Mobile impurities in one-dimensional quantum liquids

Campbell, Andrew Stewart (2013). Mobile impurities in one-dimensional quantum liquids. University of Birmingham. Ph.D.

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Abstract

For a long time the Luttinger liquid has served as the standard low energy description of gapless one-dimensional quantum systems. More recently, using an effective mobile impurity model has allowed progress to be made beyond the linearity of the spectrum. In this thesis we show that the depleton model of mobile impurities can be extended to become equivalent to the effective impurity model calculate the dynamic response functions. We also use exact Bethe ansatz solutions to conorm predictions of the effective model to demonstrate the reliability of both the depleton model and the response functions.

Type of Work: Thesis (Doctorates > Ph.D.)
Award Type: Doctorates > Ph.D.
Supervisor(s):
Supervisor(s)EmailORCID
Gangardt, DmitriUNSPECIFIEDUNSPECIFIED
Licence:
College/Faculty: Colleges (2008 onwards) > College of Engineering & Physical Sciences
School or Department: School of Physics and Astronomy
Funders: Engineering and Physical Sciences Research Council
Subjects: Q Science > QA Mathematics
URI: http://etheses.bham.ac.uk/id/eprint/4079

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