Abstract
We discuss the technique of bosonization for studying systems of interacting fermions in one dimension. After briefly reviewing the low-energy properties of Fermi and Luttinger liquids, we present some of the relations between bosonic and fermionic operators in one dimension. We use these relations to calculate the correlation functions and the renormalization group properties of various operators for a system of spinless fermions. We then apply the methods of bosonization to study the Heisenberg antiferromagnetic spin 1/2 chain, the Hubbard model in one dimension and transport in clean quantum wires and in the presence of isolated impurities.
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© 2001 Hindustan Book Agency
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Rao, S., Sen, D. (2001). An Introduction to Bosonization and Some of its Applications. In: Field Theories in Condensed Matter Physics. Texts and Readings in Physical Sciences. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-07-1_6
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DOI: https://doi.org/10.1007/978-93-86279-07-1_6
Publisher Name: Hindustan Book Agency, Gurgaon
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