Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 24: Low-Dimensional Systems: 1D - Theory
TT 24.1: Vortrag
Dienstag, 21. März 2017, 09:30–09:45, HSZ 204
From Luttinger liquids to Luttinger droplets using higher-order bosonization identities — Sebastian Huber1 and •Marcus Kollar2 — 1Theoretical Solid State Physics, Ludwig-Maximilians-University, Munich, Germany — 2Theoretical Physics III, University of Augsburg, Germany
The exactly solvable Tomonaga-Luttinger model describes two flavors of
interacting electrons with linear dispersion in one dimension, but
some of its properties are characteristic for a wider class of
one-dimensional systems according to the Luttinger liquid
paradigm [1]. The exact solution for linear dispersion is based on
bosonization, which represents fermionic particle-hole excitations in
terms of canonical bosons and maps the Tomonaga-Luttinger Hamiltonian
onto a free bosonic theory. We use the framework of constructive
finite-size bosonization [2] to derive explicit bosonic
representations of general bilinear fermion operators including
arbitrary dispersion terms. As an application, Luttinger ‘droplets’
with position-dependent parameters are investigated.
[1] F. D. M. Haldane, J. Phys. C: Solid State Phys. 14, 2585 (1981).
[2] J. von Delft and H. Schoeller, Ann. Phys. 7, 225 (1998).