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We present experimental results on the quantized Hall insulator in two dimensions. This insulator, with vanishing conductivities, is characterized by the quantization (within experimental accuracy) of the Hall resistance in units of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Hilke , D. Shahar , S. H. Song , D. C. Tsui , Y. H. Xie , M. Shayegan

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…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Nancy Sandler , Dmitrii L. Maslov

Luttinger liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter K. We suggest a setup…

Strongly Correlated Electrons · Physics 2007-10-23 P. Waechter , V. Meden , K. Schoenhammer

We have investigated hole transport in one-dimensional quantum wires in strained germanium two-dimensional layers. The ballistic conductance characteristics show the regular quantised plateaux in units of n2e2/h, where n is an integer.…

Mesoscale and Nanoscale Physics · Physics 2018-02-15 Y. Gul , S. N. Holmes , M. Myronov , S. Kumar , M. Pepper

We (re) consider in this paper the problem of tunneling through an impurity in a quantum wire with arbitrary Luttinger interaction parameter. By combining the integrable approach developed in the case of Quantum Hall edge states with the…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koutouza , F. Siano , H. Saleur

We study the conductance of a quantum wire in the presence of weak electron-electron scattering. In a sufficiently long wire the scattering leads to full equilibration of the electron distribution function in the frame moving with the…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 J. Rech , T. Micklitz , K. A. Matveev

We show that different universal values can be obtained for the two-terminal conductance of a fractional quantum Hall state. At large voltages, or strong coupling, the conductance of a point-like tunneling junction between an electron gas…

Condensed Matter · Physics 2008-02-03 Claudio de C. Chamon , Eduardo Fradkin

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Roberto Raimondi , Giovanni Vignale

Domain walls in fractional quantum Hall ferromagnets are gapless helical one-dimensional channels formed at the boundaries of topologically distinct quantum Hall (QH) liquids. Na\"{i}vely, these helical domain walls (hDWs) constitute two…

Mesoscale and Nanoscale Physics · Physics 2021-09-23 Ying Wang , Vadim Ponomarenko , Kenneth W. West , Kirk Baldwin , Loren N. Pfeiffer , Yuli Lyanda-Geller , Leonid P. Rokhinson

Luttinger liquid theory describes one-dimensional electron systems in terms of non-interacting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 K. A. Matveev , A. V. Andreev

Using a scattering technique based on a parametrized linear combination of atomic orbitals Hamiltonian, we calculate the ballistic quantum conductance of multi-wall carbon nanotubes. We find that inter-wall interactions not only block some…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Sanvito , Y. -K. Kwon , D. Tománek , C. J. Lambert

The quantum theory of conductivity of semiconductor objects, to which the quantum wells, wires and dots concern, is constructed. Average values of current and charge densities, induced by a weak electromagnetic field, are calculated. It is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. G. Lang , L. I. Korovin , J. A. de la Cruz Alcaz , S. T. Pavlov

We present a theoretical analysis of recent experimental results of Yacoby et al. on transport properties of high quality quantum wires. We suggest an explanation of observed deviations of the conductance from the universal value $2e^2/h$…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Anton Yu. Alekseev , Vadim V. Cheianov

We present a mean field theory of composite fermion edge channel transport in the fractional and integer quantum Hall regimes. An expression relating the electro-chemical potentials of composite fermions at the edges of a sample to those of…

Condensed Matter · Physics 2009-10-28 George Kirczenow , Brad L. Johnson

In a quantum wire with ideal helical modes, the conductance is quantized in units of e^2/h, provided the wire is connected to Fermi liquid leads. We show that this universality does not hold in partially gapped quasi-helical systems such as…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Tobias Meng , Daniel Loss

The frequency dependent conductance of a two-dimensional quantum wire is computed using a current conserving formalism. The correction to the dc-conductance due to a time-dependent potential is related to the local partial density of states…

Condensed Matter · Physics 2009-10-28 Jian Wang , Hong Guo

Short length quantum wires (quantum contacts) exhibit a conductance structure at the value of conductance close to 0.7 \times 2e^2/h. The structure is also called the conductance anomaly. In longer contacts the structure evolves to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. P. Sushkov

In the framework of the edge-channel picture and the scattering approach to conduction, we discuss the low frequency admittance of quantized Hall samples up to second order in frequency. The first-order term gives the leading order…

Condensed Matter · Physics 2007-05-23 M. Buttiker , T. Christen

We analyze thermal transport in the fractional quantum Hall effect (FQHE), employing a Luttinger liquid model of edge states. Impurity mediated inter-channel scattering events are incorporated in a hydrodynamic description of heat and…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher