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We develop a theoretical approach to the low-energy properties of 1D electron systems aimed to encompass the mixed features of Luttinger liquid and Coulomb blockade behavior observed in the crossover between the two regimes. For this aim we…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , J. Gonzalez , P. Onorato

We determine the zero-bias anomaly of the conductance of tunnel junctions by an approach unifying the conventional Coulomb blockade theory for ultrasmall junctions with the diffusive anomalies in disordered conductors. Both,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Joerg Rollbuehler , Hermann Grabert

Resonant tunneling between fractional quantum Hall edge states is studied in the Luttinger liquid picture. For the Laughlin parent states, the resonance line shape is a universal function whose width scales to zero at zero temperature.…

Condensed Matter · Physics 2009-10-22 K. Moon , H. Yi , C. L. Kane , S. M. Girvin , Matthew P. A. Fisher

We present an effective action approach for the problem of Coulomb blocking of tunneling. The method is applied to the ``strong coupling'' problem arising near zero bias, where perturbation theory diverges. By a semiclassical argument, we…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , A. V. Shytov

We study equilibration of quantum Hall edge states at integer filling factors, motivated by experiments involving point contacts at finite bias. Idealising the experimental situation and extending the notion of a quantum quench, we consider…

Strongly Correlated Electrons · Physics 2011-09-23 D. L. Kovrizhin , J. T. Chalker

The band-inverted electron-hole bilayers, such as InAs/GaSb, are an interesting playground for the interplay of quantum spin Hall effect and correlation effects because of the small density of electrons and holes and the relatively small…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Tania Paul , V. Fernández Becerra , Timo Hyart

We investigate spin-charge mixing effect on resonant tunneling in spin-polarized Tomonaga-Luttinger liquid with double impurities. The mixing arises from Fermi velocity difference between two spin species due to Zeeman effect. Zero bias…

Strongly Correlated Electrons · Physics 2007-05-23 Kenji Kamide , Yuji Tsukada , Susumu Kurihara

We report on the observation of a helical Luttinger-liquid in the edge of InAs/GaSb quantum spin Hall insulator, which shows characteristic suppression of conductance at low temperature and low bias voltage. Moreover, the conductance shows…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Tingxin Li , Pengjie Wang , Hailong Fu , Lingjie Du , Kate A. Schreiber , Xiaoyang Mu , Xiaoxue Liu , Gerard Sullivan , Gábor A. Csáthy , Xi Lin , Rui-Rui Du

Thermodynamic and transport properties of a two dimensional circular quantum dot are studied theoretically at zero magnetic field. In the limit of a large confining potential, where the dot spectrum exhibits a shell structure, it is argued…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Paula Rojt , Yigal Meir , Assa Auerbach

Spielman et al. have recently observed a large zero-bias peak in the tunnel conductance of a bi-layer system in a quantum Hall ferromagnet state. We argue that disorder-induced topological defects in the pseudospin order parameter limit the…

Condensed Matter · Physics 2009-10-31 Ady Stern , S. M. Girvin , A. H. MacDonald , Ning Ma

Motivated by recent tunneling experiments in the parallel wire geometry, we calculate results for momentum resolved tunneling into a short one-dimensional wire, containing a small number of electrons. We derive some general theorems about…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Jiang Qian , Yaroslav Tserkovnyak , Bertrand I. Halperin

The quantum Hall effect, which exhibits a number of unusual properties, is studied in a gated 1000-nm-thick HgTe film, nominally a three-dimensional system. A weak zero plateau of Hall resistance, accompanied by a relatively small value of…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 M. L. Savchenko , D. A. Kozlov , S. S. Krishtopenko , N. N. Mikhailov , Z. D. Kvon , A. Pimenov , D. Weiss

The concepts of an instanton vacuum and F-invariance are used to derive a complete effective theory of massless edge excitations in the quantum Hall effect. We establish, for the first time, the fundamental relation between the instanton…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 A. M. M. Pruisken , B. Skoric , M. A. Baranov

We consider a ring of strongly interacting electrons connected to two external leads by tunnel junctions. By studying the positions of conductance resonances as a function of gate voltage and magnetic flux the interaction parameter $g$ can…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Jari M. Kinaret , Mats Jonson , Robert I. Shekhter , Sebastian Eggert

We study the combined effect of finite temperature, underlying classical dynamics, and deformations on the statistical properties of Coulomb blockade conductance peaks in quantum dots. These effects are considered in the context of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Raul O. Vallejos , Caio H. Lewenkopf , Eduardo R. Mucciolo

We discuss an approximation for the dynamic charge response of nonlinear spin-1/2 Luttinger liquids in the limit of small momentum. Besides accounting for the broadening of the charge peak due to two-holon excitations, the nonlinearity of…

Strongly Correlated Electrons · Physics 2010-10-06 Rodrigo G. Pereira , Eran Sela

We consider a class of {\em quantum Hall topological insulators}: topologically nontrivial states with zero Chern number at finite magnetic field, in which the counter-propagating edge states are protected by a symmetry (spatial or spin)…

Strongly Correlated Electrons · Physics 2016-07-27 Maxim Kharitonov , Stefan Juergens , Björn Trauzettel

Topological quantum matter is characterized by non-trivial global invariants of the bulk which induce gapless electronic states at its boundaries. A case in point are two-dimensional topological insulators (2D-TI) which host one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 R. Stühler , F. Reis , T. Müller , T. Helbig , T. Schwemmer , R. Thomale , J. Schäfer , R. Claessen

We evaluate tunneling rates into/from a voltage biased quantum wire containing weak backscattering defect. Interacting electrons in such a wire form a true nonequilibrium state of the Luttinger liquid (LL). This state is created due to…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Stéphane Ngo Dinh , Dmitry A. Bagrets , Alexander D. Mirlin

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude
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