Details
| Original language | English |
|---|---|
| Article number | 195111 |
| Journal | Physical Review B |
| Volume | 96 |
| Issue number | 19 |
| Publication status | Published - 3 Nov 2017 |
Abstract
We improve the density-matrix renormalization group (DMRG) evaluation of the Kubo formula for the zero-temperature linear conductance of one-dimensional correlated systems. The dynamical DMRG is used to compute the linear response of a finite system to an applied ac source-drain voltage; then the low-frequency finite-system response is extrapolated to the thermodynamic limit to obtain the dc conductance of an infinite system. The method is demonstrated on the one-dimensional spinless fermion model at half filling. Our method is able to replicate several predictions of the Luttinger liquid theory such as the renormalization of the conductance in a homogeneous conductor, the universal effects of a single barrier, and the resonant tunneling through a double barrier.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 96, No. 19, 195111, 03.11.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Density-matrix renormalization group method for the conductance of one-dimensional correlated systems using the Kubo formula
AU - Bischoff, Jan-Moritz
AU - Jeckelmann, Eric
N1 - Publisher Copyright: © 2017 American Physical Society. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2017/11/3
Y1 - 2017/11/3
N2 - We improve the density-matrix renormalization group (DMRG) evaluation of the Kubo formula for the zero-temperature linear conductance of one-dimensional correlated systems. The dynamical DMRG is used to compute the linear response of a finite system to an applied ac source-drain voltage; then the low-frequency finite-system response is extrapolated to the thermodynamic limit to obtain the dc conductance of an infinite system. The method is demonstrated on the one-dimensional spinless fermion model at half filling. Our method is able to replicate several predictions of the Luttinger liquid theory such as the renormalization of the conductance in a homogeneous conductor, the universal effects of a single barrier, and the resonant tunneling through a double barrier.
AB - We improve the density-matrix renormalization group (DMRG) evaluation of the Kubo formula for the zero-temperature linear conductance of one-dimensional correlated systems. The dynamical DMRG is used to compute the linear response of a finite system to an applied ac source-drain voltage; then the low-frequency finite-system response is extrapolated to the thermodynamic limit to obtain the dc conductance of an infinite system. The method is demonstrated on the one-dimensional spinless fermion model at half filling. Our method is able to replicate several predictions of the Luttinger liquid theory such as the renormalization of the conductance in a homogeneous conductor, the universal effects of a single barrier, and the resonant tunneling through a double barrier.
UR - http://www.scopus.com/inward/record.url?scp=85039151643&partnerID=8YFLogxK
U2 - 10.1103/physrevb.96.195111
DO - 10.1103/physrevb.96.195111
M3 - Article
VL - 96
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 19
M1 - 195111
ER -