3,615 research outputs found
Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer
We have studied theoretically the tunneling between two edges of Quantum Hall
liquids (QHL) of different filling factors, , with
, through two separate point contacts in the geometry of
Mach-Zehnder interferometer [Y. Ji et al., Nature {\bf 422}, 415 (2003); I.
Neder et al., Phys.\ Rev.\ Lett. {\bf 96}, 016804 (2006)]. The quasi-particle
formulation of the interferometer model is derived as a dual to the initial
electron model, in the limit of strong electron tunneling reached at large
voltages or temperatures. For , the tunneling of
quasiparticles of fractional charge leads to non-trivial -state
dynamics of effective flux through the interferometer, which restores the
regular "electron" periodicity of the current in flux despite the fractional
charge and statistics of quasiparticles. The exact solution available for equal
times of propagation between the contacts along the two edges demonstrates that
the interference pattern of modulation of the tunneling current by flux depends
on voltage and temperature only through a common amplitude.Comment: fourteen two-column pages in RevTex4, 4 eps figure, extended final
verson as appeared in PR
Coulomb drag between one-dimensional conductors
We have analyzed Coulomb drag between currents of interacting electrons in
two parallel one-dimensional conductors of finite length attached to
external reservoirs. For strong coupling, the relative fluctuations of electron
density in the conductors acquire energy gap . At energies larger than
, where
is the impurity scattering rate, and for , where is the
fluctuation velocity, the gap leads to an ``ideal'' drag with almost equal
currents in the conductors. At low energies the drag is suppressed by coherent
instanton tunneling, and the zero-temperature transconductance vanishes,
indicating the Fermi liquid behavior.Comment: 5 twocolumn pages in RevTex, added 1 eps-Figure and calculation of
trans-resistanc
Mach-Zehnder interferometer in the Fractional Quantum Hall regime
We consider tunneling between two edges of Quantum Hall liquids (QHL) of
filling factors , with , through
two point contacts forming Mach-Zehnder interferometer. Quasi-particle
description of the interferometer is derived explicitly through the instanton
duality transformation of the initial electron model. For , tunneling of quasiparticles of charge leads to non-trivial
-state dynamics of effective flux through the interferometer, which restores
the regular ``electron'' periodicity of the current in flux. The exact solution
available for equal propagation times between the contacts along the two edges
demonstrates that the interference pattern in the tunneling current depends on
voltage and temperature only through a common amplitude.Comment: five two-column pages in RevTex4, 1 eps figur
Reply to Comment on "Strongly Correlated Fractional Quantum Hall Line Junctions"
In two recent articles [PRL 90, 026802 (2003); PRB 69, 085307 (2004)], we
developed a transport theory for an extended tunnel junction between two
interacting fractional-quantum-Hall edge channels, obtaining analytical results
for the conductance. Ponomarenko and Averin (PA) have expressed disagreement
with our theoretical approach and question the validity of our results
(cond-mat/0602532). Here we show why PA's critique is unwarranted.Comment: 1 page, no figures, RevTex
Strong-coupling branching of FQHL edges
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 and one
common single-mode edge of another FQHL. In the strong-tunneling limit,
the model of quasiparticle backscattering is obtained by the duality
transformation of the electron tunneling model. The new physics introduced by
the multi-point-contact geometry of the system is coherent splitting of
backscattered quasiparticles at the point contacts in the course of propagation
along the common edge . The ``branching ratios'' characterizing the
splitting determine the charge and exchange statistics of the edge
quasiparticles that can be different from those of Laughlin's quasiparticles in
the bulk of FQHLs. Accounting for the edge statistics is essential for the
system of more than one point contact and requires the proper description of
the flux attachement to tunneling electrons.Comment: 12 pages, 2 figure
Arithmetic of Semigroup Semirings
We define semigroup semirings by analogy with group rings and semigroup rings. We study the arithmetic properties and determine sufficient conditions under which a semigroup semiring is atomic, has finite factorization, or has bounded factorization. We also present a semigroup-semiring analog (although not a generalization) of the Gauss lemma on primitive polynomials.Напiвгруповi напiвкiльця визначаються по аналогiї з груповими кiльцями та напiвгруповими кiльцями. Вивчено
арифметичнi властивостi та отримано достатнi умови, за яких напiвгрупове напiвкiльце є атомним, має скiнченну
факторизацiю або має обмежену факторизацiю. Також наведено напiвгрупово-напiвкiльцевий аналог (хоча i не
узагальнення) гауссiвської леми про примiтивнi полiноми
Theoretical Prerequisites for the Creation of a Dynamic Model of the Process of Displacement of the Earth's Surface
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