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Advancing a microscopic framework that rigorously unveils the underlying topological hallmarks of fractional quantum Hall (FQH) fluids is a prerequisite for making progress in the classification of strongly-coupled topological matter. Here…

Strongly Correlated Electrons · Physics 2022-11-08 Arkadiusz Bochniak , Zohar Nussinov , Alexander Seidel , Gerardo Ortiz

We study nonequilibrium transport through a charge Kondo device realizing the two-channel Kondo critical point in a recent experiment by Iftikhar et al. By computing the current and shot noise at low voltages near the critical point, we…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 L. A. Landau , E. Cornfeld , E. Sela

The article reviews recent results for the low energy physics of fast tunneling centers in metallic environments. For strong enough couplings to the environment these tunneling centers display an orbital Kondo effect and give rise to a…

Strongly Correlated Electrons · Physics 2009-10-30 G. Zarand , K. Vladar

In this paper we study the coupling between a quantum dot and the edge of a non-Abelian fractional quantum Hall state. We assume the dot is small enough that its level spacing is large compared to both the temperature and the coupling to…

Strongly Correlated Electrons · Physics 2010-07-05 Gregory A. Fiete , Waheb Bishara , Chetan Nayak

The fractional quantum Hall (FQH) effect was discovered in two-dimensional electron systems subject to a large perpendicular magnetic field nearly four decades ago. It helped launch the field of topological phases, and in addition, because…

Strongly Correlated Electrons · Physics 2020-03-02 R. N. Bhatt , Matteo Ippoliti

The Fractional Quantum Hall (FQH) effect has been predicted to occur in absence of magnetic fields and at high temperature in lattice systems that have flat bands with non-zero Chern number. We demonstrate that the presence of orbital…

Strongly Correlated Electrons · Physics 2011-09-13 Jörn W. F. Venderbos , Maria Daghofer , Jeroen van den Brink

We develop an effective low energy theory of the Quantum Hall (QH) Smectic or stripe phase of a two-dimensional electron gas in a large magnetic field in terms of its Goldstone modes and of the charge fluctuations on each stripe. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel G. Barci , Eduardo Fradkin , Steven A. Kivelson , Vadim Oganesyan

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

We address the quantum statistics of electrons created in the low-energy edge-state Hilbert space sector of incompressible fractional quantum Hall states, considering the possibility that they may not satisfy Fermi statistics. We argue that…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 U. Zuelicke , J. J. Palacios , A. H. MacDonald

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

In two-dimensional electron systems confined to GaAs quantum wells, as a function of either tilting the sample in magnetic field or increasing density, we observe multiple transitions of the fractional quantum Hall states (FQHSs) near…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Yang Liu , D. Kamburov , S. Hasdemir , M. Shayegan , L. N. Pfeifer , K. W. West , K. W. Baldwin

We report an experimental investigation of fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu$ = 1/2 in very high quality wide GaAs quantum wells, and at very high magnetic fields up to 45 T. The…

Mesoscale and Nanoscale Physics · Physics 2013-12-24 J. Shabani , Y. Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The low energy physics of the fractional Hall liquid is described in terms quasiparticles that are qualitatively distinct from electrons. We show, however, that a long-lived electron-like quasiparticle also exists in the excitation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jainendra K. Jain , Michael R. Peterson

The breakdown of the lattice Kondo effect in local-moment metals can lead to non-trivial forms of quantum criticality and a variety of non-Fermi-liquid phases. Given indications that Kondo-breakdown transitions involve criticality not only…

Strongly Correlated Electrons · Physics 2022-12-20 Pedro M. Cônsoli , Matthias Vojta

The fractional quantum Hall (FQH) effect at the filling number $\nu=5/2$ is a primary candidate for non-Abelian topological order, while the fate of such a state in the presence of random disorder has not been resolved. Here, we address…

Strongly Correlated Electrons · Physics 2019-08-07 W. Zhu , D. N. Sheng

Recent proposals of topological flat band (TFB) models have provided a new route to realize the fractional quantum Hall effect (FQHE) without Landau levels. We study hard-core bosons with short-range interactions in two representative TFB…

Strongly Correlated Electrons · Physics 2011-10-03 Yi-Fei Wang , Zheng-Cheng Gu , Chang-De Gong , D. N. Sheng

We propose a two-fluid description of fractional quantum Hall systems, in which one component is a condensate of composite bosons and the other a Fermi liquid formed by composite fermions (or simply electrons). We employ the theory to model…

Strongly Correlated Electrons · Physics 2023-11-13 Zhaoyu Han , Kyung-Su Kim , Steven A. Kivelson , Thors Hans Hansson

We demonstrate the emergence of the quantum Hall (QH) hierarchy in a 2D model of coupled quantum wires in a perpendicular magnetic field. At commensurate values of the magnetic field, the system can develop instabilities to appropriate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. L. Kane , Ranjan Mukhopadhyay , T. C. Lubensky

Geometric fluctuations of the density mode in a fractional quantum Hall (FQH) state can give rise to a nematic FQH phase, a topological state with a spontaneously broken rotational symmetry. While experiments on FQH states in the second…

Strongly Correlated Electrons · Physics 2024-06-11 Songyang Pu , Ajit C. Balram , Joseph Taylor , Eduardo Fradkin , Zlatko Papić

The beta function of the multichannel Kondo model is calculated exactly in the limit of large spin N and channel number M=gamma*N, with constant gamma. There are no corrections in any finite order of 1/N. One zero is found at a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Kurt Fischer