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[Fizinfo] Stat Fiz Szeminarium

Chronological Thread 
  • From: StatFizSzeminar <statfiz AT>
  • To: fizinfo AT
  • Subject: [Fizinfo] Stat Fiz Szeminarium
  • Date: Fri, 10 Apr 2015 10:43:38 +0200

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ELTE TTK Fizikai Intézet

2015. április 15.
szerda, 11 óra

Halász Gábor

Rudolf Peierls Centre for Theoretical Physics, Oxford University

"Doping a topological quantum spin liquid:
slow holes in the Kitaev honeycomb model"

We present a controlled microscopic study of mobile holes in the spatially
anisotropic (Abelian) gapped phase of the Kitaev honeycomb model. We address
properties of (i) a single hole [its internal degrees of freedom as well as
hopping properties]; (ii) a pair of holes [their absolute and relative
statistics as well as their interactions]; and (iii) the collective state for
finite density of holes. Our main result is that the holes in the doped model
possess internal degrees of freedom as they can bind the fractionalized
excitations of the undoped model: composite holes with different excitations
bound are distinct fractionalized particles with fundamentally different
properties that have different signatures in the physical properties at finite
doping. For example: some holes are free to hop in two dimensions, while
are confined to hop in one dimension only; distinct hole types have different
particle statistics and, in particular, some of them exhibit non-trivial
(anyonic) relative statistics. At finite doping, the respective hopping
dimensionalities manifest themselves in an electrical conductivity that is
either approximately isotropic or extremely anisotropic.

1117, Budapest, Pázmány P. sétány 1/A, Északi tömb 2.54

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