Dynamical quantum phase transitions in the Kitaev honeycomb model

  title={Dynamical quantum phase transitions in the Kitaev honeycomb model},
  author={Markus Schmitt and Stefan K. Kehrein},
  journal={Physical Review B},
The notion of a dynamical quantum phase transition (DQPT) was recently introduced [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)] as the nonanalytic behavior of the Loschmidt echo at critical times in the thermodynamic limit. In this work the quench dynamics in the ground state sector of the two-dimensional Kitaev honeycomb model is studied regarding the occurrence of DQPTs. For general two-dimensional systems of BCS type it is demonstrated how the zeros of the Loschmidt echo coalesce to… 

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Lectures on Theoretical Physics

Vorlesungen über theoretische PhysikVon Prof. Arnold Sommerfeld. Band 1: Mechanik. Vierte, neubearbeitete Auflage. Pp. xii + 276. 18 D. marks. Band 2: Mechanik der deformierbaren Medien. Pp. xv + 376


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  • 2014


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  • Rev. B 87, 195104
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  • Rev. 87, 404
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  • 2007


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  • 2014