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

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

doi:10.1007/s10909-018-2089-7

Cited by 13 publications

(20 citation statements)

References 32 publications

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“…Still focusing on nano-up to mesoscale experimental systems, other works, including nanomanipulation of deposited adsorbates (in the form of nanoclusters and 2D graphite-like patches) [30][31][32][33][34][35][36][37][38][39][40] , telescopic dynamics and water flow in nanotubes and confined geometries [41][42][43] , rare-gas island inertial motion [44][45][46] , sliding colloidal layers and ion-crystal simulators [47][48][49][50][51][52][53] , and transport in quasi-1D Wigner solids 54,55 , have recently uncovered signatures of a superlubric behavior.…”

Section: Commensuratementioning

confidence: 99%

Structural lubricity in soft and hard matter systems

2020

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Over the recent decades there has been tremendous progress in understanding and controlling friction between surfaces in relative motion. However the complex nature of the involved processes has forced most of this work to be of rather empirical nature. Two very distinctive physical systems, hard two-dimensional layered materials and soft microscopic systems, such as optically or topographically trapped colloids, have recently opened novel rationally designed lines of research in the field of tribology, leading to a number of new discoveries. Here, we provide an overview of these emerging directions of research, and discuss how the interplay between hard and soft matter promotes our understanding of frictional phenomena.

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Section: Commensuratementioning

confidence: 99%

Structural lubricity in soft and hard matter systems

2020

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“…We think that the proposed investigations of themoelectric properties of Wigner crystal in 2D periodic lattice are well accessible for experiments with low temperature electrons on a surface of liquid helium in the regimes similar to those discussed in [21,22]. Indeed, for a typical lattice period = 1µm the potential amplitude K = 0.1 corresponds to V A = Ke 2 /( /2pi) ≈ 10K (Kelvin) that can be reached at rather weak potential modulation in space.…”

Section: Discussionmentioning

confidence: 72%

“…However, at present it seems rather difficult to extend cold ions experiments to 2D case. Thus we expect that the most promising experimental studies of thermoelectricity of Wigner crystal in 2D periodic potential should be the extension of experimental setups with electrons on liquid helium reported in [21,22]. It is also possible that other physical systems like two-dimensional colloidal monolayers, where the observation of Aubry transition has been reported recently [28], can open complementary possibilities for experimental modeling of thermoelectricity.…”

Section: Introductionmentioning

confidence: 88%

“…As possible experimental systems with a Wigner crystal in a periodic potential we point to electrons on liquid helium [2]. The experimental investigations of such systems have been already started with electrons on liquid helium with a quasi-1d channel [21] and with a periodic 1D or 2D potential [22]. Another physical system is represented by cold ions in a periodic 1D potential proposed in [4].…”

Section: Introductionmentioning

confidence: 99%

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Thermoelectric properties of Wigner crystal in two-dimensional periodic potential

Zakharov¹,

Demidov²,

Shepelyansky³

2020

Eur. Phys. J. B

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We study numerically transport and thermoelectric properties of electrons placed in a twodimensional (2D) periodic potential. Our results show that the transition from sliding to pinned phase takes place at a certain critical amplitude of lattice potential being similar to the Aubry transition for the one-dimensional Frenkel-Kontorova model. We show that the 2D Aubry pinned phase is characterized by high values of Seebeck coefficient S ≈ 12. At the same time we find that the value of Seebeck coefficient is significantly influenced by the geometry of periodic potential. We discuss possibilities to test the properties of 2D Aubry phase with electrons on a surface of liquid helium. PACS. XX.XX.XX No PACS code givenNowadays the needs of efficient energy usage stimulated extensive investigations of various materials with high characteristics of thermoelectricity as reviewed in [15, arXiv:1910.12946v1 [cond-mat.mes-hall]

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“…Finally, we note that the Hamiltonian (1) can be also realized with electrons on a surface of liquid helium [41]. The experimental progress in a possible realization of such a system is reported in [42,43]. The efforts are also in progress [44] to realize a quantum computer with electrons on liquid helium as proposed in [45].…”

Section: Discussionmentioning

confidence: 91%

Properties of phonon modes of an ion-trap quantum computer in the Aubry phase

2020

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We study analytically and numerically the properties of phonon modes in an ion quantum computer. The ion chain is placed in a harmonic trap with an additional periodic potential which dimensionless amplitude K determines three main phases available for quantum computations: at zero K we have the case of Cirac-Zoller quantum computer, below a certain critical amplitude K < Kc the ions are in the Kolmogorov-Arnold-Moser (KAM) phase, with delocalized phonon modes and free chain sliding, and above the critical amplitude K > Kc ions are in the pinned Aubry phase with a finite frequency gap protecting quantum gates from temperature and other external fluctuations. For the Aubry phase, in contrast to the Cirac-Zoller and KAM phases, the phonon gap remains independent of the number of ions placed in the trap keeping a fixed ion density around the trap center. We show that in the Aubry phase the phonon modes are much better localized comparing to the Cirac-Zoller and KAM cases. Thus in the Aubry phase the recoil pulses lead to local oscillations of ions while in other two phases they spread rapidly over the whole ion chains making them rather sensible to external fluctuations. We argue that the properties of localized phonon modes and phonon gap in the Aubry phase provide advantages for the ion quantum computations in this phase with a large number of ions.

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

Cited by 13 publications

References 32 publications

Structural lubricity in soft and hard matter systems

Structural lubricity in soft and hard matter systems

Thermoelectric properties of Wigner crystal in two-dimensional periodic potential

Properties of phonon modes of an ion-trap quantum computer in the Aubry phase

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