Freezing of an unconventional two-dimensional plasma
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
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.
One-Component Plasma, 2 Dimensions, Monte-Carlo, Melting Transition, Vortex Lattice, Coulomb Gas, Systems, Phase, Superconductors, Simulations
IdentifiersURN: urn:nbn:se:kth:diva-119455DOI: 10.1103/PhysRevB.87.075117ISI: 000314874800010ScopusID: 2-s2.0-84874544582OAI: oai:DiVA.org:kth-119455DiVA: diva2:611687
FunderKnut and Alice Wallenberg FoundationSwedish Research Council
QC 201303182013-03-182013-03-142013-03-18Bibliographically approved