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Freezing of an unconventional two-dimensional plasma
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Statistical Physics.
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2013 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 87, no 7, 075117- p.Article in journal (Refereed) Published
Abstract [en]

We study an unconventional two-dimensional, two-component classical plasma on a sphere, with emphasis on detecting signatures of melting transitions. This system is relevant to Ising-type quantum Hall states, and is unconventional in the sense that it features particles interacting via two different two-dimensional Coulomb interactions. One species of particle in the plasma carries charge of both types (Q(1), Q(2)), while the other species carries only charge of the second type (0,-Q(2)). We find signatures of a freezing transition at Q(1)(2) similar or equal to 140. This means that the species with charge of both types will form a Wigner crystal, whereas the species with charge of the second type also shows signatures of being a Wigner crystal, due to the attractive intercomponent interaction of the second type. Moreover, there is also a Berezinskii-Kosterlitz-Thouless phase transition at Q(2)(2) similar or equal to 4, at which the two species of particles bind to form molecules that are neutral with respect to the second Coulomb interaction. These two transitions appear to be independent of each other, giving a rectangular phase diagram. As a special case, Q(2) = 0 describes the (conventional) two-dimensional one-component plasma. Our study is consistent with previous studies of this plasma, and sheds new light on the freezing transition of this system.

Place, publisher, year, edition, pages
2013. Vol. 87, no 7, 075117- p.
Keyword [en]
One-Component Plasma, 2 Dimensions, Monte-Carlo, Melting Transition, Vortex Lattice, Coulomb Gas, Systems, Phase, Superconductors, Simulations
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-119455DOI: 10.1103/PhysRevB.87.075117ISI: 000314874800010ScopusID: 2-s2.0-84874544582OAI: diva2:611687
Knut and Alice Wallenberg FoundationSwedish Research Council

QC 20130318

Available from: 2013-03-18 Created: 2013-03-14 Last updated: 2013-03-18Bibliographically approved

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