%0 Generic %1 Ghosh2011 %A Ghosh, Pijush K. %D 2011 %K topo %T A note on topological insulator phase in non-hermitian quantum systems %U http://arxiv.org/abs/1109.1697 %X Examples of non-hermitian quantum systems admitting topological insulator phase are presented in one, two and three space dimensions. All of these non-hermitian Hamiltonians have entirely real bulk eigenvalues and unitarity is maintained with the introduction of appropriate inner-products in the corresponding Hilbert spaces. The topological invariant characterizing a particular phase is shown to be identical for a non-hermitian Hamiltonian and its hermitian counterpart, to which it is related through a non-unitary similarity transformation. A classification scheme for topological insulator phases in pseudo-hermitian quantum systems is suggested.

@misc{Ghosh2011, abstract = { Examples of non-hermitian quantum systems admitting topological insulator phase are presented in one, two and three space dimensions. All of these non-hermitian Hamiltonians have entirely real bulk eigenvalues and unitarity is maintained with the introduction of appropriate inner-products in the corresponding Hilbert spaces. The topological invariant characterizing a particular phase is shown to be identical for a non-hermitian Hamiltonian and its hermitian counterpart, to which it is related through a non-unitary similarity transformation. A classification scheme for topological insulator phases in pseudo-hermitian quantum systems is suggested. }, added-at = {2011-09-13T00:55:50.000+0200}, author = {Ghosh, Pijush K.}, biburl = {https://www.bibsonomy.org/bibtex/29f1cb7de4b4c2c18335f90c4ddfaa9da/vakaryuk}, description = {A note on topological insulator phase in non-hermitian quantum systems}, interhash = {d10e202171e591bdfb3bbd58f3e0fe3a}, intrahash = {9f1cb7de4b4c2c18335f90c4ddfaa9da}, keywords = {topo}, note = {cite arxiv:1109.1697 Comment: Latex, 11 pages, no figure}, timestamp = {2011-09-13T00:55:50.000+0200}, title = {A note on topological insulator phase in non-hermitian quantum systems}, url = {http://arxiv.org/abs/1109.1697}, year = 2011 }