Details
| Original language | English |
|---|---|
| Article number | 245405 |
| Journal | Physical Review B |
| Volume | 103 |
| Issue number | 24 |
| Publication status | Published - 2 Jun 2021 |
Abstract
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. 103, No. 24, 245405, 02.06.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Effective narrow ladder model for two quantum wires on a semiconducting substrate
AU - Abdelwahab, Anas
AU - Jeckelmann, Eric
N1 - Funding Information: We would like to thank T. Shirakawa for fruitful discussions on the BL algorithm. This work was done as part of the Research Units Metallic nanowires on the atomic scale: Electronic and vibrational coupling in real world systems (FOR1700) of the German Research Foundation (DFG) and was supported by Grant No. JE 261/1-2. The DMRG calculations were carried out on the cluster system at the Leibniz University of Hannover.
PY - 2021/6/2
Y1 - 2021/6/2
N2 - We present a theoretical study of two spinless fermion wires coupled to a three-dimensional semiconducting substrate. We develop a mapping of wires and substrate onto a system of two coupled two-dimensional ladder lattices using a block Lanczos algorithm. We then approximate the resulting system by narrow ladder models, which can be investigated using the density-matrix renormalization group method. In the absence of any direct wire-wire hopping we find that the substrate can mediate an effective wire-wire coupling so that the wires could form an effective two-leg ladder with a Mott charge-density-wave insulating ground state for arbitrarily small nearest-neighbor repulsion. In other cases the wires remain effectively uncoupled even for strong wire-substrate hybridizations leading to the possible stabilization of the Luttinger liquid phase at finite nearest-neighbor repulsion as found previously for single wires on substrates. These investigations show that it may be difficult to determine under which conditions the physics of correlated one-dimensional electrons can be realized in arrays of atomic wires on semiconducting substrates because they seem to depend on the model (and consequently material) particulars.
AB - We present a theoretical study of two spinless fermion wires coupled to a three-dimensional semiconducting substrate. We develop a mapping of wires and substrate onto a system of two coupled two-dimensional ladder lattices using a block Lanczos algorithm. We then approximate the resulting system by narrow ladder models, which can be investigated using the density-matrix renormalization group method. In the absence of any direct wire-wire hopping we find that the substrate can mediate an effective wire-wire coupling so that the wires could form an effective two-leg ladder with a Mott charge-density-wave insulating ground state for arbitrarily small nearest-neighbor repulsion. In other cases the wires remain effectively uncoupled even for strong wire-substrate hybridizations leading to the possible stabilization of the Luttinger liquid phase at finite nearest-neighbor repulsion as found previously for single wires on substrates. These investigations show that it may be difficult to determine under which conditions the physics of correlated one-dimensional electrons can be realized in arrays of atomic wires on semiconducting substrates because they seem to depend on the model (and consequently material) particulars.
UR - http://www.scopus.com/inward/record.url?scp=85108023812&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.103.245405
DO - 10.1103/PhysRevB.103.245405
M3 - Article
VL - 103
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 24
M1 - 245405
ER -