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 language | English |
|---|---|
| Pages (from-to) | 73-83 |
| Number of pages | 11 |
| Journal | Physica E: Low-Dimensional Systems and Nanostructures |
| Volume | 58 |
| DOIs | |
| Publication status | Published - 1 Apr 2014 |
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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 journal › Article
}
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 -