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Current statistics of an antidot in the fractional quantum Hall regime is studied for Laughlin's series. The chiral Luttinger liquid picture of edge states with a renormalized interaction exponent $g$ is adopted. Several peculiar features…

介观与纳米尺度物理 · 物理学 2007-07-10 Matteo Merlo , Alessandro Braggio , Nicodemo Magnoli , Maura Sassetti

We theoretically studied the quasiparticle transport in a 2D electron gas biased in the quantum Hall regime and in the presence of a lateral potential barrier. The lateral junction hosts the specific magnetic field dependent quasiparticle…

介观与纳米尺度物理 · 物理学 2017-04-28 A. M. Kadigrobov , M. V. Fistul

A microscopic theory for the interaction of carriers with LO phonons is used to study the ultrafast carrier dynamics in nitride-based semiconductor quantum dots. It is shown that the efficiency of scattering processes is directly linked to…

介观与纳米尺度物理 · 物理学 2009-11-11 J. Seebeck , T. R. Nielsen , P. Gartner , F. Jahnke

This paper reviews recent studies of mesoscopic fluctuations in transport through ballistic quantum dots, emphasizing differences between conduction through open dots and tunneling through nearly isolated dots. Both the open dots and the…

We consider non-equilibrium phenomena in a very simple model that displays a zero-temperature first-order phase transition. The quantum Ising model with a four-spin exchange is adopted as a general representative of first-order quantum…

强关联电子 · 物理学 2016-03-30 Lorenzo Del Re , Michele Fabrizio , Erio Tosatti

Many robust physical phenomena in quantum physics are based on topological invariants arising due to intriguing geometrical properties of quantum states. Prime examples are the integer and fractional quantum Hall effects that demonstrate…

超导电性 · 物理学 2023-10-18 Hannes Weisbrich , Raffael L. Klees , Oded Zilberberg , Wolfgang Belzig

The effects of randomness are investigated in the fractional quantum Hall systems. Based on the Chern-Simons Ginzburg-Landou theory and considering relevant quasi-particle tunneling, the edge state network model for the hierarchical state…

介观与纳米尺度物理 · 物理学 2009-11-07 Kentaro Nomura , Daijiro Yoshioka

In a quantum Hall interferometer, the dependence of the signal on source-drain voltage is controlled by details of the edge physics, such as the velocities of edge modes and the interaction between them and with screening layers. Such…

介观与纳米尺度物理 · 物理学 2024-08-30 Zezhu Wei , D. E. Feldman , Bertrand I. Halperin

A large set of recent experiments has been exploring topological transport in bosonic systems, e.g. of photons or phonons. In the vast majority, time-reversal symmetry is preserved, and band structures are engineered by a suitable choice of…

介观与纳米尺度物理 · 物理学 2022-01-05 Tirth Shah , Florian Marquardt , Vittorio Peano

Quantum Hall phases are gapped in the bulk but support chiral edge modes, both charged and neutral. Here we consider a circuit where the path from the source of electric current to the drain necessarily passes through a segment consisting…

介观与纳米尺度物理 · 物理学 2022-07-29 Ankur Das , Sumathi Rao , Yuval Gefen , Ganpathy Murthy

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

介观与纳米尺度物理 · 物理学 2007-05-23 T. K. T Nguyen , A. Crepieux , T. Jonckheere , A. V. Nguyen , Y. Levinson , T. Martin

Couplings between topological edge channels open electronic phases possessing nontrivial eigenmodes far beyond the noninteracting-edge picture. However, inelastic scatterings mask the eigenmodes' inherent features, often preventing us from…

介观与纳米尺度物理 · 物理学 2024-09-11 Masayuki Hashisaka , Takuya Ito , Takafumi Akiho , Satoshi Sasaki , Norio Kumada , Naokazu Shibata , Koji Muraki

Transport properties of single- and two-site mesoscopic quantum Hall (QH) circuits at high transparencies can be described in terms of the lowest-order backscattering processes, enabling a mapping to the boundary sine-Gordon model. We show…

介观与纳米尺度物理 · 物理学 2026-04-10 D. B. Karki

We investigate integer and fractional quantum Hall states in quantum point contacts (QPCs) of different geometries, defined in AlGaAs/GaAs heterostructures employing different doping and screening techniques. We find that, even in the…

介观与纳米尺度物理 · 物理学 2014-03-11 S. Baer , C. Rössler , E. C. de Wiljes , P. -L. Ardelt , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

Quantum metrology and quantum information necessitate a profound study of suitable states. Attenuations induced by free-space communication links or fluctuations in the generation of such states limit the quantum enhancement in possible…

量子物理 · 物理学 2015-04-29 M. Bohmann , J. Sperling , W. Vogel

We consider two coupled time reversal invariant helical edge modes of the same helicity, such as would occur on two stacked quantum spin Hall insulators. In the presence of interaction, the low energy physics is described by two collective…

介观与纳米尺度物理 · 物理学 2016-11-11 Raul A. Santos , D. B. Gutman , Sam T. Carr

We study electron transport through a multichannel fractional quantum Hall edge in the presence of both interchannel interaction and random tunneling between channels, with emphasis on the role of contacts. The prime example in our…

介观与纳米尺度物理 · 物理学 2021-09-22 C. Spånslätt , Yuval Gefen , I. V. Gornyi , D. G. Polyakov

We present an effective theory for the bulk Fractional Quantum Hall states in spin-polarized bilayer and spin-1/2 single layer two-dimensional electron gases (2DEG) in high magnetic fields consistent with the requirement of global gauge…

介观与纳米尺度物理 · 物理学 2009-10-31 Ana Lopez , Eduardo Fradkin

We study the edge-mode excitations of a fractional quantum Hall droplet by expressing the edge state wavefunctions as linear combinations of Jack polynomials with a negative parameter. We show that the exact diagonalization within subspace…

强关联电子 · 物理学 2014-04-30 Ki Hoon Lee , Zi-Xiang Hu , Xin Wan

We study the quantum dynamics in response to time-dependent external potentials of the edge modes of a small fractional quantum Hall fluid composed of few particles on a lattice in a bosonic Laughlin-like state at filling {\nu} = 1/2. We…

介观与纳米尺度物理 · 物理学 2024-12-12 Alberto Nardin , Daniele De Bernardis , Rifat Onur Umucalilar , Leonardo Mazza , Matteo Rizzi , Iacopo Carusotto