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Quantum Physics in One Dimension$
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Thierry Giamarchi

Print publication date: 2003

Print ISBN-13: 9780198525004

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198525004.001.0001

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BOSONIZATION

BOSONIZATION

Chapter:
(p.29) 2 BOSONIZATION
Source:
Quantum Physics in One Dimension
Author(s):

Thierry Giamarchi

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198525004.003.0002

This chapter explains bosonization, a useful technique for describing the low-energy properties of one-dimensional systems. Bosonization is introduced by presenting a model on which this method is essentially exact. This allows for the derivation of precise formulas that can be used for other models as well. Bosons are mapped with fermions and the effect of the interactions is examined. A one-dimensional system with spin is also discussed, and renormalization equations for sine-Gordon Hamiltonians are presented and analyzed. Furthermore, the generic phase diagram of a one-dimensional chain is obtained.

Keywords:   bosonization, bosons, one-dimensional systems, sine-Gordon Hamiltonians, phase diagrams, renormalization equations, spinless models, physical observables

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