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The edge modes of fractional quantum Hall liquids are described by chiral Luttinger liquid theory. Despite many years of experimental investigation fractional quantum Hall edge modes remain enigmatic with significant discrepancies between…

We show that two-terminal transport can measure the Luttinger liquid (LL) parameter $K$, in helical LLs at the edges of two dimensional topological insulators (TIs) with Rashba spin-orbit coupling. We consider a Coulomb drag geometry with…

Mesoscale and Nanoscale Physics · Physics 2015-10-30 Yang-Zhi Chou , Alex Levchenko , Matthew S. Foster

We present a detailed theory of transport through line junctions formed by counterpropagating single-branch fractional-quantum-Hall edge channels having different filling factors. Intriguing transport properties are exhibited when strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , E. Shimshoni

The unique properties of quantum Hall devices arise from the ideal one-dimensional edge states that form in a two-dimensional electron system at high magnetic field. Tunnelling between edge states across a quantum point contact (QPC) has…

Mesoscale and Nanoscale Physics · Physics 2013-05-10 F. Martins , S. Faniel , B. Rosenow , H. Sellier , S. Huant , M. G. Pala , L. Desplanque , X. Wallart , V. Bayot , B. Hackens

We study the Coulomb blockade of tunneling through a double quantum dot. The temperature dependence of the linear conductance is strongly affected by the inter-dot tunneling. As the tunneling grows, a crossover from temperature-independent…

Condensed Matter · Physics 2009-10-28 K. A. Matveev , L. I. Glazman , H. U. Baranger

We study transport across a point contact separating two line junctions in a \nu = 5/2 quantum Hall system. We analyze the effect of inter-edge Coulomb interactions between the chiral bosonic edge modes of the half-filled Landau level…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Sourin Das , Sumathi Rao , Diptiman Sen

We develop in this paper a theoretical framework that applies to the intermediate regime between the Coulomb blockade and the Luttinger liquid behavior in multi-walled carbon nanotubes. Our main goal is to confront the experimental…

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

We study the transport through two impurities or ``barriers'' in a one-dimensional quantum wire, taking into account the long-range $\frac1r$ Coulomb interactions. We compute the temperature-dependent conductance $G(T)$ of this system.…

Condensed Matter · Physics 2009-10-28 Hélène Maurey , Thierry Giamarchi

We explore the characteristics of equilibrium tunneling of electrons from a 3D electrode into a high mobility 2D electron system. For most 2D Landau level filling factors, we find that tunneling can be characterized by a single,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. B. Chan , R. C. Ashoori , L. N. Pfeiffer , K. W. West

We have studied a clean finite-length line junction between interacting counterpropagating single-branch fractional-quantum-Hall edge channels. Exact solutions for low-lying excitations and transport properties are obtained when the two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Zuelicke , E. Shimshoni

We consider electron transport through a quantum point contact between compressible Quantum Hall liquids and derive the contact's impedance function for both diffusive and ballistic regimes of the bulk electron motion. In either regime, the…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko

Electron tunneling into a system with strong interactions is known to exhibit an anomaly, in which the tunneling conductance vanishes continuously at low energy due to many-body interactions. Recent measurements have probed this anomaly in…

Strongly Correlated Electrons · Physics 2018-05-17 Debanjan Chowdhury , Brian Skinner , Patrick A. Lee

Luttinger liquid behavior was observed in a crossed junction formed with two metallic multi-wall carbon nanotubes whose differential conductance vanished with the power of bias voltage and temperature. With applying constant voltage or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jinhee Kim , Kicheon Kang , Jeong-O Lee , Kyung-Hwa Yoo , Jae-Ryoung Kim , Jong Wan Park , Hye Mi So , Ju-Jin Kim

We model one-dimensional transport through each open channel of a quantum wire by a Luttinger liquid with three different interaction parameters for the leads, the contact regions and the wire, and with two barriers at the contacts. We show…

Strongly Correlated Electrons · Physics 2009-10-31 Siddhartha Lal , Sumathi Rao , Diptiman Sen

We show that the interlayer tunneling I--V in double-layer quantum Hall states displays a rich behavior which depends on the relative magnitude of sample size, voltage length scale, current screening, disorder and thermal lengths. For weak…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Leon Balents , Leo Radzihovsky

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

Tunneling spectroscopy reveals evidence for interlayer electron-hole correlations in quantum Hall bilayer two-dimensional electron systems at layer separations near, but above, the transition to the incompressible exciton condensate at…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We present a microscopic model for a line junction formed by counter or co-propagating single mode quantum Hall edges corresponding to different filling factors. The ends of the line junction can be described by two possible current…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Diptiman Sen , Amit Agarwal

We study the intra-planar tunneling between quantum Hall samples separated by a quasi one-dimensional barrier, induced through the interaction of edge degrees of freedom with the charge density waves of a Hall crystal defined in a parallel…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. Moriconi

Motivated by recent experimental findings, we study transport in a simple phenomenological model of a quantum Hall edge system with a gate-voltage controlled constriction lowering the local filling factor. The current backscattered from the…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Siddhartha Lal
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