DMRG evaluation of the Kubo formula —Conductance of strongly interacting quantum systems

Autor: Peter Schmitteckert, Dan Bohr, Peter Woelfle
Rok vydání: 2006
Předmět:
Zdroj: Europhysics Letters (EPL). 73:246-252
ISSN: 1286-4854
0295-5075
DOI: 10.1209/epl/i2005-10377-6
Popis: In this paper we present a novel approach combining linear response theory (Kubo) for the conductance and the Density Matrix Renormalization Group (DMRG). The system considered is one-dimensional and consists of non-interacting tight binding leads coupled to an interacting nanostructure via weak links. Electrons are treated as spinless fermions and two different correlation functions are used to evaluate the conductance. Exact diagonalization calculations in the non-interacting limit serve as a benchmark for our combined Kubo and DMRG approach in this limit. Including both weak and strong interaction we present DMRG results for an extended nanostructure consisting of seven sites. For the strongly interacting structure a simple explanation of the position of the resonances is given in terms of hard-core particles moving freely on a lattice of reduced size.
7 pages, 2 figures. Minor typos corrected
Databáze: OpenAIRE