Comment on “Integrable Chain of Electrons Interacting With Phonons,” By M. E. Zhuravlev, V. A. Ivanov, and V. V. Achkasov, JETP Lett. 63, 94 (1996)

Marsiglio, F.

doi:10.1134/1.567244

Cited by 3 publications

(5 citation statements)

References 2 publications

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“…Quantized electronic transport, driven by SAW's, has been considered in several recent theoretical studies [10,11,12,13,14,15,17]. Here we discuss our approach in relation to those works.…”

Section: Discussionmentioning

confidence: 98%

“…Single electron transport through low-dimensional mesoscopic structures, driven by surface acoustic waves (SAWs), is a subject of active experimental [1,2,3,4,5,6,7,8,9] and theoretical [10,11,12,13,14,15,16,17,18] research, with potential applications in metrology [19] and new computation technologies [20]. In a typical experimental setup, a quasi-one dimensional ballistic channel is defined in a AlGaAs/GaAs heterostructure and a SAW is launched in the longitudinal direction at a frequency ω/2π of several GHz.…”

Section: Introductionmentioning

confidence: 99%

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Quantized charge pumping by surface acoustic waves in ballistic quasi-1D channels

2004

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Adiabatic pumping of electrons induced by surface acoustic waves (SAWs) in a ballistic quasi-1D quantum channel is considered using an exactly solvable tight-binding model for non-interacting electrons. The single-electron degrees of freedom, responsible for acoustoelectric current quantization, are related to the transmission resonances. We study the influence of experimentally controllable parameters (SAW power, gate voltage, source-drain bias, amplitude and phase of a secondary SAW beam) on the plateau-like structure of the acoustoelectric current. The results are consistent with existing experimental observations.

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“…Quantized electronic transport, driven by SAW's, has been considered in several recent theoretical studies [10,11,12,13,14,15,17]. Here we discuss our approach in relation to those works.…”

Section: Discussionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Quantized charge pumping by surface acoustic waves in ballistic quasi-1D channels

2004

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“…[1,2] In a metal, the anomaly induces an ambiguity in the sign of the transverse conductivity in the limit of vanishing magnetic field. [2,3] While the connection DOI: 10.1002/advs.202307447 between the parity anomaly and topological surface states [4][5][6][7] has been hinted at extensively, [3,8] one can argue that a true observation of the parity anomaly in a condensed matter system, i.e., in the limit of zero magnetic field, is still outstanding. Such an observation is challenging because topological surface states come in pairs and the anomaly can occur only within a single Dirac state.…”

Section: Introductionmentioning

confidence: 99%

Spectral Asymmetry Induces a Re‐Entrant Quantum Hall Effect in a Topological Insulator

Wang,

Beugeling,

Schmitt

et al. 2024

Advanced Science

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The band inversion of topological materials in three spatial dimensions is intimately connected to the parity anomaly of 2D massless Dirac fermions, known from quantum field theory. At finite magnetic fields, the parity anomaly reveals itself as a non‐zero spectral asymmetry, i.e., an imbalance between the number of conduction and valence band Landau levels, due to the unpaired zero Landau level. This work reports the realization of this 2D Dirac physics at a single surface of the 3D topological insulator (Hg,Mn)Te. An unconventional re‐entrant sequence of quantized Hall plateaus in the measured Hall resistance can be directly related to the occurrence of spectral asymmetry in a single topological surface state. The effect should be observable in any topological insulator where the transport is dominated by a single Dirac surface state.

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“…These properties are associated with the electron massless Dirac spectrum as shown in ref. [12]. Due to these properties the electron wave packet can propagate over long distances without much scattering.…”

Section: Introductionmentioning

confidence: 99%

“…[15] In graphene nanoribbons electrons are expected to act like photons in optical waveguides, without dissipation at the edges, or like fluxons in long Josephson junctions. [9][10][11][12][13][14][15][16] Only the presence of lattice defects and impurities may create dissipation at the edges of the material. Here the edges of a nanoribbon can guide electrons via edge states, which is an effect that is usually happening in a magnetic field (e.g., ref.…”

Section: Introductionmentioning

confidence: 99%

Electron Quantum Optics with Beam Splitters and Waveguides in Dirac Matter

Forrester

Kusmatsev

2023

Adv Quantum Tech

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An electron is a quantum particle and behaves as both a particle and a probability wave. On account of this it can be controlled in a similar way to a photon and electronic devices can be designed in analogy to those based on light when there is minimal excitation of the underlying Fermi sea. Here, splitting of the electron wavefunction is explored for systems supporting Dirac type physics, with a focus on graphene but being equally applicable to electronic states in topological insulators, liquid helium, and other systems described relativistically. Electron beam‐splitters and superfocusers are analysed along with propagation through nanoribbons, demonstrating that the waveform, system geometry, and energies all need to balance to maximise the probability density and hence lifetime of the flying electron. These findings form the basis for novel quantum electron optics.

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Comment on “Integrable Chain of Electrons Interacting With Phonons,” By M. E. Zhuravlev, V. A. Ivanov, and V. V. Achkasov, JETP Lett. 63, 94 (1996)

Cited by 3 publications

References 2 publications

Quantized charge pumping by surface acoustic waves in ballistic quasi-1D channels

Quantized charge pumping by surface acoustic waves in ballistic quasi-1D channels

Spectral Asymmetry Induces a Re‐Entrant Quantum Hall Effect in a Topological Insulator

Electron Quantum Optics with Beam Splitters and Waveguides in Dirac Matter

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