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In this talk I present a summary of recent work on tunnel junctions of a fractional quantum Hall fluid and an electron reservoir, a Fermi liquid. I consider first the case of a single point contact. This is a an exactly solvable problem…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eduardo Fradkin

The fractional quantum Hall (FQH) effect at the filling factor $\nu=5/2$ was discovered in GaAs heterostructures more than 35 years ago. Various topological orders have been proposed as possible candidates to describe this FQH state. Some…

Mesoscale and Nanoscale Physics · Physics 2023-08-23 Ken K. W. Ma , Michael R. Peterson , V. W. Scarola , Kun Yang

We report experiments on temperature and Hall voltage bias dependence of the superperiodic conductance oscillations in the novel Laughlin quasiparticle interferometer, where quasiparticles of the 1/3 fractional quantum Hall fluid execute a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , W. Zhou , V. J. Goldman

At total filling factor $\nu_T=1$, interlayer phase coherence in quantum Hall bilayers can result in a tunneling anomaly resembling the Josephson effect in the presence of strong fluctuations. The most robust experimental signature of this…

Mesoscale and Nanoscale Physics · Physics 2011-10-19 Timo Hyart , Bernd Rosenow

In hydrodynamics the existence of an entropy current with non-negative divergence is related to the existence of a time-independent solution in a static background. Recently there has been a proposal for how to construct an entropy current…

High Energy Physics - Theory · Physics 2015-06-19 Sayantani Bhattacharyya

Recently, Hawking radiation of the black hole has been studied using the tunnel effect method. It is found that the radiation spectrum of the black hole is not a strictly pure thermal spectrum. How does the departure from pure thermal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zhao Ren , Zhang Sheng-Li

A theoretical calculation is presented of current noise which is due charge fractionalization, in two interacting edge channels in the integer quantum Hall state at filling factor $\nu=2$. Because of the capacitive coupling between the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Izhar Neder

The quantum Hall (QH) effect represents a unique playground where quantum coherence of electrons can be exploited for various applications, from metrology to quantum computation. In the fractional regime it also hosts anyons, emergent…

Mesoscale and Nanoscale Physics · Physics 2021-09-30 Matteo Carrega , Luca Chirolli , Stefan Heun , Lucia Sorba

Some theories predict that the filling factor 5/2 fractional quantum Hall state can exhibit non-Abelian statistics, which makes it a candidate for fault-tolerant topological quantum computation. Although the non-Abelian Pfaffian state and…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 Hailong Fu , Pengjie Wang , Pujia Shan , Lin Xiong , Loren N. Pfeiffer , Ken West , Marc A. Kastner , Xi Lin

We investigate the quasiparticle excitation of the bilayer quantum Hall (QH) system at total filling factor $\nu_{\mathrm{T}} = 1$ in the limit of negligible interlayer tunneling under tilted magnetic field. We show that the intrinsic…

Strongly Correlated Electrons · Physics 2010-02-19 P. Giudici , K. Muraki , N. Kumada , T. Fujisawa

In two dimensions, the laws of physics permit existence of anyons, particles with fractional statistics which is neither Fermi nor Bose. That is, upon exchange of two such particles, the quantum state of a system acquires a phase which is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , Wei Zhou , V. J. Goldman

Strongly interacting electrons in a topologically non trivial band may form exotic phases of matter. An especially intriguing example of which is the fractional quantum anomalous Hall phase, recently discovered in twisted transition metal…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Gal Shavit

We explain how (perturbed) boundary conformal field theory allows us to understand the tunneling of edge quasiparticles in non-Abelian topological states. The coupling between a bulk non-Abelian quasiparticle and the edge is due to resonant…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

Confinement of small-gapped fractional quantum Hall states facilitates quasiparticle manipulation and is an important step towards quasiparticle interference measurements. Demonstrated here is conduction through top gate defined, narrow…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. L. Willett , M. J. Manfra , L. N. Pfeiffer , K. W. West

We discuss the emergence of non-Abelian zero modes from twist defects in Abelian topological phases. We consider a setup built from a fractional quantum Hall (or a fractional Chern insulator)-superconductor heterostructure, which…

Strongly Correlated Electrons · Physics 2025-12-03 Gustavo M. Yoshitome , Pedro R. S. Gomes

A key property of topologically ordered systems, such as Quantum Hall states, is the existence of excitations obeying fractional quantum statistics - anyons. We develop a theory for multicomponent counterflow states where an ordinary…

Strongly Correlated Electrons · Physics 2026-03-18 Jun-Xiao Hui , T. H. Hansson , Egor Babaev

Thermodynamics and kinetics of lithium intercalation into C--SiO$_2$ nanocomposites are investigated. Dependencies of both differential capacity and intercalation kinetics on the nanocomposite size are established. The processes are…

Mesoscale and Nanoscale Physics · Physics 2011-06-28 B. A. Lukiyanets , D. V. Matulka , I. I. Grygorchak

Photocurrent acts as one of measurable responses of material to light, which has proved itself to be crucial for sensing and energy harvesting. Topological semimetals with gapless energy dispersion and abundant topological surface and bulk…

Mesoscale and Nanoscale Physics · Physics 2023-04-21 Po-Hsin Shih , Thi-Nga Do , Godfrey Gumbs , Danhong Huang , Hsin Lin , Tay-Rong Chang

Even-denominator quantum Hall states can host several types of anyons with distinct exchange statistics. Depending on the anyon type, exchanging two quasiparticles can impart a phase to the many-body wave function or even transform it into…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Jehyun Kim , Amit Shaer , Ravi Kumar , Alexey Ilin , Kenji Watanabe , Takashi Taniguchi , Ady Stern , David F. Mross , Yuval Ronen

It has been predicted that the phase sensitive part of the current through a non-abelian $\nu = 5/2$ quantum Hall Fabry-Perot interferometer will depend on the number of localized charged $e/4$ quasiparticles (QPs) inside the interferometer…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Bernd Rosenow , Bertrand I. Halperin , Steven H. Simon , Ady Stern