Details
| Original language | English |
|---|---|
| Article number | 235138 |
| Number of pages | 10 |
| Journal | Phys. Rev. B |
| Volume | 98 |
| Issue number | 23 |
| Publication status | Published - 18 Dec 2018 |
Abstract
Keywords
- cond-mat.str-el
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Phys. Rev. B, Vol. 98, No. 23, 235138, 18.12.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Luttinger liquid and charge-density-wave phases in a spinless fermion wire on a semiconducting substrate
AU - Abdelwahab, Anas
AU - Jeckelmann, Eric
N1 - Funding information: A.A. thanks M. Rizzi for useful discussions. 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 JE 261/1-2. The DMRG calculations were carried out on the cluster system at the Leibniz University of Hannover.
PY - 2018/12/18
Y1 - 2018/12/18
N2 - An interacting spinless fermion wire coupled to a three-dimensional (3D) semiconducting substrate is approximated by a narrow ladder model (NLM) with varying number of legs. We compute density distributions, gaps, charge density wave (CDW) order parameters, correlation functions, and the central charge using the density-matrix renormalization group method. Three ground-state phases are observed: a one-component Luttinger liquid, a quasi-one-dimensional (1D) CDW insulator, and a band insulator. We investigated the convergence of the NLM properties with increasing number of legs systematically and confirm that the NLM is a good approximation for the quasi-1D phases (Luttinger liquid and CDW) of the 3D wire-substrate model. The quantum phase transitions between these phases are investigated as function of the coupling between wire and substrate. The critical nearest-neighbor interaction increases with increasing coupling between wire and substrate and thus the substrate stabilizes the Luttinger liquid in the wire. Our study confirms that a Luttinger liquid or CDW insulator phase could occur in the low-energy properties of atomic wires deposited on semiconducting substrates.
AB - An interacting spinless fermion wire coupled to a three-dimensional (3D) semiconducting substrate is approximated by a narrow ladder model (NLM) with varying number of legs. We compute density distributions, gaps, charge density wave (CDW) order parameters, correlation functions, and the central charge using the density-matrix renormalization group method. Three ground-state phases are observed: a one-component Luttinger liquid, a quasi-one-dimensional (1D) CDW insulator, and a band insulator. We investigated the convergence of the NLM properties with increasing number of legs systematically and confirm that the NLM is a good approximation for the quasi-1D phases (Luttinger liquid and CDW) of the 3D wire-substrate model. The quantum phase transitions between these phases are investigated as function of the coupling between wire and substrate. The critical nearest-neighbor interaction increases with increasing coupling between wire and substrate and thus the substrate stabilizes the Luttinger liquid in the wire. Our study confirms that a Luttinger liquid or CDW insulator phase could occur in the low-energy properties of atomic wires deposited on semiconducting substrates.
KW - cond-mat.str-el
UR - http://www.scopus.com/inward/record.url?scp=85058933943&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.98.235138
DO - 10.1103/PhysRevB.98.235138
M3 - Article
VL - 98
JO - Phys. Rev. B
JF - Phys. Rev. B
SN - 1550-235X
IS - 23
M1 - 235138
ER -