Dynamic regime of electron transport in correlated one-dimensional conductor with defect

S. N. Artemenko, P. P. Aseev, D. S. Shapiro, R. R. Vakhitov

Research output: Contribution to journalArticle

Abstract

The electron transport in a 1D conductor with an isolated local defect such as an impurity or a non-adiabatic contact is studied theoretically. A new regime of conduction in correlated 1D systems is predicted beyond the well-known regime of tunneling resulting in the power-law I-V-curves. In this regime a quantum wire becomes "opened" at a voltage bias above the threshold value determined by 2kF-component of impurity potential renormalized by fluctuations, giving rise to a rapid increase of the dc current, Ī, accompanied by ac oscillations of frequency f=Ī/e. Manifestations of the effect resemble the Coulomb blockade and the Josephson effect. The spin bias applied to the system affects the I-V curves due to violation of the spin-charge separation at the defect site. The 1D conductor is described in terms of the Tomonaga-Luttinger Hamiltonian with short range or long-range Coulomb interaction by means of the bosonization technique. We derive boundary conditions that take into account relaxation in the leads and permit to solve non-equilibrium problems. Charge fluctuations are studied by means of Gaussian model which can be justified strictly in the limit of large voltages or strong inter-electronic repulsion. Spin fluctuations are taken into account strictly by means of the refermionization technique applicable in the case of spin-rotation invariant interaction.

Original languageEnglish
Pages (from-to)73-83
Number of pages11
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Volume58
DOIs
Publication statusPublished - 1 Apr 2014

Fingerprint

conductors
Impurities
Coulomb blockade
Hamiltonians
Spin fluctuations
Defects
Semiconductor quantum wires
defects
Bias voltage
Coulomb interactions
electrons
Boundary conditions
impurities
Josephson effect
Electric potential
electric potential
curves
polarization (charge separation)
quantum wires
interactions

Keywords

  • Impurity
  • Luttinger liquid
  • Quantum wire

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics

Cite this

Dynamic regime of electron transport in correlated one-dimensional conductor with defect. / Artemenko, S. N.; Aseev, P. P.; Shapiro, D. S.; Vakhitov, R. R.

In: Physica E: Low-Dimensional Systems and Nanostructures, Vol. 58, 01.04.2014, p. 73-83.

Research output: Contribution to journalArticle

@article{90daa41a1f9b491e8fc2c1e69c38edd2,
title = "Dynamic regime of electron transport in correlated one-dimensional conductor with defect",
abstract = "The electron transport in a 1D conductor with an isolated local defect such as an impurity or a non-adiabatic contact is studied theoretically. A new regime of conduction in correlated 1D systems is predicted beyond the well-known regime of tunneling resulting in the power-law I-V-curves. In this regime a quantum wire becomes {"}opened{"} at a voltage bias above the threshold value determined by 2kF-component of impurity potential renormalized by fluctuations, giving rise to a rapid increase of the dc current, Ī, accompanied by ac oscillations of frequency f=Ī/e. Manifestations of the effect resemble the Coulomb blockade and the Josephson effect. The spin bias applied to the system affects the I-V curves due to violation of the spin-charge separation at the defect site. The 1D conductor is described in terms of the Tomonaga-Luttinger Hamiltonian with short range or long-range Coulomb interaction by means of the bosonization technique. We derive boundary conditions that take into account relaxation in the leads and permit to solve non-equilibrium problems. Charge fluctuations are studied by means of Gaussian model which can be justified strictly in the limit of large voltages or strong inter-electronic repulsion. Spin fluctuations are taken into account strictly by means of the refermionization technique applicable in the case of spin-rotation invariant interaction.",
keywords = "Impurity, Luttinger liquid, Quantum wire",
author = "Artemenko, {S. N.} and Aseev, {P. P.} and Shapiro, {D. S.} and Vakhitov, {R. R.}",
year = "2014",
month = "4",
day = "1",
doi = "10.1016/j.physe.2013.11.010",
language = "English",
volume = "58",
pages = "73--83",
journal = "Physica E: Low-Dimensional Systems and Nanostructures",
issn = "1386-9477",
publisher = "Elsevier",

}

TY - JOUR

T1 - Dynamic regime of electron transport in correlated one-dimensional conductor with defect

AU - Artemenko, S. N.

AU - Aseev, P. P.

AU - Shapiro, D. S.

AU - Vakhitov, R. R.

PY - 2014/4/1

Y1 - 2014/4/1

N2 - The electron transport in a 1D conductor with an isolated local defect such as an impurity or a non-adiabatic contact is studied theoretically. A new regime of conduction in correlated 1D systems is predicted beyond the well-known regime of tunneling resulting in the power-law I-V-curves. In this regime a quantum wire becomes "opened" at a voltage bias above the threshold value determined by 2kF-component of impurity potential renormalized by fluctuations, giving rise to a rapid increase of the dc current, Ī, accompanied by ac oscillations of frequency f=Ī/e. Manifestations of the effect resemble the Coulomb blockade and the Josephson effect. The spin bias applied to the system affects the I-V curves due to violation of the spin-charge separation at the defect site. The 1D conductor is described in terms of the Tomonaga-Luttinger Hamiltonian with short range or long-range Coulomb interaction by means of the bosonization technique. We derive boundary conditions that take into account relaxation in the leads and permit to solve non-equilibrium problems. Charge fluctuations are studied by means of Gaussian model which can be justified strictly in the limit of large voltages or strong inter-electronic repulsion. Spin fluctuations are taken into account strictly by means of the refermionization technique applicable in the case of spin-rotation invariant interaction.

AB - The electron transport in a 1D conductor with an isolated local defect such as an impurity or a non-adiabatic contact is studied theoretically. A new regime of conduction in correlated 1D systems is predicted beyond the well-known regime of tunneling resulting in the power-law I-V-curves. In this regime a quantum wire becomes "opened" at a voltage bias above the threshold value determined by 2kF-component of impurity potential renormalized by fluctuations, giving rise to a rapid increase of the dc current, Ī, accompanied by ac oscillations of frequency f=Ī/e. Manifestations of the effect resemble the Coulomb blockade and the Josephson effect. The spin bias applied to the system affects the I-V curves due to violation of the spin-charge separation at the defect site. The 1D conductor is described in terms of the Tomonaga-Luttinger Hamiltonian with short range or long-range Coulomb interaction by means of the bosonization technique. We derive boundary conditions that take into account relaxation in the leads and permit to solve non-equilibrium problems. Charge fluctuations are studied by means of Gaussian model which can be justified strictly in the limit of large voltages or strong inter-electronic repulsion. Spin fluctuations are taken into account strictly by means of the refermionization technique applicable in the case of spin-rotation invariant interaction.

KW - Impurity

KW - Luttinger liquid

KW - Quantum wire

UR - http://www.scopus.com/inward/record.url?scp=84890510581&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84890510581&partnerID=8YFLogxK

U2 - 10.1016/j.physe.2013.11.010

DO - 10.1016/j.physe.2013.11.010

M3 - Article

AN - SCOPUS:84890510581

VL - 58

SP - 73

EP - 83

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

SN - 1386-9477

ER -