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Composite Dirac liquids: parent states for symmetric surface topological order | David F. Mross
; Andrew Essin
; Jason Alicea
; | Date: |
15 Oct 2014 | Abstract: | We introduce exotic gapless states---’composite Dirac liquids’---that can
appear at a strongly interacting surface of a three-dimensional electronic
topological insulator. Composite Dirac liquids exhibit a gap to all charge
excitations but nevertheless feature a single massless Dirac cone built from
emergent electrically neutral fermions. These states thus comprise electrical
insulators that, interestingly, retain thermal properties similar to those of
the non-interacting topological insulator surface. A variety of novel fully
gapped phases naturally descend from composite Dirac liquids. Most remarkably,
we show that gapping the neutral fermions via Cooper pairing---which crucially
does not violate charge conservation---yields symmetric non-Abelian
topologically ordered surface phases captured in several recent works. Other
(Abelian) topological orders emerge upon alternatively gapping the neutral
Dirac cone with magnetism. We establish a hierarchical relationship between
these descendant phases and expose an appealing connection to paired states of
composite Fermi liquids arising in the half-filled Landau level of
two-dimensional electron gases. To controllably access these states we exploit
a quasi-1D deformation of the original electronic Dirac cone that enables us to
analytically address the fate of the strongly interacting surface. The
algorithm we develop applies quite broadly and further allows the construction
of symmetric surface topological orders for recently introduced bosonic
topological insulators. | Source: | arXiv, 1410.4201 | Services: | Forum | Review | PDF | Favorites |
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