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We have developed a theory of quasiparticle backscattering in a system of point contacts formed between single-mode edges of several Fractional Quantum Hall Liquids (FQHLs) with in general different filling factors $\nu_j$ and one common…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. V. Ponomarenko , D. V. Averin

We study the resonant tunneling of quasiparticles through an impurity between the edges of a Fractional Quantum Hall sample. We show that the one-particle momentum distribution of fractionally charged edge quasiparticles has a quasi-Fermi…

Condensed Matter · Physics 2009-10-22 V. L. Pokrovsky , L. P. Pryadko

Quantum spin liquids are fascinating phases of matter, hosting fractionalized spin excitations and unconventional long-range quantum entanglement. These exotic properties, however, also render their experimental characterization…

Strongly Correlated Electrons · Physics 2022-09-20 Wilhelm Kadow , Laurens Vanderstraeten , Michael Knap

Interference of fractionally charged quasi-particles is expected to lead to Aharonov-Bohm oscillations with periods larger than the flux quantum. However, according to the Byers-Yang theorem, observables of an electronic system are…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivan P. Levkivskyi , Juerg Froehlich , Eugene V. Sukhorukov

When the quantum Hall effect occurs in a two-dimensional electron gas, all low-energy elementary excitations are localized near the system edge. The edge acts in many ways like a one-dimensional ring of electrons, except that a finite…

Condensed Matter · Physics 2007-05-23 A. H. MacDonald

Laughlin quasiparticles are the elementary excitations of a highly-correlated fractional quantum Hall electron fluid. They have fractional charge and obey fractional statistics. The quasiparticles can propagate quantum-coherently in chiral…

Mesoscale and Nanoscale Physics · Physics 2007-10-11 F. E. Camino , Wei Zhou , V. J. Goldman

We report on our investigation of the low-lying energy spectra and charge density of a two-dimensional quantum Hall liquid at $\nu=\frac25$ that is Coulomb coupled to a quantum dot. The dot contains a hole and two/three electrons. We found…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. M. Apalkov , Tapash Chakraborty , C. Schuller

Quasiparticle injection devices are considered as one of the candidates for the high temperature superconductor transistors, which can operate at liquid nitrogen temperatures. In these devices the nonequilibrium effects are created by…

We study the entanglement spectra of bilayer quantum Hall systems at total filling factor nu=1. In the interlayer-coherent phase at layer separations smaller than a critical value, the entanglement spectra show a striking similarity to the…

Mesoscale and Nanoscale Physics · Physics 2011-03-22 John Schliemann

The ground-state electron density of a one-dimensional spin-orbit coupled quantum dot with a Zeeman term and strong electron interaction is studied at the fractional helical liquid points. We show that at fractional filling factors…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 F. Cavaliere , F. M. Gambetta , S. Barbarino , M. Sassetti

Motivated by experimental realizations of integer quantized charge pumping in one-dimensional superlattices~[Nat. Phys. 12, 350 (2016); Nat. Phys. 12, 296 (2016)], we generalize and propose the adiabatic pumping of a fractionalized charge…

Strongly Correlated Electrons · Physics 2016-12-19 Tian-Sheng Zeng , W. Zhu , D. N. Sheng

We propose a pseudo-potential Hamiltonian for the Zhang-Hu's generalized fractional quantum Hall states to be the exact and unique ground states. Analogously to Laughlin's quasi-hole (quasi-particle), the excitations in the generalized…

Strongly Correlated Electrons · Physics 2008-11-26 Chyh-Hong Chern

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

Charged excitons of composite fermions (CFs) are considered in the fractional quantum Hall effect. Energies of the charged CF excitons are computed at $\nu=1/3$ as a function of the size of exciton. We show that the charged CF exciton with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kwon Park

We propose ways to create and detect fractionally charged excitations in \emph{integer} quantum Hall edge states. The charge fractionalization occurs due to the Coulomb interaction between electrons propagating on different edge channels.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. Berg , Y. Oreg , E. -A. Kim , F. von Oppen

A many-particle Hamiltonian is proposed in order to explain the fractional quantum Hall effect (FQHE) for fractional filling factors $\nu < 1$. The solutions of the corresponding Hartree-Fock equations make it possible to discuss the FQHE…

Condensed Matter · Physics 2007-05-23 Myung-Hoon Chung

Strong particle-plasmon interaction in electronic systems can lead to composite \emph{hole-plasmon} excitations. We investigate the emergence of similar composite quasiparticles in ultracold dipolar Fermi liquids originating from the…

Quantum Gases · Physics 2018-12-27 Iran Seydi , Saeed H. Abedinpour , Reza Asgari , B. Tanatar

Motivated by the quasiparticle wavefunction in the composite fermion (CF) theory for fractional quantum Hall filling factor $\nu = 1/m$, I consider a suitable quasiparticle operator in differential form, as a modified form of Laughlin's…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Sudhansu S. Mandal

Charge fractionalization is the phenomenon where quasi-particle excitations in a many-particle system appear with non-integer values relative to the fundamental charge unit. Examples of such systems are known from field theoretical models…

Strongly Correlated Electrons · Physics 2009-11-06 Jon Magne Leinaas

A profound manifestation of topologically non-trivial states of matter is the occurrence of fractionally charged elementary excitations. The quantum spin Hall insulator state is a fundamentally novel quantum state of matter that exists at…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang
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