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We derive, from first principles, the complete Luttinger liquid theory of abelian quantum Hall edge states. This theory includes the effects of disorder and Coulomb interactions as well as the coupling to external electromagnetic fields. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Skoric , A. M. M. Pruisken

We examine the local density of states of an impurity level or a quantum dot coupled to a fractional quantum Hall edge, or to the end of a single one-dimensional Luttinger-liquid lead. Effects of an Ohmic dissipative bath are also taken…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Richard Berkovits

Band structures of electrons in a periodic potential are well-known to host topologies that impact their behaviors at edges and interfaces. The concept however is more general than the single-electron setting. In this work, we consider…

Mesoscale and Nanoscale Physics · Physics 2024-10-16 Luis Brey , H. A. Fertig

We present experimental results on the tunneling into the edge of a two dimensional electron gas (2DEG) obtained with a GaAs/AlGaAs cleaved edge overgrown structure in a strong perpendicular magnetic field. While the 2DEG exhibits typical…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Hilke , D. C. Tsui , M. Grayson , L. N. Pfeiffer , K. W. West

We analyze the time evolution of spin-polarized electron wave packets injected into the edge states of a two-dimensional topological insulator. In the presence of electron interactions, the system is described as a helical Luttinger liquid…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Alessio Calzona , Matteo Carrega , Giacomo Dolcetto , Maura Sassetti

Defect modes are investigated in a band gap of an electrically tunable one-dimensional photonic crystal infiltrated with a twisted-nematic liquid crystal (1D PC/TN). Their frequency shift and interference under applied voltage are studied…

Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional spinful fermionic system with open boundaries and subject to a finite-duration quench of the inter-particle interaction. Taking…

Strongly Correlated Electrons · Physics 2017-07-13 F. M. Gambetta , S. Porta

The collective excitation of the conduction electrons in subwavelength structures gives rise to the Localized Surface Plasmon(LSP). The system consisting of two such LSPs, known as the dimer system,is of fundamental interest and is being…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 Bo Liu , Eric J. Heller

Strongly intermittent turbulence is observed in the shadow of a limiter in the Large Plasma Device (LAPD) at UCLA [W. Gekelman, H. Pfister, Z. Lucky, J. Bamber, D. Leneman, and J. Maggs, Rev. Sci. Inst. {\bfseries 62}, 2875 (1991)]. The…

Plasma Physics · Physics 2009-11-11 T. A. Carter

Time-dependent perturbations can drive a trivial two-dimensional band insulator into a quantum Hall-like phase, with protected nonequilibrium states bound to its edges. We propose an experiment to probe the existence of these topological…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Benjamin M. Fregoso , Jan P. Dahlhaus , Joel E. Moore

In a recent experiment, Milliken {\em et al.} demonstrated possible evidence for a Luttinger liquid through measurements of the tunneling conductance between edge states in the $\nu=1/3$ quantum Hall plateau. However, at low temperatures, a…

Condensed Matter · Physics 2009-10-28 K. Moon , S. M. Girvin

Surface plasmons in 2-dimensional electron systems with narrow Bloch bands feature an interesting regime in which Landau damping (dissipation via electron-hole pair excitation) is completely quenched. This surprising behavior is made…

Mesoscale and Nanoscale Physics · Physics 2019-10-14 Cyprian Lewandowski , Leonid Levitov

We present an extension of the Tomonaga-Luttinger model in which left and right-moving particles have different Fermi velocities. We derive expressions for one-particle Green's functions, momentum-distributions, density of states, charge…

Strongly Correlated Electrons · Physics 2016-08-16 Victoria I. Fernández , Aníbal Iucci , Carlos M. Naón

The fundamental problem of phase saturation of electrons in a disordered mesoscopic system at very low temperatures is addressed. The disorder in the medium has both static and dynamic components, the latter being in the form of two-level…

Condensed Matter · Physics 2009-11-07 Vipin Srivastava , Raishma Krishnan

We consider the injection of a controlled charge from a normal metal into an edge state of the fractional quantum Hall effect, with a time-dependent voltage $V(t)$. Using perturbative calculations in the tunneling limit, and a chiral…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thibaut Jonckheere , Marjorie Creux , Thierry Martin

Gap plasmonics deals with the properties of surface plasmons in the narrow region between two metallic nanoparticles forming the gap. For sub-nanometer gap distances electrons can tunnel between the nanoparticles leading to the emergence of…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Ulrich Hohenester , Claudia Draxl

We consider interaction of an electron with a Bose condensate of atoms having electron affinity. Though states of the electron attached to atoms form a continuous band, tunneling through this band is strongly suppressed by quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. M. Akulin , Yu. E. Lozzovik , I. E. Mazets , A. G. Rudavets , A. Sarfati

We address the inhibition of tunnelling in polariton condensates confined in a potential landscape created by a honeycomb array of microcavity pillars in the presence of spin-orbit coupling and Zeeman splitting in the external magnetic…

We consider tunneling of electromagnetic waves through a polariton band gap of a 1-D chain of atoms. We analytically show that a defect embedded in the structure gives rise to the resonance transmission at the frequency of a local polariton…

Disordered Systems and Neural Networks · Physics 2009-10-31 Lev I. Deych , A. Yamilov , A. A. Lisyansky

We analytically investigate the plasmons propagating in a homogeneous two-dimensional (2D) electron system, along the metal grating in the form of a periodic array of strip-shaped electrodes (gates) in the vicinity of the 2D system. We show…

Mesoscale and Nanoscale Physics · Physics 2024-09-24 A. V. Nikonov , A. A. Zabolotnykh , V. A. Volkov