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The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

Quasielectrons and quasiholes in the fractional quantum Hall liquids obey fractional (including nontrivial mutual) exclusion statistics. Their statistics matrix can be determined from several possible state-counting scheme, involving…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Y. S. Wu , Y. Yu , Y. Hatsugai , M. Kohmoto

We compute the backscattered current in a double point-contact geometry of a Quantum Hall system at filling fraction $\nu=5/2$ as a function of bias voltage in the weak backscattering regime. We assume that the system is in the universality…

Strongly Correlated Electrons · Physics 2015-05-13 Waheb Bishara , Chetan Nayak

The quantum Hall (QH) effect supports a set of chiral edge states at the boundary of a 2-dimensional electron gas (2DEG) system. A superconductor (SC) contacting these states induces correlation of the quasi-particles in the dissipationless…

Mesoscale and Nanoscale Physics · Physics 2017-05-12 Gil-Ho Lee , Ko-Fan Huang , Dmitri K. Efetov , Di S. Wei , Sean Hart , Takashi Taniguchi , Kenji Watanabe , Amir Yacoby , Philip Kim

Quantum theory is proposed of high energy electrons scattering in ultrathin crystals. This theory is based upon a special representation of the scattering amplitude in the form of the integral over the surface surrounding the crystal, and…

Accelerator Physics · Physics 2017-03-29 N. F. Shul'ga , S. N. Shulga

We discuss a quasi-particle formulation of effective edge theories for the fractional quantum Hall effect. Fundamental quasi-particles for the Laughlin state with filling fraction \nu =1/3 are edge electrons of charge -e and edge…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Schoutens , R. A. J. van Elburg

Fractionally charged quasiparticles in edge states, are expected to condense to a chiral Luttinger liquid (CLL). We studied their condensation by measuring the conductance and shot noise due to an artificial backscatterer embedded in their…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Y. C. Chung , M. Heiblum , Y. Oreg , V. Umansky , D. Mahalu

One remarkable feature of strongly correlated systems is the phenomenon of fractionalization where quasiparticles carry only a fraction of the charge or spin of the elementary constituents. Such quasiparticles often present anyonic…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Tom Morel , June-Young M. Lee , H. -S. Sim , Christophe Mora

In an unconventional superconductor, the interplay of scattering off impurities and Andreev processes may lead to different scattering times for electronlike and holelike quasiparticles. Such electron-hole asymmetry appears when the…

Superconductivity · Physics 2022-03-15 Kevin Marc Seja , Louhane Jacob , Tomas Löfwander

Andreev reflection of thermal quasiparticles from quantized vortices is an important technique to visualize quantum turbulence in low temperature $^3$He-$B$. We revisit a problem of Andreev reflection from the isolated, rectilinear vortex…

Statistical Mechanics · Physics 2015-06-23 Yuri A. Sergeev , Carlo F. Barenghi , Shaun N. Fisher , Viktor Tsepelin , Nugzar Suramlishvili

Quantum Hall systems host quasiparticles demonstrating correlated electron physics and non-trivial quantum statistics. Excitonic phases, archetypical for interaction effect, have attracted significant interest in recent years in…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Rui Pu , Naomi Mizuno , Fernando Camino , Runchen Li , Kenji Watanabe , Takashi Taniguchi , Dmitri Averin , Xu Du

We present Monte Carlo studies of charge expectation values and charge fluctuations for quasi-particles in the quantum Hall system. We have studied the Laughlin wave functions for quasi-hole and quasi-electron, and also Jain's definition of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. Kjønsberg , J. M. Leinaas

We propose a quasi-particle formulation of effective edge theories for the fractional quantum Hall effect. For the edge of a Laughlin state with filling fraction \nu=1/m, our fundamental quasi-particles are edge electrons of charge -e and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. A. J. van Elburg , K. Schoutens

Bogoliubov quasiparticles are a coherent electron-hole quantum superposition which typically, for time-reversal symmetric superconductors, exhibit a spectral distribution with particle-hole symmetry. Here, we demonstrate that in…

Superconductivity · Physics 2023-07-10 Yuri Fukaya , Keiji Yada , Yukio Tanaka , Paola Gentile , Mario Cuoco

We present a combined numerical and experimental study of Andreev scattering from quantum turbulence in superfluid $^3$He-B at ultralow temperatures. We simulate the evolution of moderately dense, three-dimensional, quasiclassical vortex…

We study various geometrical aspects of the propagation of particles obeying fractional statistics in the physical setting of the quantum Hall system. We find a discrete set of zeros for the two-particle kernel in the lowest Landau level;…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Diptiman Sen , Michael Stone , Smitha Vishveshwara

We investigate the challenges of reaching the quantum regime and generating minimal excitations in the fractional quantum Hall effect (FQHE) under AC driving. Using the unifying non-equilibrium perturbative (UNEP) approach, we analyze weak…

Mesoscale and Nanoscale Physics · Physics 2025-02-26 Imen Taktak , Ines Safi

We propose an approach that enables implementation of anyonic quantum computation in systems of antidots in the two-dimensional electron liquid in the FQHE regime. The approach is based on the adiabatic transfer of FQHE quasiparticles in…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. V. Averin , V. J. Goldman

We propose a universal method to detect the specular Andreev reflection taking the simple two dimensional Weyl nodal-line semimetal-superconductor double-junction structure as an example. The quasiclassical quantization conditions are…

Superconductivity · Physics 2021-04-27 Qiang Cheng , Qing-Feng Sun

Local excitations in fractional quantum Hall systems are amongst the most intriguing objects in condensed matter, as they behave like particles of fractional charge and fractional statistics. In order to experimentally reveal these exotic…

Strongly Correlated Electrons · Physics 2018-10-24 Tobias Graß , Michael Gullans , Przemyslaw Bienias , Guanyu Zhu , Areg Ghazaryan , Pouyan Ghaemi , Mohammad Hafezi