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Quantum one dimensional spin systems. Disorder and impurities; Systemes de spins quantiques unidimensionnels. Desordre et impuretes

Abstract

This thesis presents three studies that are respectively the spin-1 disordered chain, the non magnetic impurities in the spin-1/2 chain and the reaction-diffusion process. The spin-1 chain of weak disorder is performed by the Abelian bosonization and the renormalization group. This allows to take into account the competition between the disorder and the interactions and predicts the effects of various spin-1 anisotropy chain phases under many different disorders. A second work uses the non magnetic impurities as local probes of the correlations in the spin-1/2 chain. When the impurities are connected to the chain boundary, the author predicts a temperature dependence of the relaxation rate (1/T) of the nuclear spin impurities, different from the case of these impurities connected to the whole chain. The last work deals with one dimensional reaction-diffusion problem. The Jordan-Wigner transformation allows to consider a fermionic field theory that critical exponents follow from the renormalization group. (A.L.B.)
Authors:
Publication Date:
Jun 29, 1999
Product Type:
Thesis/Dissertation
Report Number:
FRCEA-TH-750
Reference Number:
EDB-00:108636
Resource Relation:
Other Information: TH: These Docteur en Sciences de l'Universite Paris-11 Orsay; 83 refs; PBD: 29 Jun 1999
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANTIFERROMAGNETISM; BOSONS; DIFFUSION; HEISENBERG MODEL; IMPURITIES; ORDER-DISORDER MODEL; QUANTUM MECHANICS; RANDOMNESS; SPIN; SUPERCONDUCTIVITY
OSTI ID:
20056660
Research Organizations:
CEA/Saclay, Service de Physique Theorique (SPhT), 91 - Gif-sur-Yvette (France); Paris-11 Univ., 91 - Orsay (France)
Country of Origin:
France
Language:
English; French
Other Identifying Numbers:
TRN: FR9906452017443
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
147 pages
Announcement Date:

Citation Formats

Brunel, V. Quantum one dimensional spin systems. Disorder and impurities; Systemes de spins quantiques unidimensionnels. Desordre et impuretes. France: N. p., 1999. Web.
Brunel, V. Quantum one dimensional spin systems. Disorder and impurities; Systemes de spins quantiques unidimensionnels. Desordre et impuretes. France.
Brunel, V. 1999. "Quantum one dimensional spin systems. Disorder and impurities; Systemes de spins quantiques unidimensionnels. Desordre et impuretes." France.
@misc{etde_20056660,
title = {Quantum one dimensional spin systems. Disorder and impurities; Systemes de spins quantiques unidimensionnels. Desordre et impuretes}
author = {Brunel, V}
abstractNote = {This thesis presents three studies that are respectively the spin-1 disordered chain, the non magnetic impurities in the spin-1/2 chain and the reaction-diffusion process. The spin-1 chain of weak disorder is performed by the Abelian bosonization and the renormalization group. This allows to take into account the competition between the disorder and the interactions and predicts the effects of various spin-1 anisotropy chain phases under many different disorders. A second work uses the non magnetic impurities as local probes of the correlations in the spin-1/2 chain. When the impurities are connected to the chain boundary, the author predicts a temperature dependence of the relaxation rate (1/T) of the nuclear spin impurities, different from the case of these impurities connected to the whole chain. The last work deals with one dimensional reaction-diffusion problem. The Jordan-Wigner transformation allows to consider a fermionic field theory that critical exponents follow from the renormalization group. (A.L.B.)}
place = {France}
year = {1999}
month = {Jun}
}