SEMINAR on Disorder and strong electron correlations: "Transport of interacting electrons through a potential barrier: nonperturbative RG approach"

[CM ICTP - Trieste]

CONDENSED MATTER SECTION

	
SEMINAR on

Disorder and strong electron correlations





Thursday, 6 December   -    11:00 hrs.



Seminar Room,  Main Building - First floor





D. ARISTOV
(TKM, Karlsruhe University)




"Transport of interacting electrons through a potential barrier: 
nonperturbative RG approach"


Abstract

We calculate the linear response conductance of electrons in a 
Luttinger liquid with arbitrary interaction g_{2}, and subject to a 
potential barrier of arbitrary strength, as a function of temperature 
and/or the length of interaction region. Our result agrees with known 
limiting cases. We first map the Hamiltonian in the basis of scattering 
states into an effective low energy Hamiltonian in current algebra 
form. Analyzing the perturbation theory in the fermionic representation 
the diagrams contributing to the renormalization group (RG) 
beta-function are identified. The universal part of beta-function is 
given by a ladder series and is summed to all orders in g_{2}. The 
RG-equation for  temperature dependent conductance is solved 
analytically.  A non-universal part of beta-function beyond the ladder 
series is discussed and compared to the recent exact solution of the 
problem.