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Mobile impurity approach to the optical conductivity in the Hubbard chain

Abstract:
We consider the optical conductivity in the one dimensional Hubbard model in the metallic phase close to half filling. In this regime most of the spectral weight is located at frequencies above an energy scale Eopt that tends towards the optical gap in the Mott insulating phase for vanishing doping. Using the Bethe Ansatz we relate Eopt to thresholds of particular kinds of excitations in the Hubbard model. We then employ a mobile impurity models to analyze the optical conductivity for frequencies slightly above these thresholds. This entails generalizing mobile impurity models to excited states that are not highest weight with regards to the SU(2) symmetries of the Hubbard chain, and that occur at a maximum of the impurity dispersion.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevB.93.205101

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Publisher:
American Physical Society
Journal:
Physical Review B More from this journal
Volume:
93
Issue:
20
Article number:
205101
Publication date:
2016-01-01
Acceptance date:
2016-04-14
DOI:
EISSN:
2469-9969
ISSN:
2469-9950


Pubs id:
pubs:616923
UUID:
uuid:82d6ba3d-2c23-4d9e-a3df-3bf53665d626
Local pid:
pubs:616923
Source identifiers:
616923
Deposit date:
2016-04-21

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