Fetching the paper…
Reading the bibliography…
We develop the topological band theory for systems described by non-Hermitian Hamiltonians, whose energy spectra are generally complex.
T. Kato, Perturbation Theory for Linear Operators , Vol. 132 (Springer Science & Business Media, 1966)
1966
Earlier work this paper cites.
M. V. Keldysh, Russ. Math. Surv. 26
1971
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
M. V. Berry, Proc. R. Soc. A Math. Phys. Eng. Sci. 392
1984
Earlier work this paper cites.
M. Kohmoto, Ann. Phys. 160
1985
Earlier work this paper cites.
J. Garrison and E. Wright, Phys. Lett. A 128
1988
Earlier work this paper cites.
C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
C. Dembowski, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
F. Keck, H. J. Korsch, and S. Mossmann, J. Phys. A. Math. Gen. 36
2003
Earlier work this paper cites.
M. Berry, Czechoslov. J. Phys. 54
2004
Earlier work this paper cites.
C. Dembowski, B. Dietz, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, Phys. Rev. E 69
2004
Earlier work this paper cites.
C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
O. N. Kirillov, A. A. Mailybaev, and A. P. Seyranian, J. Phys. A. Math. Gen. 38
2005
Earlier work this paper cites.
A. A. Mailybaev, O. N. Kirillov, and A. P. Seyranian, Phys. Rev. A 72
2005
Earlier work this paper cites.
J. E. Moore and L. Balents, Phys. Rev. B 75
2007
Earlier work this paper cites.
L. Fu, C. L. Kane, and E. J. Mele, Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
L. Fu and C. L. Kane, Phys. Rev. B 76
2007
Earlier work this paper cites.
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Phys. Rev. B 78
2008
Earlier work this paper cites.
S. Klaiman, U. Günther, and N. Moiseyev, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
A. Kitaev, in AIP Conf. Proc. , Vol. 22 (AIP, 2009) pp. 22–30
2009
Earlier work this paper cites.
I. Rotter, J. Phys. A Math. Theor. 42
2009
Earlier work this paper cites.
S. Longhi, Phys. Rev. Lett. 103
2009
Cited alongside, same era.
A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103
2009
Cited alongside, same era.
Y. Choi, S. Kang, S. Lim, W. Kim, J.-R. Kim, J.-H. Lee, and K. An, Phys. Rev. Lett. 104
2010
Cited alongside, same era.
C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6
2010
Cited alongside, same era.
K. Esaki, M. Sato, K. Hasebe, and M. Kohmoto, Phys. Rev. B 84
2011
Cited alongside, same era.
Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106
2011
H. Hodaei, M.-A. Miri, M. Heinrich, D. N. Christodoulides, and M. Khajavikhan, Science 346
2014
Later among the works it cites.
L. Feng, Z. J. Wong, R.-M. Ma, Y. Wang, and X. Zhang, Science 346
2014
Later among the works it cites.
P. R. Kaprálová-Žďánská and N. Moiseyev, J. Chem. Phys. 141
2014
Later among the works it cites.
R. Susstrunk and S. D. Huber, Science 349
2015
Later among the works it cites.
B. Zhen, C. W. Hsu, Y. Igarashi, L. Lu, I. Kaminer, A. Pick, S.-L. Chua, J. D. Joannopoulos, and M. Soljačić, Nature 525
2015
Later among the works it cites.
H. Cao and J. Wiersig, Rev. Mod. Phys. 87
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
N. Moiseyev, Non-Hermitian Quantum Mechanics (Cambridge University Press, 2011)
2011
Cited alongside, same era.
R. Uzdin, A. Mailybaev, and N. Moiseyev, J. Phys. A Math. Theor. 44
2011
Cited alongside, same era.
M. V. Berry and R. Uzdin, J. Phys. A Math. Theor. 44
2011
Cited alongside, same era.
M. V. Berry, J. Opt. 13
2011
Cited alongside, same era.
M. Liertzer, L. Ge, A. Cerjan, A. D. Stone, H. E. Türeci, and S. Rotter, Phys. Rev. Lett. 108
2012
Cited alongside, same era.
L. Feng, Y.-L. Xu, W. S. Fegadolli, M.-H. Lu, J. E. B. Oliveira, V. R. Almeida, Y.-F. Chen, and A. Scherer, Nat. Mater. 12
2012
Cited alongside, same era.
T. Gao, E. Estrecho, K. Y. Bliokh, T. C. H. Liew, M. D. Fraser, S. Brodbeck, M. Kamp, C. Schneider, S. Höfling, Y. Yamamoto, F. Nori, Y. S. Kivshar, A. G. Truscott, R. G. Dall, and E. A. Ostrovskaya, Nature 526
2015
Later among the works it cites.
T. J. Milburn, J. Doppler, C. A. Holmes, S. Portolan, S. Rotter, and P. Rabl, Phys. Rev. A 92
2015
Later among the works it cites.
A. Bansil, H. Lin, and T. Das, Rev. Mod. Phys. 88
2016
Later among the works it cites.
C.-K. Chiu, J. C. Y. Teo, A. P. Schnyder, and S. Ryu, Rev. Mod. Phys. 88
2016
Later among the works it cites.
L. Lu, C. Fang, L. Fu, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, Nat. Phys. 12
2016
Later among the works it cites.
T. E. Lee, Phys. Rev. Lett. 116
2016
Later among the works it cites.
P. San-Jose, J. Cayao, E. Prada, and R. Aguado, Sci. Rep. 6
2016
Later among the works it cites.
J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, Nature 537
2016
Later among the works it cites.
H. Xu, D. Mason, L. Jiang, and J. G. E. Harris, Nature 537
2016
Later among the works it cites.
D. Leykam, K. Y. Bliokh, C. Huang, Y. D. Chong, and F. Nori, Phys. Rev. Lett. 118
2017
Closest in time.
H. Menke and M. M. Hirschmann, Phys. Rev. B 95
2017
Closest in time.
Y. Xu, S.-T. Wang, and L.-M. Duan, Phys. Rev. Lett. 118
2017
Closest in time.
J. González and R. A. Molina, Phys. Rev. B 96
2017
Closest in time.
W. Hu, H. Wang, P. P. Shum, and Y. D. Chong, Phys. Rev. B 95
2017
Closest in time.
A. U. Hassan, B. Zhen, M. Soljačić, M. Khajavikhan, and D. N. Christodoulides, Phys. Rev. Lett. 118
2017
Closest in time.