ELFT HÍRADÓ

[StatFizSzeminar <statfiz AT glu.elte.hu>]

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                    ELTE TTK Fizikai Intézet
                STATISZTIKUS FIZIKAI SZEMINÁRIUM


                        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 
the
properties of (i) a single hole [its internal degrees of freedom as well as 
its
hopping properties]; (ii) a pair of holes [their absolute and relative 
particle
statistics as well as their interactions]; and (iii) the collective state for 
a
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 
others
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.


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