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The transport through a barrier is studied for a Tomonaga-Luttinger liquid of finite length connected to reservoirs. An effective action for the phase variable at the barrier is derived for spatially varying electric field. In the d.c.…

Condensed Matter · Physics 2009-10-28 Akira Furusaki , Naoto Nagaosa

We study transport through a quantum dot side-coupled to two parallel Luttinger liquid leads in the presence of a Coulombic dot-lead interaction. This geometry enables an exact treatment of the inter-lead Coulomb interactions. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Florian Elste , David Reichman , Andrew Millis

We compute the zero frequency current noise numerically and in several limits analytically for the coulomb blockade problem consisting of two tunnel junctions connected in series. At low temperatures over a wide range of voltages,…

Dynamic conductance and time-of-flight current instability in a quantum wire connected to electron reservoirs under DC bias voltage are studied in the absence of a gate screening the Coulomb interaction of electrons. Due to a strong…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Bagun S. Shchamkhalova , Vladimir A. Sablikov

We study the noise of the cotunneling current through one or several tunnel-coupled quantum dots in the Coulomb blockade regime. The various regimes of weak and strong, elastic and inelastic cotunneling are analyzed for quantum-dot systems…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eugene V. Sukhorukov , Guido Burkard , Daniel Loss

We use a novel technique to experimentally explore transport properties through a single metallic nanoparticle with variable coupling to electric leads. For strong dot-lead coupling the conductance is an oscillatory function of the gate…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 O. Bitton , A. Frydman , R. Berkovits , D. B. Gutman

The conductance through a finite quantum dot network is studied as a function of inter-dot coupling. As the coupling is reduced, the system undergoes a transition from the antidot regime to the tight binding limit, where Coulomb resonances…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 August Dorn , Thomas Ihn , Klaus Ensslin , Werner Wegscheider , Max Bichler

In nodal-line semimetals, Coulomb interactions and short-range correlated disorder are both marginal perturbations to the clean non-interacting Hamiltonian. We analyze their interplay using a weak-coupling renormalization group approach. In…

Strongly Correlated Electrons · Physics 2017-09-28 Yuxuan Wang , Rahul M. Nandkishore

We propose a formalism which uses boundary conditions imposed on the Luttinger liquid (LL) to describe the transport properties of a LL coupled to reservoirs. The various boundary conditions completely determine linear transport in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K-V Pham , F. Piechon , K-I Imura , P. Lederer

Electron transport through a single-level quantum dot weakly coupled to Luttinger liquid leads is considered in the master equation approach. It is shown that for a weak or moderately strong interaction the differential conductance…

Strongly Correlated Electrons · Physics 2013-02-06 G. A. Skorobagatko , I. V. Krive

We consider a tunnel junction formed between a fixed electrode and an oscillating one. Accumulation of the charge on the junction capacitor induces a force on the nano-mechanical oscillator. The junction is voltage biased and connected in…

Mesoscale and Nanoscale Physics · Physics 2009-02-06 N. Pauget , F. Pistolesi , M. Houzet

An interplay between charge discreteness, coherent scattering and Coulomb interaction yields nontrivial effects in quantum transport. We derive a real time effective action and an equivalent quantum Langevin equation for an arbitrary…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Dmitrii S. Golubev , Andrei D. Zaikin

In this paper we review recent theoretical results for transport in a one-dimensional (1d) Luttinger liquid. For simplicity, we ignore electron spin, and focus exclusively on the case of a single-mode. Moreover, we consider only the effects…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Matthew P. A. Fisher , Leonid I. Glazman

We consider theoretically the transport properties of a spinless resonant electronic level coupled to strongly dissipative leads, in the regime of circuit impedance near the resistance quantum. Using the Luttinger liquid analogy, one…

Mesoscale and Nanoscale Physics · Physics 2014-07-02 Huaixiu Zheng , Serge Florens , Harold U. Baranger

A systematic study is made on the time-dependent dynamic transport characteristics of the side-coupled double quantum-impurity system based on the hierarchical equations of motion. It is found that the transport current behaves like a…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 YiJie Wang , JianHua Wei

We study the tunneling current through a mesoscopic two-terminal ring with spin-orbit coupling, which is threaded by a magnetic flux. The electron-electron interaction in the ring is described in terms of a Tomonaga-Luttinger model which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pletyukhov , V. Gritsev , N. Pauget

Frequency dependent conductivity of Coulomb interacting massless Dirac fermions coupled to random scalar and random vector potentials is found as a function of frequency in the regime controlled by a line of fixed points. Such model…

Disordered Systems and Neural Networks · Physics 2008-10-22 Oskar Vafek

Transport through two quantum dots laterally embedded in Aharonov-Bohm interferometry with infinite intradot and arbitrary interdot Coulomb repulsion is analyzed in the weak coupling and Coulomb blockade regime. By employing the modified…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jing Ma , Bing Dong , X. L. Lei

The model of interacting fermion systems in one dimension known as Tomonaga-Luttinger liquid (TLL) provides a simple and exactly solvable theoretical framework, predicting various intriguing physical properties. Evidence of TLL has been…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Hiroshi Kamata , Norio Kumada , Masayuki Hashisaka , Koji Muraki , Toshimasa Fujisawa

We have analyzed Coulomb drag between currents of interacting electrons in two parallel one-dimensional conductors of finite length $L$ attached to external reservoirs. For strong coupling, the relative fluctuations of electron density in…

Condensed Matter · Physics 2009-10-31 Vadim Ponomarenko , Dmitri Averin
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