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We study the effect of backward scatterings in the tunneling at a point contact between the edges of a second level hierarchical fractional quantum Hall states. A universal scaling dimension of the tunneling conductance is obtained only…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 K. Imura , N. Nagaosa

We present an effective theory for the bulk fractional quantum Hall states on the Jain sequences on closed surfaces and show that it has a universal form whose structure does not change from fraction to fraction. The structure of this…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ana Lopez , Eduardo Fradkin

Chiral gapless boundary modes are characteristic of quantum Hall (QH) states. For hole-conjugate fractional QH phases counterpropagating edge modes (upstream and downstream) are expected. In the presence of electrostatic interactions and…

Mesoscale and Nanoscale Physics · Physics 2022-10-04 Udit Khanna , Moshe Goldstein , Yuval Gefen

In the weak backscattering limit, point contact tunneling between quantum Hall edges is well described by a Poissonian process where Laughlin quasiparticles tunnel independently, leading to the unambiguous measurement of their fractional…

Condensed Matter · Physics 2009-10-31 H. Saleur , U. Weiss

The edge states of the quantum Hall and fractional quantum Hall effect of a two-dimensional electron gas provide key access to the excitations of the bulk. Here we demonstrate controlled transmission of edge states in bilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing Li , Hua Wen , Kenji Watanabe , Takashi Taniguchi , Jun Zhu

Edges of quantum Hall phases give rise to a multitude of exotic modes supporting quasiparticles of different values of charge and quantum statistics. Among these are neutralons (chargeless anyons with semion statistics), which were found to…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen

Phase transitions to absorbing states are among the simplest examples of critical phenomena out of equilibrium. The characteristic feature of these models is the presence of a fluctuationless configuration which the dynamics cannot leave,…

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

We describe solvable models that capture how impurity scattering in certain fractional quantum Hall edges can give rise to a neutral mode --- i.e. an edge mode that does not carry electric charge. These models consist of two…

Strongly Correlated Electrons · Physics 2018-07-23 Chris Heinrich , Michael Levin

We consider the dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect. Using perturbation theory, we show that this rate has an anomalous dependence on the bias…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thi Kim Thanh Nguyen , Adeline Crepieux , Thibaut Jonckheere , Ai Viet Nguyen , Yeoshua Levinson , Thierry Martin

Among the predicted properties of fractional quantum Hall states are fractionally charged quasiparticles and conducting edge-states described as chiral Luttinger liquids. In a system with a narrow constriction, tunneling of quasi-particles…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Rosenow , B. I. Halperin

Understanding topological matter in the fractional quantum Hall (FQH) effect requires identifying the nature of edge state quasiparticles. FQH edge state at the filling factor $\nu=2/3$ in the spin-polarized and non-polarized phases is…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Vadim Ponomarenko , Yuli Lyanda-Geller

Counter propagating (upstream) chiral neutral edge modes, which were predicted to be present in hole-conjugate states, were observed recently in a variety of fractional quantum Hall states (v=2/3,v=3/5,v=8/3 & v=5/2), by measuring charge…

Mesoscale and Nanoscale Physics · Physics 2011-12-21 Y. Gross , M. Dolev , M. Heiblum , V. Umansky , D. Mahalu

Motivated by surprises in recent experimental findings, we study transport in a model of a quantum Hall edge system with a gate-voltage controlled constriction. A finite backscattered current at finite edge-bias is explained from a…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 Siddhartha Lal

Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conductance quantization which is fractional in the bipolar regime…

Mesoscale and Nanoscale Physics · Physics 2007-08-07 D. A. Abanin , L. S. Levitov

Questions on the nature of edge reconstruction and "where does the current flow" in the quantum Hall effect (QHE) have been debated for years. Moreover, the recent observation of proliferation of "upstream" neutral modes in the fractional…

We revisit the physics of hole-conjugate Fractional Quantum Hall (FQH) phases characterized by counter-propagating edge channels at filling factors above 1/2. We propose a minimal and intuitive model that successfully accounts for all…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 D. Christian Glattli , Charles Boudet , Avirup De , Preden Roulleau

The effects of impurity scattering on a general Abelian fractional quantum Hall (FQH) edge state are analyzed within the chiral-Luttinger-liquid model of low-energy edge dynamics. We find that some disordered edges can have several…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Joel E. Moore , Xiao-Gang Wen

We report on the cascade of quantum phase transitions exhibited by tunnel-coupled edge states across a quantum Hall line junction. We identify a series of quantum critical points between successive strong and weak tunneling regimes in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Yang , W. Kang , K. W. Baldwin , L. N. Pfeiffer , K. W. West

The \nu=5/2 anti-Pfaffian state and the \nu=2/3 state are believed to have an edge composed of counter-propagating charge and neutral modes. This situation allows the generation of a pure thermal bias between two composite edge states…

Strongly Correlated Electrons · Physics 2012-10-09 Giovanni Viola , Sourin Das , Eytan Grosfeld , Ady Stern