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We show how to incorporate fractionally charged quasielectrons in the finite quantum Hall matrix model.The quasielectrons emerge as combinations of BPS solitons and quasiholes in a finite matrix version of the noncommutative $\phi^4$ theory…

Strongly Correlated Electrons · Physics 2009-11-10 T. H. Hansson , J. Kailasvuori , A. Karlhede , R. von Unge

Controllable point junctions between different quantum Hall phases are a necessary building block for the development of mesoscopic circuits based on fractionally-charged quasiparticles. We demonstrate how particle-hole duality can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Stefano Roddaro , Nicola Paradiso , Vittorio Pellegrini , Giorgio Biasiol , Lucia Sorba , Fabio Beltram

We study momentum-resolved tunneling into a system of spinless chiral one-dimensional fermions, such as electrons at the edge of an integer quantum Hall system. Interactions between particles give rise to broadening of the spectral function…

Strongly Correlated Electrons · Physics 2022-04-29 K. A. Matveev

Charge fractionalization is a possible emergent excitation in a low-dimensional system of interacting electrons. A known example is that of fractional charges in the fractional quantum Hall effect (FQHE) regime, which is a consequence of…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu

The charge of quasiparticles in Pfaffian states of composite fermion excitations (the presence of which is indicated by recent experiments) is found. At the filling fraction of the Pfaffian state $\nu=p/q$ (of the lowest Landau level) the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Piotr Sitko

A low-energy neutral quasiparticle in a fractional quantum Hall system appears in the latter's energy spectrum on a sphere as a series of many-body excited states labeled by the angular momentum $L$ and whose energy is a smooth function of…

Strongly Correlated Electrons · Physics 2025-11-19 Dung Xuan Nguyen , Dam Thanh Son

Much of modern condensed matter physics is understood in terms of elementary excitations, or quasiparticles - fundamental quanta of energy and momentum. Various strongly-interacting atomic systems are successfully treated as a collection of…

Strongly Correlated Electrons · Physics 2010-07-28 Matthew B. Stone , Igor A. Zaliznyak , Tao Hong , Collin L. Broholm , Daniel H. Reich

The quasi-particle tunneling phenomena in the paired fractional quantum Hall states are studied. A single point-contact system is first considered. Because of relevancy of the quasi-particle tunneling term, the strong tunneling regime…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Kentaro Nomura , Daijiro Yoshioka

We elucidate the nature of neutral collective excitations of fractional quantum Hall liquids in the long-wavelength limit. We demonstrate that they are chiral gravitons carrying angular momentum - 2, which are quanta of quantum motion of an…

Strongly Correlated Electrons · Physics 2019-10-09 Shiuan-Fan Liou , F. D. M. Haldane , Kun Yang , E. H. Rezayi

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

Some models of the 5/2 fractional quantum Hall state predict that the quasi-particles, which carry the charge, have non-Abelian statistics: exchange of two quasi-particles changes the wave function more dramatically than just the usual…

Mesoscale and Nanoscale Physics · Physics 2012-06-26 X. Lin , C. Dillard , M. A. Kastner , L. N. Pfeiffer , K. W. West

We extend the construction of the effective conformal field theory for the Jain hierarchical fillings proposed in cond-mat/9912287 to the description of a quantum Hall fluid at non standard fillings nu=m/(pm+2). The chiral primary fields…

Condensed Matter · Physics 2009-10-31 G. Cristofano , G. Maiella , V. Marotta

We study the fractional quantum Hall effect in a bilayer with charge-distribution imbalance induced, for instance, by a bias gate voltage. The bilayer can either be intrinsic or it can be formed spontaneously in wide quantum wells, due to…

Strongly Correlated Electrons · Physics 2013-10-01 N. Thiebaut , N. Regnault , M. O. Goerbig

Gate-voltage control of inter-edge tunneling at a split-gate constriction in the fractional quantum Hall regime is reported. Quantitative agreement with the behavior predicted for out-of-equilibrium quasiparticle transport between chiral…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram , Giorgio Biasiol , Lucia Sorba

Heat transport has large potentialities to unveil new physics in mesoscopic systems. A striking illustration is the integer quantum Hall regime, where the robustness of Hall currents limits information accessible from charge transport.…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 C. Altimiras , H. le Sueur , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

Photoluminescence (PL) has been used to study two-dimensional incompressible electron liquids in high magnetic fields for nearly two decades. However, some of the observed anomalies coincident with the fractional quantum Hall effect are…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Arkadiusz Wojs , Anna Gladysiewicz , John J. Quinn

Charged excitations in the fractional quantum Hall effect are known to carry fractional charges, as theoretically predicted and experimentally verified. Here we report on the dependence of the tunneling quasiparticle charge, as determined…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Dolev , Y. Gross , Y. C. Chung , M. Heiblum , V. Umansky , D. Mahalu

An exact incompressible quantum liquid is constructed at the filling factor $1/m^2$ in square lattice. It supports deconfined fractionally charged excitation. At the filling factor $1/m^2$, the excitation has fractional charge $\pm e/m^2$,…

Strongly Correlated Electrons · Physics 2015-05-28 Chyh-Hong Chern , Po-Hao Huang

From an experimental point of view, quasielectrons and quasiholes play very similar roles in the fractional quantum Hall effect. Nevertheless, the theoretical description of quasielectrons is known to be much harder than the one of…

Strongly Correlated Electrons · Physics 2018-04-20 Anne E. B. Nielsen , Ivan Glasser , Ivan D. Rodriguez

We investigate the quasiparticle excitation of the bilayer quantum Hall (QH) system at total filling factor $\nu_{\mathrm{T}} = 1$ in the limit of negligible interlayer tunneling under tilted magnetic field. We show that the intrinsic…

Strongly Correlated Electrons · Physics 2010-02-19 P. Giudici , K. Muraki , N. Kumada , T. Fujisawa