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From Luttinger liquids to Luttinger droplets

Marcus Kollar, Augsburg University

01.07.2016 at 09:00 

The exactly solvable Tomonaga-Luttinger model describes two flavors of interacting electrons with linear dispersion in one dimension, but some of its properties are in fact characteristic for a wider class of one-dimensional systems according to the Luttinger liquid paradigm. 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.
In this talk I will present recent work on higher-order bosonization identities, which provide bosonic  representations also for more complicated fermionic operators. As an application, Luttinger 'droplets' with position-dependent parameters are investigated.

A 450, Theresienstr. 37