• Acta Physica Sinica
  • Vol. 68, Issue 10, 104206-1 (2019)
Nan Xu and Yan Zhang*
DOI: 10.7498/aps.68.20190112 Cite this Article
Nan Xu, Yan Zhang. Topological edge states with skin effect in a trimerized non-Hermitian lattice[J]. Acta Physica Sinica, 2019, 68(10): 104206-1 Copy Citation Text show less
References

[1] Klitzing K, Dorda G, Pepper M[J]. Phys. Rev. Lett., 45, 494(1980).

[2] Klitzing K[J]. Rev. Mod. Phys., 58, 519(1986).

[3] Haldane F D M[J]. Phys. Rev. Lett., 61, 2015(1988).

[4] Haldane F D M, Raghu S[J]. Phys. Rev. Lett., 100, 013904(2008).

[5] Raghu S, Haldane F D M[J]. Phys. Rev. A, 78, 033834(2008).

[6] Chang C Z, Zhang J S, Feng X, Xue Q K[J]. Sci. Rep., 340, 6129(2013).

[7] Goldman N, Budich J C, Zoller P[J]. Nat. Phys., 12, 639(2016).

[8] Sun X C, He C, Lu M H, Chen Y F[J]. Acta Phys. Sin., 22, 224203(2017).

[9] Zhang W F, Li C Y, Chen X F, Huang C M, Ye F W[J]. Acta Phys. Sin., 22, 220201(2017).

[10] Chen X H, Wang X J[J]. Acta Phys. Sin., 19, 190301(2018).

[11] Aubry S, Andreé G, Isr A[J]. Phys. Soc., 322, 235(1980).

[12] harper P G[J]. Proc. Phys. Soc. London Sect. A, 68, 874(1955).

[13] Lahini Y, Pugatch R, Pozzi F, Sorel M, Morandotti R, Davidson N, Silberberg Y[J]. Phys. Rev. Lett., 103, 013901(2009).

[14] Biddle J, Wang B, Priour D J, Sarma S D[J]. Phys. Rev. A, 80, 021603 (R)(2009).

[15] Ganeshan S, Sun K, Sarma S D[J]. Phys. Rev. Lett., 110, 180403(2013).

[16] Hatano N, Nelson D R[J]. Phys. Rev. B, 56, 8651(1997).

[17] Hatano N, Nelson D R[J]. Phys. Rev. B, 58, 8384(1998).

[18] Yurkevich I V, Lerner I V[J]. Phys. Rev. Lett., 82, 5080(1999).

[19] Bender C M, Boettcher S[J]. Phys. Rev. Lett., 80, 5243(1998).

[20] Dorey P, Dunning C, Tateo R[J]. J. Phys. A, 34, 5679(2001).

[21] Mostafazadeh A[J]. J. Math. Phys., 43, 205(2002).

[22] Jones H F[J]. J. Phys. A, 38, 1741(2005).

[23] Klaiman S, Günther U, Moiseyev N[J]. Phys. Rev. Lett., 101, 080402(2008).

[24] Znojil M[J]. Phys. Rev. D, 78, 025026(2008).

[25] Jin L, Song Z[J]. Phys. Rev. A, 80, 052107(2009).

[26] Rotter I[J]. J. Phys. A: Math. Theor., 42, 124206(2009).

[27] Moiseyev N 2011 Non-Hermitian Quantum Mechanics (Cambridge: Cambridge University) pp 211—247

[28] Joqlekar Y N, Barnett J L[J]. Phys. Rev. A, 84, 024103(2011).

[29] Longhi S, Valle G D[J]. Phys. Rev. A, 85, 012112(2012).

[30] Longhi S[J]. Phys. Rev. A, 88, 052102(2013).

[31] Longhi S[J]. Phys. Rev. A, 94, 022102(2016).

[32] Jin L, Xin F[J]. Phys. Rev. A, 97, 012121(2017).

[33] Zhu B G, Lü R, Chen S[J]. Phys. Rev. A, 89, 062102(2014).

[34] Xing Y, Qi L, Cao J, Wang D Y, Bai C H, Wang H F, Zhu A D, Zhang S[J]. Phys. Rev. A, 96, 043810(2017).

[35] Zhou Y H, Shen H Z, Zhang X Y, Yi X X[J]. Phys. Rev. A, 97, 043819(2018).

[36] Schomerus H, Wiersig J[J]. Phys. Rev. A, 90, 053819(2014).

[37] Cheng Q, Pan Y, Wang Q, Li T, Zhu S[J]. Laser Photonics Rev., 9, 392(2015).

[38] Longhi S, Gatti D, Della Valle G[J]. Phys. Rev. B, 92, 094204(2015).

[39] Martinez Alvarez V M, Barrios Vargas J E, [J]. Phys. Rev. B, 97, 121401(R)(2018).

[40] Yao S Y, Wang Z[J]. Phys. Rev. Lett., 121, 086803(2018).

[41] Jin L[J]. Phys. Rev. A, 96, 032103(2017).

Nan Xu, Yan Zhang. Topological edge states with skin effect in a trimerized non-Hermitian lattice[J]. Acta Physica Sinica, 2019, 68(10): 104206-1
Download Citation