Charge fractionalization in nonchiral Luttinger systems

@article{Hur2008ChargeFI,
  title={Charge fractionalization in nonchiral Luttinger systems},
  author={Karyn Le Hur and Bertrand I. Halperin and Amir Yacoby},
  journal={Annals of Physics},
  year={2008},
  volume={323},
  pages={3037-3058}
}
One-dimensional metals, such as quantum wires or carbon nanotubes, can carry charge in arbitrary units, smaller or larger than a single electron charge. However, according to Luttinger theory, which describes the low-energy excitations of such systems, when a single electron is injected by tunneling into the middle of such a wire, it will tend to break up into separate charge pulses, moving in opposite directions, which carry definite fractions f and (1-f) of the electron charge, determined by… 

Fractionalization and anyonic statistics in the integer quantum Hall collider

One remarkable feature of strongly correlated systems is the phenomenon of fractionalization where quasiparticles carry only a fraction of the charge or spin of the elementary constituents. Such

Fractional Charge (and Statistics) in Luttinger Liquids

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

Sharp fractional charges in Luttinger liquids

We examine charge fractionalization by chiral separation in a one-dimensional fermion system described by Luttinger liquid theory. The focus is on the question of whether the fractional charges are

Nonequilibrium electron spectroscopy of Luttinger liquids

We theoretically study a Luttinger liquid ! LL" driven out of equilibrium by injection of high-energy electrons. The electrons are injected into the LL locally at a fixed energy and their spectral

Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity

The Tomonaga-Luttinger liquid (TLL) concept is believed to generically describe the strongly-correlated physics of one-dimensional systems at low temperatures. A hallmark signature in 1D conductors

Kinetic Processes in Fermi–Luttinger Liquids

Abstract In this work we discuss extensions of the pioneering analysis by Dzyaloshinskii and Larkin [Sov. Phys. JETP 38 , 202 (1974)] of correlation functions for one-dimensional Fermi systems,

Quantum phase diagram of Shiba impurities from bosonization

A characteristic feature of Shiba impurities is the existence of a spinand parity-changing quantum phase transition (known as “0-π” transition) which has been observed in scanning tunneling

Quantum phase diagram of Shiba impurities from bosonization

A characteristic feature of Shiba impurities is the existence of a spin- and parity-changing quantum phase transition (known as "0-$\pi$" transition) which has been observed in scanning tunneling

Tunneling between parallel one-dimensional Wigner crystals

Vertically aligned arrays are a frequent outcome in the nanowires synthesis by self-assembly techniques or in its subsequent processing. When these nanowires are close enough, quantum electron

Fractional Mutual Statistics on Integer Quantum Hall Edges.

TLDR
A setup for detection of the statistics in which a fractional excitation is generated at a source and injected to a Mach-Zehnder interferometer (MZI) in the integer QH regime is proposed.

References

SHOWING 1-10 OF 95 REFERENCES

Charge fractionalization in quantum wires

Although the unit of charge in nature is a fundamental constant, the charge of individual quasiparticles in some low-dimensional systems may be fractionalized. Quantum one-dimensional (1D) systems,

Transport in a spin-incoherent Luttinger liquid

We theoretically investigate transport in a spin-incoherent one-dimensional electron system, which may be realized in quantum wires at low-electron density and finite temperature. Both the pure and

Luttinger-liquid behaviour in carbon nanotubes

Electron transport in conductors is usually well described by Fermi-liquid theory, which assumes that the energy states of the electrons near the Fermi level EF are not qualitatively altered by

Electron lifetime in Luttinger liquids

We investigate the decoherence of the electron wavepacket in purely ballistic one-dimensional systems described through the Luttinger liquid (LL). At a finite temperature $T$ and long times $t$, we

Fractional excitations in the Luttinger liquid

We reconsider the spectrum of the Luttinger liquid (LL) usually understood in terms of phonons (density fluctuations), and within the context of bosonization we give an alternative representation in

Conductance of one-dimensional quantum wires

We discuss the conductance of quantum wires in terms of the Tomonaga-Luttinger liquid (TLL) theory. We use explicitly the charge fractionalization scheme which results from the chiral symmetry of the

Momentum-resolved tunneling between Luttinger liquids

We study tunneling between two nearby cleaved edge quantum wires in a perpendicular magnetic field. Due to Coulomb forces between electrons, the wires form a strongly interacting pair of Luttinger

Theory of momentum resolved tunneling into a short quantum wire

Motivated by recent tunneling experiments in the parallel wire geometry, we calculate results for momentum resolved tunneling into a short one-dimensional wire, containing a small number of

Resonant Tunneling in the Quantum Hall Regime: Measurement of Fractional Charge

TLDR
In experiments on resonant tunneling through a "quantum antidot" (a potential hill) in the quantum Hall (QH) regime, periodic conductance peaks were observed as a function of both magnetic field and back gate voltage, implying that charge deficiency on the antidot is quantized in units of the charge of quasi-particles of the surrounding QH condensate.
...