# 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