Formation of defects in multirow Wigner crystals

Klironomos, A. D.; Meyer, Jacques

doi:10.1103/physrevb.84.024117

Cited by 9 publications

(5 citation statements)

References 39 publications

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“…Similar structural transitions can be observed directly in trapped ion experiments [6]. For a growing number of particle chains the quasi-1D order depends critically on commensurability, as demonstrated in experiments with colloids [7], dusty plasmas [8], vortices in superconducting films [9] and electrons on liquid helium substrates [10], as well as numerical simulations [11][12][13]. However, the parameter range explored in such experiments is typically quite narrow, whilst simulations are limited by processor speed.…”

Section: Introductionsupporting

confidence: 52%

Structural order and melting of a quasi-one-dimensional electron system

et al. 2016

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We investigate the influence of confinement on the positional order of a quasi-1D electron system trapped on the surface of liquid helium. We find evidence that the melting of the Wigner solid (WS) depends on the confinement strength, as well as electron density and temperature. A reentrant solid-liquid-solid transition is observed for increasing electron density under constant electrostatic confinement. As the electron row number Ny changes, varying commensurability results in a modulation of the WS order, even when Ny is large (several tens). This is confirmed by Monte Carlo simulations.

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Section: Introductionsupporting

confidence: 52%

Structural order and melting of a quasi-one-dimensional electron system

et al. 2016

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“…The GS of the system of interacting particles in a Q1D channel consists of chain-like structures [12][13][14][15] , and the transitions between them are of first order 10,22,23 , with the exception of the zigzag transition between 1 to 2 chains which is of second order 12,13 . Some typical chainlike configurations are shown in Fig.…”

Section: Transitions Between Chain-like Structuresmentioning

confidence: 99%

“…The only second order transition in this sequence is the zigzag transition between one-and two-chain configuration, which has been extensively studied in classical [12][13][14][15][16] and quantum 6,[17][18][19][20][21] systems. A detailed analysis of the structural transitions for larger number of chains has to a lesser extent also been addressed 9,10,22,23 . Experimental findings in a colloidal Q1D system showed evidence of transitions from eight-up to five-chain configurations 22 .…”

Section: Introductionmentioning

confidence: 99%

Generic ordering of structural transitions in quasi-one-dimensional Wigner crystals

Galván-Moya

Peeters

2014

Phys. Rev. B

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We investigate the dependence of the structural phase transitions in an infinite quasi-onedimensional system of repulsively interacting particles on the profile of the confining channel. Three different functional expressions for the confinement potential related to real experimental systems are used that can be tuned continuously from a parabolic to a hard-wall potential in order to find a thorough understanding of the ordering of the chain-like structure transitions. We resolve the longstanding issue why the most theories predicted a 1-2-4-3-4 sequence of chain configurations with increasing density, while some experiments found the 1-2-3-4 sequence.

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“…Although this non-SOT has been found as the GS in a number of theoretical works 7,11,12 , it was not, to the best of our knowledge, observed in experiments so far. Instead, in the experiments they observed a direct transition from two-to three-chain configuration (2 → 3), allowing the system the follow a usual sequential order of transitions (SOT), with increasing linear density, as reported in the case of electrons on liquid He at low temperatures [13][14][15] and even in dusty plasma clusters 16 .…”

Section: Introductionmentioning

confidence: 59%

Chainlike transitions in Wigner crystals: Sequential versus nonsequential

Galván-Moya

Peeters

2015

Phys. Rev. B

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The structural transitions of the ground state of a system of repulsively interacting particles confined in a quasi-one-dimensional channel, and the effect of the interparticle interaction as well as the functional form of the confinement potential on those transitions are investigated. Although the non-sequential ordering of transitions (non-SOT), i.e. 1-2-4-3-4-5-6-... sequence of chain configurations with increasing density, is widely robust as predicted in a number of theoretical studies, the sequential ordering of transitions (SOT), i.e. 1-2-3-4-5-6-... chain, is found as the ground state for long-ranged interparticle interaction and hard-wall-like confinement potentials. We found an energy barrier between every two different phases around its transition point, which plays an important role in the preference of the system to follow either a SOT or a non-SOT. However, that preferential transition requires also the stability of the phases during the transition. Additionally, we analyze the effect of a small structural disorder on the transition between the two phases around its transition point. Our results show that a small deformation of the triangular structure, change dramatically the picture of the transition between two phases, removing in a considerable region the non-SOT in the system. This feature could explain the fact that the non-SOT is, up to now, not observed in experimental systems, and suggests a more advanced experimental set-up to detect the non-SOT.

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Formation of defects in multirow Wigner crystals

Cited by 9 publications

References 39 publications

Structural order and melting of a quasi-one-dimensional electron system

Structural order and melting of a quasi-one-dimensional electron system

Generic ordering of structural transitions in quasi-one-dimensional Wigner crystals

Chainlike transitions in Wigner crystals: Sequential versus nonsequential

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