Nonlinear transport of the inhomogeneous Wigner solid in a channel geometry

Badrutdinov, A. O.; Smorodin, A. V.; Rees, David G.; Lin, J. Y.; Konstantinov, Denis

doi:10.1103/physrevb.94.195311

Cited by 10 publications

(10 citation statements)

References 37 publications

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“…Recently, it was demonstrated that confining electrons in capillary-condensed microchannel structures facilitates control of the electron system by imposed electrostatic potentials and allow to observe new interesting features associated with the electron transport and phase transitions in the system, such as a clocked electron transport [13], discrete transport through a point-contact constriction [14,15], suppressed and re-entrant melting of a quasi-1D electron crystal [16][17][18], stick-slip motion of WS [19], inhomogeneous WS [20], etc. Motivated by these works, and by the possibility to study the FK model in the electron-on-helium system, we designed and fabricated a microchannel device in which a spatially periodic electrostatic potential of varying amplitude could be imposed onto the electrons confined in the channel.…”

Section: Introductionmentioning

confidence: 99%

Transport Properties of a Quasi-1D Wigner Solid on Liquid Helium Confined in a Microchannel with Periodic Potential

et al. 2018

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We present transport measurements in a quasi-1D system of surface electrons on liquid helium confined in a 101-µm long and 5-µm wide microchannel where an electrostatic potential with periodicity of 1-µm along the channel is introduced. In particular, we investigate the influence of such a potential on the nonlinear transport of quasi-1D Wigner Solid (WS) by varying the amplitude of the periodic potential in a wide range. At zero and small values of amplitude, quasi-1D WS in microchannel shows expected features such as the Bragg-Cherenkov scattering of ripplons and reentrant melting. As the amplitude of potential increases, the above features are strongly suppressed. This behavior suggests loss of the long-range positional order in the electron system, which is reminiscent of the re-entrant melting behaviour due to the lateral confinement of WS in the channel.

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Section: Introductionmentioning

confidence: 99%

Transport Properties of a Quasi-1D Wigner Solid on Liquid Helium Confined in a Microchannel with Periodic Potential

et al. 2018

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“…The measured threshold value of V T determines the value of V SE . The density of SE in the T-junction for an arbitrary value of V T is determined by finite element modeling, as described previously [20]. The SE density profile across the channel is calculated for a given SE potential V SE .…”

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Unidirectional Charge Transport via Ripplonic Polarons in a Three-Terminal Microchannel Device

et al. 2020

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We study the transport of surface electrons on superfluid helium through a microchannel structure in which the charge flow splits into two branches, one flowing straight and one turned at 90 degrees. According to Ohms law, an equal number of charges should flow into each branch. However, when the electrons are dressed by surface excitations (ripplons) to form polaron-like particles with sufficiently large effective mass, all the charge follows the straight path due to momentum conservation. This surface-wave induced transport is analogous to the motion of electrons coupled to surface acoustic waves in semiconductor 2DEGs.

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“…Confining the SSE in capillarycondensed micro-channel structures is practical for investigating nonlinear electron transport and phase transitions. The strongly-correlated WS phase gives rise to many interesting phenomena, such as the re-entrant melting of quasi-1D electron crystals [10][11][12], stick-slip motion of a WS [13,14], the bistable transport properties of a quasi-1D WS [15], the finite-size effect of WSs on sliding transition [16,17], and the loss of the long-range positional order of a quasi-1D WS in the presence of an external periodic potential [18].…”

Section: Introductionmentioning

confidence: 99%

“…At least, if one exposes the WS to an external electric field then the redistribution of the electrons can be recorded as a current [8,16,17,24].…”

Section: Introductionmentioning

confidence: 99%

The movement of a one-dimensional Wigner solid explained by a modified Frenkel-Kontorova model

2020

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We propose a Frenkel-Kontorova model for a 1D chain of electrons forming a Wigner solid over 4 He. It is a highly idealized picture, but with the model at hand we can study the movement of the chain. We find out that the energetically most preferable movement is the successive sliding of a kink or an antikink through the chain. Then the force for a movement does not depend on the length of the chain. The force uniformly applied to all electrons must be larger than a force exciting only a kink or an antikink. We calculate two cases, one with stiff 'springs' between the electrons and one with weak 'springs'. The side potential of the 'dimples' is additionally damped at the periphery. We study the cases with 33, 66, and 101 particles.

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Nonlinear transport of the inhomogeneous Wigner solid in a channel geometry

Cited by 10 publications

References 37 publications

Transport Properties of a Quasi-1D Wigner Solid on Liquid Helium Confined in a Microchannel with Periodic Potential

Transport Properties of a Quasi-1D Wigner Solid on Liquid Helium Confined in a Microchannel with Periodic Potential

Unidirectional Charge Transport via Ripplonic Polarons in a Three-Terminal Microchannel Device

The movement of a one-dimensional Wigner solid explained by a modified Frenkel-Kontorova model

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