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Mobile impurities in one-dimensional quantum liquids

Campbell, Andrew Stewart (2013)
Ph.D. thesis, University of Birmingham.

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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:Ph.D. thesis.
Supervisor(s):Gangardt, Dmitri
School/Faculty:Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:School of Physics and Astronomy
Subjects:QA Mathematics
Institution:University of Birmingham
ID Code:4079
This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder.
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