@article{1446161,
      recid = {1446161},
      author = {Yokomizo, Kazuki,},
      title = {Non-Bloch band theory of non-Hermitian systems /},
      pages = {1 online resource (xiii, 92 pages) :},
      note = {"Doctoral Thesis accepted by Tokyo Institute of  Technology, Tokyo, Japan."},
      abstract = {This book constructs a non-Bloch band theory and studies  physics described by non-Hermitian Hamiltonian in terms of  the theory proposed here. In non-Hermitian crystals, the  author introduces the non-Bloch band theory which produces  an energy spectrum in the limit of a large system size. The  energy spectrum is then calculated from a generalized  Brillouin zone for a complex Bloch wave number. While a  generalized Brillouin zone becomes a unit circle on a  complex plane in Hermitian systems, it becomes a circle  with cusps in non-Hermitian systems. Such unique features  of the generalized Brillouin zone realize remarkable  phenomena peculiar in non-Hermitian systems. Further the  author reveals rich aspects of non-Hermitian physics in  terms of the non-Bloch band theory. First, a topological  invariant defined by a generalized Brillouin zone implies  the appearance of topological edge states. Second, a  topological semimetal phase with exceptional points  appears, The topological semimetal phase is unique to  non-Hermitian systems because it is caused by the  deformation of the generalized Brillouin zone by changes of  system parameters. Third, the author reveals a certain  relationship between the non-Bloch waves and non-Hermitian  topology.},
      url = {http://library.usi.edu/record/1446161},
      doi = {https://doi.org/10.1007/978-981-19-1858-2},
}