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dc.contributor.advisorHooley, Chris
dc.contributor.authorBeichert, Felicitas
dc.coverage.spatialviii, 103en_US
dc.date.accessioned2013-06-03T11:02:48Z
dc.date.available2013-06-03T11:02:48Z
dc.date.issued2013
dc.identifier.urihttp://hdl.handle.net/10023/3589
dc.description.abstractIn this thesis we analyse the Fisher zeros for various Ising models. We show that there is long-range spiral order on the contours of zeros for classical one-dimensional Ising chains and that there is an imaginary “latent heat” associated with crossing those contours. Then we can see how areas of Fisher zeros fill in as we turn the Ising chain into Ising ladders of different widths, which seems to contradict the standard analysis presented in the literature and can be attributed to a different approach to the thermodynamic limit. Finally, we report results on frustrated two-dimensional classical Ising lattices, in particular the triangular and the kagomé lattice, and the quantum Ising problem.en_US
dc.language.isoenen_US
dc.publisherUniversity of St Andrews
dc.subject.ddcQC174.85I8B4
dc.subject.lcshIsing modelen_US
dc.subject.lcshStatistical thermodynamicsen_US
dc.subject.lcshZero (The number)en_US
dc.titlePhases at complex temperature : spiral correlation functions and regions of Fisher zeros for Ising modelsen_US
dc.typeThesisen_US
dc.contributor.sponsorEngineering and Physical Sciences Research Council (EPSRC)en_US
dc.type.qualificationlevelDoctoralen_US
dc.type.qualificationnamePhD Doctor of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US


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