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Massachusetts Institute of Technology

New ab initio formulation of electron correlation and spin resonance

Abstract

dc:description.abstract

We explore a new class of computationally feasible approximations of the two-body density matrix as a finite sum of tensor products of single-particle operators. Representing correlations by a single tensor product leads to the recently proposed "natural orbital functional." We show that this theory is no more accurate than Hartree-Fock in describing the homogeneous electron gas for the range of densities typically found in the valence regions of solids. We then present a new density-matrix functional within this tensor-product framework which performs well both for the homogeneous electron gas as well as atoms. For the electron gas, it is very accurate at high densities, and comparable to Hartree-Fock at metallic valence densities. For atoms it is on par with previous density-matrix functionals and the best density-functional methods. We demonstrate the utility of first principles computational methods in interpreting Electron Spin Resonance experiments. We propose a new structure for the fundamental excitation of the reconstructed 30Ê» partial dislocation in silicon. The isolated atom in the defect, or soliton, has an unusual structure involving a five-fold coordinated atom near the dislocation core. The unique electronic structure of this defect is consistent with the electron spin resonance signature of the hitherto enigmatic thermally stable R center of plastically deformed silicon. This identification suggests the possibility of an experimental determination of the density of solitons, a key defect in understanding the plastic flow of the material.

Degree

thesis:*
Department dc:contributor.department
Massachusetts Institute of Technology. Dept. of Physics.
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2001

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Csányi, Gábor, 1973-
Advisor dc:contributor.advisor
  • Tomás A. Arias.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/1721.1/8282
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/8282

Chain of custody

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MIT
Base URL
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Last updated
2026-07-22
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citation

Csányi, Gábor, 1973-. New ab initio formulation of electron correlation and spin resonance. Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/8282