Details
| Original language | English |
|---|---|
| Article number | 075151 |
| Journal | Physical Review B |
| Volume | 100 |
| Issue number | 7 |
| Publication status | Published - 15 Aug 2019 |
Abstract
In a previous paper [Bischoff and Jeckelmann, Phys. Rev. B 96, 195111 (2017)2469-995010.1103/PhysRevB.96.195111] we introduced a density-matrix renormalization group method for calculating the linear conductance of one-dimensional correlated quantum systems and demonstrated it on homogeneous spinless fermion chains with impurities. Here we present extensions of this method to inhomogeneous systems, models with phonons, and the spin conductance of electronic models. The method is applied to a spinless fermion wire-lead model, the homogeneous spinless Holstein model, and the Hubbard model. Its capabilities are demonstrated by comparison with the predictions of Luttinger liquid theory combined with Bethe ansatz solutions and other numerical methods. We find a complex behavior for quantum wires coupled to interacting leads when the sign of the interaction (repulsive/attractive) differs in the wire and leads. The renormalization of the conductance given by the Luttinger parameter in purely fermionic systems is shown to remain valid in the Luttinger liquid phase of the Holstein model with phononic degrees of freedom.
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. 100, No. 7, 075151, 15.08.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Density-matrix renormalization group study of the linear conductance in quantum wires coupled to interacting leads or phonons
AU - Bischoff, Jan-Moritz
AU - Jeckelmann, Eric
N1 - Funding information: J.B. would like to thank the Lower Saxony Ph.D. program Contacts in Nanosystems for financial support. We also acknowledge support from the DFG (Deutsche Forschungsgemeinschaft) through Grant No. JE 261/2-2 in the Research Unit Advanced Computational Methods for Strongly Correlated Quantum Systems (FOR 1807). The cluster system at the Leibniz Universität Hannover was used for the computations.
PY - 2019/8/15
Y1 - 2019/8/15
N2 - In a previous paper [Bischoff and Jeckelmann, Phys. Rev. B 96, 195111 (2017)2469-995010.1103/PhysRevB.96.195111] we introduced a density-matrix renormalization group method for calculating the linear conductance of one-dimensional correlated quantum systems and demonstrated it on homogeneous spinless fermion chains with impurities. Here we present extensions of this method to inhomogeneous systems, models with phonons, and the spin conductance of electronic models. The method is applied to a spinless fermion wire-lead model, the homogeneous spinless Holstein model, and the Hubbard model. Its capabilities are demonstrated by comparison with the predictions of Luttinger liquid theory combined with Bethe ansatz solutions and other numerical methods. We find a complex behavior for quantum wires coupled to interacting leads when the sign of the interaction (repulsive/attractive) differs in the wire and leads. The renormalization of the conductance given by the Luttinger parameter in purely fermionic systems is shown to remain valid in the Luttinger liquid phase of the Holstein model with phononic degrees of freedom.
AB - In a previous paper [Bischoff and Jeckelmann, Phys. Rev. B 96, 195111 (2017)2469-995010.1103/PhysRevB.96.195111] we introduced a density-matrix renormalization group method for calculating the linear conductance of one-dimensional correlated quantum systems and demonstrated it on homogeneous spinless fermion chains with impurities. Here we present extensions of this method to inhomogeneous systems, models with phonons, and the spin conductance of electronic models. The method is applied to a spinless fermion wire-lead model, the homogeneous spinless Holstein model, and the Hubbard model. Its capabilities are demonstrated by comparison with the predictions of Luttinger liquid theory combined with Bethe ansatz solutions and other numerical methods. We find a complex behavior for quantum wires coupled to interacting leads when the sign of the interaction (repulsive/attractive) differs in the wire and leads. The renormalization of the conductance given by the Luttinger parameter in purely fermionic systems is shown to remain valid in the Luttinger liquid phase of the Holstein model with phononic degrees of freedom.
UR - http://www.scopus.com/inward/record.url?scp=85072562858&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1907.01844
DO - 10.48550/arXiv.1907.01844
M3 - Article
VL - 100
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 7
M1 - 075151
ER -