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We study tunneling between two nearby cleaved edge quantum wires in a perpendicular magnetic field. Due to Coulomb forces between electrons, the wires form a strongly-interacting pair of Luttinger liquids. We calculate the low-temperature…

强关联电子 · 物理学 2009-11-07 D. Carpentier , C. Peca , L. Balents

The temperature dependence of Coulomb blockade peaks of a one dimensional quantum dot is calculated. The Coulomb interaction is treated microscopically using the Luttinger liquid model. The electron interaction is assumed to be…

介观与纳米尺度物理 · 物理学 2017-08-23 T. Kleimann , M. Sassetti , B. Kramer

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

强关联电子 · 物理学 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

We study electronic transport through a one-dimensional, finite-length quantum wire of correlated electrons (Luttinger liquid) coupled at arbitrary position via tunnel barriers to two semi-infinite, one-dimensional as well as stripe-like…

强关联电子 · 物理学 2015-05-13 P. Wächter , V. Meden , K. Schönhammer

The transport properties of a tunnel barrier in a one-dimensional wire are investigated at finite voltages and temperatures. We generalize the Luttinger model to account for finite ranges of the interaction. This leads to deviations from…

介观与纳米尺度物理 · 物理学 2009-10-30 Margit Steiner , Wolfgang Häusler

Recent experiments have revealed that the temperature dependence of the conductance of quasi-ballistic quantum wires bears clear features of the Luttinger-liquid state. In this paper, the conductance of an N-channel quantum wire is…

介观与纳米尺度物理 · 物理学 2009-10-30 Nancy Sandler , Dmitrii L. Maslov

We analyze a single electron transistor composed of two semi-infinite one dimensional quantum wires and a relatively short segment between them. We describe each wire section by a Luttinger model, and treat tunneling events in the…

强关联电子 · 物理学 2009-11-10 Jaeuk U. Kim , Ilya V. Krive , Jari M. Kinaret

We demonstrate that in a wide range of temperatures Coulomb drag between two weakly coupled quantum wires is dominated by processes with a small interwire momentum transfer. Such processes, not accounted for in the conventional Luttinger…

介观与纳米尺度物理 · 物理学 2007-05-23 M. Pustilnik , E. G. Mishchenko , L. I. Glazman , A. V. Andreev

Luttinger liquids occupy a special place in physics as the most understood case of essentially quantum many-body systems. The experimental mission of measuring its main prediction, power laws in observable quantities, has already produced a…

We discuss the Luttinger Liquid behaviour of a semiconducting Quantum Wire. We show that the measured value of the bulk critical exponent, $\alpha_{bulk}$, for the tunneling density of states can be easily calculated. Then, the problem of…

介观与纳米尺度物理 · 物理学 2016-08-31 S. Bellucci , P. Onorato

The paper addresses the problem whether and how it is possible to detect the Luttinger-liquid behavior from the $IV$ curves for tunneling to 1D or quasi-1D conductors. The power-law non-ohmic $IV$ curve, which is usually considered as a…

介观与纳米尺度物理 · 物理学 2019-10-09 E. B. Sonin

We study the effect of Coulomb interactions on the conductance of a single-mode quantum wire connecting two bulk leads. When the density of electrons in the wire is very low, they arrange in a finite-length Wigner crystal. In this regime…

介观与纳米尺度物理 · 物理学 2010-07-23 K. A. Matveev

Power laws in physics have until now always been associated with a scale invariance originating from the absence of a length scale. Recently, an emergent invariance even in the presence of a length scale has been predicted by the…

介观与纳米尺度物理 · 物理学 2019-07-03 Y. Jin , O. Tsyplyatyev , M. Moreno , A. Anthore , W. K. Tan , J. P. Griffiths , I. Farrer , D. A. Ritchie , L. I. Glazman , A. J. Schofield , C. J. B. Ford

In a one dimensional electron gas at low enough density, the magnetic (spin) exchange energy $J$ between neighboring electrons is exponentially suppressed relative to the characteristic charge energy, the Fermi energy $E_F$. At non-zero…

介观与纳米尺度物理 · 物理学 2007-05-23 Gregory A. Fiete , Karyn Le Hur , Leon Balents

We develop a linear theory of electron transport for a system of two identical quantum wires in a wide range of the wire length L, unifying both the ballistic and diffusive transport regimes. The microscopic model, involving the interaction…

介观与纳米尺度物理 · 物理学 2009-10-31 O. E. Raichev , P. Vasilopoulos

We develop a theory of tunneling spectroscopy of interacting electrons in a non-equilibrium quantum wire coupled to reservoirs. The problem is modelled as an out-of-equilibrium Luttinger liquid with spatially dependent interaction. The…

介观与纳米尺度物理 · 物理学 2009-07-09 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We investigate discrepancies between recent experimental results on transport through one-dimensional quantum dots and universal power laws predicted by an idealized Luttinger Liquid description. The temperature dependence of Coulomb…

介观与纳米尺度物理 · 物理学 2007-05-23 T. Kleimann , J. Stockburger , M. Sassetti , B. Kramer

One-dimensional Coulomb drag has been an essential tool to probe the physics of interacting Tomonaga-Luttinger liquids. To date, most experimental work has focused on the linear regime while the predictions for Luttinger liquids beyond the…

介观与纳米尺度物理 · 物理学 2025-07-25 Mingyang Zheng , Rebika Makaju , Rasul Gazizulin , Alex Levchenko , Sadhvikas J. Addamane , Dominique Laroche

One-dimensional metals, such as quantum wires or carbon nanotubes, can carry charge in arbitrary units, smaller or larger than a single electron charge. However, according to Luttinger theory, which describes the low-energy excitations of…

强关联电子 · 物理学 2025-12-31 Karyn Le Hur , Bertrand I. Halperin , Amir Yacoby

The influence of Coulomb interaction on the electron transport through molecular wires is studied in the regime of incoherent tunneling. In the limit of strong Coulomb repulsion, the current for spinless electrons is determined. It is shown…

化学物理 · 物理学 2007-05-23 Jörg Lehmann , Gert-Ludwig Ingold , Peter Hänggi
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