Abstract：
:Topological states of matter are characterized by topological invariants, which are physical quantities whose values are quantized and do not depend on the details of the system (such as its shape, size and impurities). Of these quantities, the easiest to probe is the electrical Hall conductance, and fractional values (in units of e2/h, where e is the electronic charge and h is the Planck constant) of this quantity attest to topologically ordered states, which carry quasiparticles with fractional charge and anyonic statistics. Another topological invariant is the thermal Hall conductance, which is harder to measure. For the quantized thermal Hall conductance, a fractional value in units of κ0 (κ0 = π2kB2/(3h), where kB is the Boltzmann constant) proves that the state of matter is non-Abelian. Such non-Abelian states lead to ground-state degeneracy and perform topological unitary transformations when braided, which can be useful for topological quantum computation. Here we report measurements of the thermal Hall conductance of several quantum Hall states in the first excited Landau level and find that the thermal Hall conductance of the 5/2 state is compatible with a half-integer value of 2.5κ0, demonstrating its non-Abelian nature.
journal_name
Naturejournal_title
Natureauthors
Banerjee M,Heiblum M,Umansky V,Feldman DE,Oreg Y,Stern Adoi
10.1038/s41586-018-0184-1subject
Has Abstractpub_date
2018-07-01 00:00:00pages
205-210issue
7713eissn
0028-0836issn
1476-4687pii
10.1038/s41586-018-0184-1journal_volume
559pub_type
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