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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

Commensurability is of paramount importance in numerous strongly interacting electronic systems. In the Fractional Quantum Hall effect, a rich cascade of increasingly narrow plateaux appear at larger denominator filling fractions. Rich…

Strongly Correlated Electrons · Physics 2016-07-20 Eran Sagi , Zohar Nussinov

N-body simulations and analytical calculations of the gravitational collapse in an expanding universe predict that halos should form with a diverging inner density profile, the cusp. There are some observational indications that the dark…

Astrophysics · Physics 2009-11-06 Amr El-Zant , Isaac Shlosman , Yehuda Hoffman

We propose a theoretical scenario for pumping of fractionally charged quasi-particle in the context of $\nu=1/3$ fractional quantum Hall liquid. We consider quasi-particle pumping across an anti-dot level tuned close to the resonance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sourin Das , Vadim Shpitalnik

A half-mirror that divides a spin-polarized electron into two parallel copropagating spin-resolved quantum Hall edge channels one half each is presented in this study. The partition process was coherent, as confirmed by observing the…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Takase Shimizu , Jun-ichiro Ohe , Akira Endo , Taketomo Nakamura , Shingo Katsumoto

Some of the most intriguing problems in solid state physics arise when the motion of one electron dramatically affects the motion of surrounding electrons. Traditionally, such highly-correlated electron systems have been studied mainly in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. M. Potok , I. G. Rau , Hadas Shtrikman , Yuval Oreg , D. Goldhaber-Gordon

The concept of fractional charge is central to the theory of the fractional quantum Hall effect (FQHE). Here I use exact diagonalization as well as configuration space renormalization (CSR) to study finite clusters which are large enough to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. V. Tsiper

The temperature dependence of electron spin polarization for a narrow quantum Hall system shows behavior analogous to that of a two-dimensional system at major filling factors. At the lowest half-filled quantum Hall state for which no…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

The quantum Hall effect, observed in a two-dimensional electron gas subjected to a perpendicular magnetic field, imposes a 1D-like chiral, downstream, transport of charge carriers along the sample edges. Although this picture remains valid…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Fabien Lafont , Amir Rosenblatt , Moty Heiblum , Vladimir Umansky

We study the motion of a charged quantum particle, constrained on the surface of a cylinder, in the presence of a radial magnetic field. When the spin of the particle is neglected, the system essentially reduces to an infinite family of…

Quantum Physics · Physics 2007-05-23 C. Chryssomalakos , A. Franco , A. Reyes-Coronado

We have studied theoretically the tunneling between two edges of Quantum Hall liquids (QHL) of different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two separate point contacts in the geometry of…

Strongly Correlated Electrons · Physics 2010-05-11 Vadim V. Ponomarenko , Dmitri V. Averin

We consider the infall of a massive clump into a dark-matter halo as a simple and extreme model for the effect of baryonic physics (neglected in gravity-only simulations of large-scale structure formation) on the dark-matter. We find that…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 David Cole , Walter Dehnen , Mark Wilkinson

The inelastic scattering of electrons on weakly-bound nuclei is studied with a simple model based on the long range behavior of the bound state wavefunction and on the effective-range expansion for the continuum wavefunctions. Three…

Nuclear Theory · Physics 2009-11-11 C. A. Bertulani

The Laughlin state is an ansatz for the ground state of a system of 2D quantum particles submitted to a strong magnetic field and strong interactions. The two effects conspire to generate strong and very specific correlations between the…

Mathematical Physics · Physics 2019-07-01 Nicolas Rougerie

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

Strongly Correlated Electrons · Physics 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

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

Experiments reveal that a confined electron system with two equally-populated layers at zero magnetic field can spontaneously break this symmetry through an interlayer charge transfer near the magnetic quantum limit. New fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 H. C. Manoharan , Y. W. Suen , T. S. Lay , M. B. Santos , M. Shayegan

A theory of the anomalous and spin Hall effects, based on the space distribution of the current densities, is presented. Spin-orbit coupling gives rise to a space separation of the mass centers, as well as a current density separation of…

Mesoscale and Nanoscale Physics · Physics 2010-09-09 Pavel Středa , Thibaut Jonckheere

The polaron is the archetypal example of a quasiparticle emerging from the interaction between fermionic and bosonic fields in quantum field theory. In crystalline solids, polarons are formed when electrons and holes become dressed by the…

Materials Science · Physics 2023-02-17 Weng Hong Sio , Feliciano Giustino

The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yanqiang Liu , Benrong Mu , Jun Tao , Yuling Weng