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The equilibration between quantum Hall edge modes is known to depend on the disorder potential and the steepness of the edge. Modern samples with higher mobilities and setups with lower electron temperatures call for a further exploration…

介观与纳米尺度物理 · 物理学 2022-02-08 G. Nicoli , C. Adam , M. P. Röösli , P. Märki , J. Scharnetzky , C. Reichl , W. Wegscheider , T. Ihn , K. Ensslin

Computer modelling of the integer quantum Hall effect based on self-consistent Hartee-Fock calculations has now reached an astonishing level of maturity. Spatially-resolved studies of the electron density at near macroscopic system sizes of…

介观与纳米尺度物理 · 物理学 2021-08-03 Rudolf A. Römer , Josef Oswald

Anyonic Fabry-P\'erot and Mach-Zehnder interferometers have been proposed theoretically and implemented experimentally as tools to probe electric charges and statistics of anyons. The experimentally observed visibility of Aharonov-Bohm…

介观与纳米尺度物理 · 物理学 2024-01-04 Navketan Batra , Zezhu Wei , Smitha Vishveshwara , D. E. Feldman

Using a new MBE growth technique, we fabricate a two-dimensional electron system which is bent around an atomically sharp 90 degree corner. In the quantum Hall regime under tilted magnetic fields, we can measure equilibration between both…

介观与纳米尺度物理 · 物理学 2009-11-10 M. Grayson , D. Schuh , M. Bichler , G. Abstreiter , L. Hoeppel , J. Smet , K. von Klitzing

Mixing of Landau levels has been understood to be essential in governing the nature of the ground state for the even-denominator fractional quantum Hall effect. The incompressibility of the ground state at filling factor $5/2$ in the strong…

强关联电子 · 物理学 2021-10-01 Wenchen Luo , Shenglin Peng , Hao Wang , Yu Zhou , Tapash Chakraborty

Electronic interferometers in the quantum Hall regime are one of the best tools to study the statistical properties of localized quasiparticles in the topologically protected bulk. However, since their behavior is probed via chiral edge…

We report experiments on electron interferometer devices in the quantum Hall regime, where edge channels circle a 2D electron island. The main confinement is produced by etch trenches, into which front gate metal is deposited. We find a…

介观与纳米尺度物理 · 物理学 2007-10-10 Wei Zhou , F. E. Camino , V. J. Goldman

A quantum Hall interferometer containing a grounded superconducting terminal is proposed. This geometry allows to control the Andreev and normal scattering amplitudes of sub-gap Bogoliubov quasiparticles with the Aharonov-Bohm phase, as…

介观与纳米尺度物理 · 物理学 2023-06-08 Vadim Khrapai

We study quantum Hall interferometers in which the interference loop encircles a quantum anti-dot. We base our study on thermodynamic considerations, which we believe reflect the essential aspects of interference transport phenomena. We…

介观与纳米尺度物理 · 物理学 2015-10-20 Sarah Levy Schreier , Ady Stern , Bernd Rosenow , Bertrand. I. Halperin

Measurements in very low disorder two-dimensional electrons confined to relatively wide GaAs quantum well samples with tunable density reveal reentrant $\nu=1$ integer quantum Hall states in the lowest Landau level near filling factors…

介观与纳米尺度物理 · 物理学 2012-07-20 Yang Liu , C. G. Pappas , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Hong-Ou-Mandel interferometers are valuable tools in many Quantum Information and Quantum Optics applications that require photon indistinguishability. The theoretical limit for the Hong-Ou-Mandel visibility is 0.5 for indistinguishable…

We have investigated the electron occupation number of the edge of a quantum Hall (QH) droplet at $\nu=1/2$ using exact diagonalization technique and composite fermion trial wavefunction. We find that the electron occupation numbers near…

介观与纳米尺度物理 · 物理学 2009-10-31 S. -R. Eric Yang , J. H. Han

The Landau Zener model has recently been used to measure very small tunnel splittings in molecular clusters of Fe8, which at low temperature behaves like a nanomagnet with a spin ground state of S = 10. The observed oscillations of the…

介观与纳米尺度物理 · 物理学 2009-10-31 W. Wernsdorfer , I. Chiorescu , R. Sessoli , D. Gatteschi , D. Mailly

We demonstrate an innovative quantum Hall circuit with variable geometry employing the moveable electrostatic potential induced by a biased atomic force microscope tip. We exploit this additional degree of freedom to identify the…

An analytic closed form solution is derived for the bound states of electrons subject to a static, inhomogeneous ($1/r$-decaying) magnetic field, including the Zeeman interaction. The solution provides access to many-body properties of a…

介观与纳米尺度物理 · 物理学 2022-03-28 Dominik Sidler , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

Inter-channel Coulomb interaction mixes charge excitations in copropagating quantum Hall edge channels, generating coupled excitation eigenmodes propagating at different speeds. This mode transformation causes an electron state to split…

介观与纳米尺度物理 · 物理学 2025-05-30 Takase Shimizu , Eiki Iyoda , Satoshi Sasaki , Akira Endo , Shingo Katsumoto , Norio Kumada , Masayuki Hashisaka

The survival of the quantum spin Hall edge channels in presence of an external magnetic field has been a subject of experimental and theoretical research. The inversion of Landau levels that accommodates the quantum spin Hall effect is…

We report real-time detection of longitudinal and transverse transport responses across distinct frequency bands in a ferromagnetic filling factor $\nu$ = 1 integer quantum Hall state. By tuning $\nu$, we simultaneously access the evolution…

介观与纳米尺度物理 · 物理学 2025-09-16 Hoai Anh Ho , Jian Huang , L. N. Pfeiffer , K. W. West

Coulomb interactions have a major role in one-dimensional electronic transport. They modify the nature of the elementary excitations from Landau quasiparticles in higher dimensions to collective excitations in one dimension. Here we report…

介观与纳米尺度物理 · 物理学 2013-09-24 E. Bocquillon , V. Freulon , J. -M. Berroir , P. Degiovanni , B. Plaçais , A. Cavanna , Y. Jin , G. Fève

The integer quantum Hall effect is a topological state of quantum matter in two dimensions, and has recently been observed in three-dimensional topological insulator thin films. Here we study the Landau levels and edge states of surface…

介观与纳米尺度物理 · 物理学 2015-09-02 Song-Bo Zhang , Hai-Zhou Lu , Shun-Qing Shen