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A lattice model for topological phases
Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), Institutionen för ingenjörsvetenskap och fysik.
2013 (engelsk)Independent thesis Basic level (degree of Bachelor), 10 poäng / 15 hpOppgave
Abstract [en]

Matter exists in many different phases, for example in solid state or in liquid phase. There are also phases in which the ordering of atoms is the same, but which differ in some other respect, for example ferromagnetic and paramagnetic states. According to Landau's symmetry breaking theory every phase transition is connected to a symmetry breaking process. A solid material has discrete translational symmetry, while liquid phase has continuous translational symmetry. But it has turned out that there also exist phase transitions that can occur without a symmetry breaking. This phenomenon is called topological order. In this thesis we consider one example of a theoretical model constructed on a two dimensional lattice in which one obtains topological order.

sted, utgiver, år, opplag, sider
2013. , s. 25
Emneord [en]
topological order, topological phases, spin lattice model, anyons, quasiparticles, ribbon operators, degenerate ground state, quantum phases
HSV kategori
Identifikatorer
URN: urn:nbn:se:kau:diva-28281Lokal ID: FV:1OAI: oai:DiVA.org:kau-28281DiVA, id: diva2:633256
Fag / kurs
Physics
Presentation
2013-05-31, Karlstad, 13:15 (engelsk)
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Examiner
Tilgjengelig fra: 2013-07-01 Laget: 2013-06-26 Sist oppdatert: 2018-03-06bibliografisk kontrollert

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