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Topological Quantum Liquids with Long-Range Couplings.

  • Patrick K School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom.
  • Neupert T Department of Physics, University of Zurich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland.
  • Pachos JK School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom.
  • 2017-07-15
Published in:
  • Physical review letters. - 2017
English Very few topological systems with long-range couplings have been considered so far due to our lack of analytic approaches. Here we extend the Kitaev chain, a 1D quantum liquid, to infinite-range couplings and study its topological properties. We demonstrate that, even though topological phases are intimately linked to the notion of locality, the infinite-range couplings give rise to topological zero and nonzero energy Majorana end modes depending on the boundary conditions of the system. We show that the analytically derived properties are to a large degree stable against modifications to decaying long-range couplings. Our work opens new frontiers for topological states of matter that are relevant to current experiments, where systems with interactions of variable range can be designed.
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  • English
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hybrid
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https://sonar.ch/global/documents/191355
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