compact derivation of the density of states is presented. An isolated topological defect in a diamond cubic lattice is also studied. The question of the existence of square-root band edges in topologically disordered systems is examined. A review of recent experimental evidence, relating to the shape of the density of states, is given.

UR - http://www.scopus.com/inward/record.url?scp=0345973305&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345973305&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.7.3777

DO - 10.1103/PhysRevB.7.3777

M3 - Article

AN - SCOPUS:0345973305

VL - 7

SP - 3777

EP - 3788

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 8

ER -