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We investigate the possibility of a strongly correlated Fractional Quantum Hall (FQH) state in bulk three dimensional isotropic (not layered) materials. We find that a FQH state can exist at low densities only if it is accompanied by a…

Mesoscale and Nanoscale Physics · Physics 2011-07-13 F. J. Burnell , B. Andrei Bernevig , D. P. Arovas

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

Strongly interacting topological matter exhibits fundamentally new phenomena with potential applications in quantum information technology. Emblematic instances are fractional quantum Hall states, where the interplay of magnetic fields and…

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

We investigate the theory of the fractional quantum Hall effect (QHE) proposed a long time ago by Lopez and Fradkin \cite{Fradkin1991chern} to describe the principal Jain series. The magnetic fluxes of the statistical gauge field attached…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 M. Selch , M. A. Zubkov , Souvik Pramanik , M. Lewkowicz

We study coherent transport and bound-state formation of Bogoliubov quasiparticles in a high-mobility In$_{0.75}%$Ga$_{0.25}$As two-dimensional electron gas (2DEG) coupled to a superconducting Nb electrode by means of a quantum point…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Hiroshi Irie , Clemens Todt , Norio Kumada , Yuichi Harada , Hiroki Sugiyama , Tatsushi Akazaki , Koji Muraki

We investigate a hybrid device consisting of two quantum dots placed between a BCS superconductor and a semiconductor with a strong spin-orbit interaction. Assuming charge tunneling between quantum dots through spin-flip processes, we study…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Bogdan R. Bułka , Tadeusz Domański , Karol I. Wysokiński

We show that quantum spin fluctuations in inhomogeneous ferromagnets drastically affect the Andreev reflection of electrons and holes at a ferromagnet-superconductor interface. As a result a strong long-range proximity effect appears,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Kadigrobov , R. I. Shekhter , M. Jonson

We study transient effects in a setup, where the quantum dot (QD) is abruptly sandwiched between the metallic and superconducting leads. Focusing on the proximity-induced electron pairing, manifested by the in-gap bound states, we determine…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 R. Taranko , T. Domanski

The fractional quantum Hall (FQH) effect is a canonical example of electron-electron interactions producing new ground states in many-body systems. Most FQH studies have focused on the lowest Landau level (LL), whose fractional states are…

Fractional Quantum Hall effect (FQHE) is a unique many-body phenomenon, which was discovered in a two-dimensional electron system placed in a strong perpendicular magnetic field. It is entirely due to the electron-electron interactions…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Vadym Apalkov , Tapash Chakraborty

The formation of bound states at surfaces of materials with an energy gap in the bulk electron spectrum is a well known physical phenomenon. At superconductor surfaces, quasiparticles with energies inside the superconducting gap $\Delta$…

Superconductivity · Physics 2009-11-07 T. Lofwander , V. S. Shumeiko , G. Wendin

We study the role of electron-electron interactions near integer and abelian fractional quantum Hall (QH) transitions using composite fermion (CF) representations. Interaction effects are encapsulated in CF theories as gauge fluctuations.…

Strongly Correlated Electrons · Physics 2022-08-26 Prashant Kumar , P. A. Nosov , S. Raghu

The pseudopotentials describing the interactions of quasiparticles in fractional quantum Hall (FQH) states are studied. Rules for the identification of incompressible quantum fluid ground states are found, based upon the form of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , John J. Quinn

We present a detailed analysis of bipartite entanglement entropies in fractional quantum Hall (FQH) states, considering both abelian (Laughlin) and non-abelian (Moore-Read) states. We derive upper bounds for the entanglement between two…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. S. Zozulya , M. Haque , K. Schoutens , E. H. Rezayi

Constrictions in fractional quantum Hall (FQH) systems not only facilitate backscattering between counter-propagating edge modes, but also may reduce the constriction filling fraction $\nu_c$ with respect to the bulk filling fraction…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Bernd Rosenow , Bertrand I. Halperin

We analyze tunneling of non-Abelian quasiparticles between the edges of a quantum Hall droplet at Landau level filling fraction nu=5/2, assuming that the electrons in the first excited Landau level organize themselves in the non-Abelian…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

A Weyl semimetal with broken time-reversal symmetry has a minimum of two species of Weyl fermions, distinguished by their opposite chirality, in a pair of Weyl cones at opposite momenta $\pm K$ that are displaced in the direction of the…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 N. Bovenzi , M. Breitkreiz , P. Baireuther , T. E. O'Brien , J. Tworzydlo , I. Adagideli , C. W. J. Beenakker

We consider the proximity effect between a singlet s-wave superconductor and the edge of a Quantum Spin Hall (QSH) topological insulator. We establish that Andreev reflection at a QSH edge state/superconductor interface is perfect while…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 P. Adroguer , C. Grenier , D. Carpentier , J. Cayssol , P. Degiovanni , E. Orignac

We investigate the formation and transport properties of chiral Andreev edge states in a two-dimensional quantum Hall system proximitized by a superconductor. By numerically modeling the system using the Bogoliubov-de Gennes equations, we…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 S. Maji , M. P. Nowak