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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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INTERACTING FERMIONS ON A LATTICE

INTERACTING FERMIONS ON A LATTICE

Chapter:
(p.200) 7 INTERACTING FERMIONS ON A LATTICE
Source:
Quantum Physics in One Dimension
Author(s):

Thierry Giamarchi

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198525004.003.0007

This chapter examines the canonical microscopic models used to study interacting fermions. Most of these models are quite general and are not special to one dimension. These models try to implement the essential ingredients for studying a strongly interacting electronic system: the kinetic energy, the interaction, and the lattice in order to be able to study effects such as the Mott transition. Single chain fermionic systems are considered, and transport in fermionic systems and the Mott transition are discussed. In addition, the relaxation of the momentum due to scattering on the lattice is analyzed.

Keywords:   fermions, lattices, microscopic models, persistent currents, Mott insulator, Hubbard model, one-dimensional systems, conductance, transport

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