Built on

Ching Hua Lee, Tobias Hofmann, Tobias Helbig, Yuhan Liu, Xiao Zhang, Martin Greiter, and Ronny Thomale, “Imaging nodal knots in momentum space through topolectrical circuits,” arXiv preprint arXiv:1904.10183 (2019b)
Original
1904
Earlier work this paper cites.
Zhesen Yang, Kai Zhang, Chen Fang, and Jiangping Hu, “Auxiliary generalized brillouin zone method in non-hermitian band theory,” 1912.05499v1
Original
1912
Earlier work this paper cites.
Xi-Wang Luo and Chuanwei Zhang, “Non-hermitian disorder-induced topological insulators,” 1912.10652v1
Original
1912
Earlier work this paper cites.
Ching Hua Lee, Linhu Li, Ronny Thomale, and Jiangbin Gong, “Unraveling non-hermitian pumping: emergent spectral singularities and anomalous responses,” 1912.06974v2
Original
1912
Earlier work this paper cites.
W. P. Su, J. R. Schrieffer, and A. J. Heeger, “Solitons in polyacetylene,” Phys. Rev. Lett. 42
1979
Earlier work this paper cites.
Naomichi Hatano and David R. Nelson, “Localization transitions in non-hermitian quantum mechanics,” Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
Yanxia Liu and Shu Chen, “Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes,” 2001.05688v1
Original
2001
Earlier work this paper cites.
Linhu Li, Ching Hua Lee, Sen Mu, and Jiangbin Gong, “Critical non-hermitian skin effect,” 2003.03039v1
Original
2003
Earlier work this paper cites.
Jan Carl Budich and Emil J. Bergholtz, “Non-hermitian topological sensors,” 2003.13699v1
Original
2003
Earlier work this paper cites.
Michael Fleischhauer, Atac Imamoglu, and Jonathan P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77
2005
Earlier work this paper cites.
Jia Ningyuan, Clai Owens, Ariel Sommer, David Schuster, and Jonathan Simon, “Time-and site-resolved dynamics in a topological circuit,” Phys. Rev. X 5
2015
Earlier work this paper cites.
Shunyu Yao and Zhong Wang, “Edge states and topological invariants of non-hermitian systems,” Phys. Rev. Lett. 121
2018
Earlier work this paper cites.
Ye Xiong, “Why does bulk boundary correspondence fail in some non-hermitian topological models,” Journal of Physics Communications 2
2018
Earlier work this paper cites.
Stefan Imhof, Christian Berger, Florian Bayer, Johannes Brehm, Laurens W Molenkamp, Tobias Kiessling, Frank Schindler, Ching Hua Lee, Martin Greiter, Titus Neupert, et al. , “Topolectrical-circuit realization of topological corner modes,” Nature Physics 14
2018
Earlier work this paper cites.
Kazuki Yokomizo and Shuichi Murakami, “Non-bloch band theory of non-hermitian systems,” Physical review letters 123
2019
Earlier work this paper cites.
Ching Hua Lee and Ronny Thomale, “Anatomy of skin modes and topology in non-hermitian systems,” Phys. Rev. B 99
2019
Earlier work this paper cites.
Flore K Kunst and Vatsal Dwivedi, “Non-hermitian systems and topology: A transfer-matrix perspective,” Physical Review B 99
2019
Earlier work this paper cites.
Elisabet Edvardsson, Flore K Kunst, and Emil J Bergholtz, “Non-hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence,” Physical Review B 99
2019
Earlier work this paper cites.
Kai Zhang, Zhesen Yang, and Chen Fang, “Correspondence between winding numbers and skin modes in non-hermitian systems,” arXiv preprint arXiv:1910.01131 (2019)
Original
2019
Earlier work this paper cites.

Similar

Martin Brandenbourger, Xander Locsin, Edan Lerner, and Corentin Coulais, “Non-reciprocal robotic metamaterials,” Nature communications 10
2019
Cited alongside, same era.
Sen Mu, Ching Hua Lee, Linhu Li, and Jiangbin Gong, “Emergent fermi surface in a many-body non-hermitian fermionic chain,” arXiv preprint arXiv:1911.00023 (2019)
Original
2019
Cited alongside, same era.
Linhu Li, Ching Hua Lee, and Jiangbin Gong, “Geometric characterization of non-hermitian topological systems through the singularity ring in pseudospin vector space,” Physical Review B 100
2019
Cited alongside, same era.
Martí Bosch, Simon Malzard, Martina Hentschel, and Henning Schomerus, “Non-hermitian defect states from lifetime differences,” Physical Review A 100
2019
Cited alongside, same era.
Chun-Hui Liu and Shu Chen, “Topological classification of defects in non-hermitian systems,” Physical Review B 100

Then

Matheus IN Rosa and Massimo Ruzzene, “Dynamics and topology of non-hermitian elastic lattices with non-local feedback control interactions,” New Journal of Physics 22
2020
Closest in time.
Tsuneya Yoshida, Tomonari Mizoguchi, and Yasuhiro Hatsugai, “Mirror skin effect and its electric circuit simulation,” Physical Review Research 2
2020
Closest in time.
Yifei Yi and Zhesen Yang, “Non-hermitian skin modes induced by on-site dissipations and chiral tunneling effect,” arXiv preprint arXiv:2003.02219 (2020)
Original
2020
Closest in time.
Lei Xiao, Tianshu Deng, Kunkun Wang, Gaoyan Zhu, Zhong Wang, Wei Yi, and Peng Xue, “Non-hermitian bulk–boundary correspondence in quantum dynamics,” Nature Physics , 1–6 (2020)
2020
Closest in time.
Linhu Li, Ching Hua Lee, and Jiangbin Gong, “Topological switch for non-hermitian skin effect in cold-atom systems with loss,” Physical Review Letters 124

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Reading the bibliography…

2020

Impurity induced scale-free localization

Li, Linhu, Lee, Ching Hua, Gong, Jiangbin

Understand

This work develops a full framework for non-Hermitian impurity physics in a non-reciprocal lattice, with PBCs, OBCs and even their interpolations being special cases across a whole range of boundary impurity strengths.

As the impurity strength is tuned, the localization of steady states can assume very rich behavior, including the expected non-Hermitian skin effect, Bloch-like states albeit broken translational invariance, and surprisingly, scale-free accumulation along or even against the direction of non-reciprocity.
We further uncover the possibility of the co-existence of non-Hermitian skin effect and scale-free localization, where qualitative aspects of the system's spectrum can be extremely sensitive to impurity strength.
We have also proposed specific circuit setups for experimental detection of the scale-free accumulation, with simulation results confirming our main findings.

Built on

Ching Hua Lee, Tobias Hofmann, Tobias Helbig, Yuhan Liu, Xiao Zhang, Martin Greiter, and Ronny Thomale, “Imaging nodal knots in momentum space through topolectrical circuits,” arXiv preprint arXiv:1904.10183 (2019b)
Original
1904
Earlier work this paper cites.
Zhesen Yang, Kai Zhang, Chen Fang, and Jiangping Hu, “Auxiliary generalized brillouin zone method in non-hermitian band theory,” 1912.05499v1
Original
1912
Earlier work this paper cites.
Xi-Wang Luo and Chuanwei Zhang, “Non-hermitian disorder-induced topological insulators,” 1912.10652v1
Original
1912
Earlier work this paper cites.
Ching Hua Lee, Linhu Li, Ronny Thomale, and Jiangbin Gong, “Unraveling non-hermitian pumping: emergent spectral singularities and anomalous responses,” 1912.06974v2
Original
1912
Earlier work this paper cites.
W. P. Su, J. R. Schrieffer, and A. J. Heeger, “Solitons in polyacetylene,” Phys. Rev. Lett. 42
1979
Earlier work this paper cites.
Naomichi Hatano and David R. Nelson, “Localization transitions in non-hermitian quantum mechanics,” Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
Yanxia Liu and Shu Chen, “Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes,” 2001.05688v1
Original
2001
Earlier work this paper cites.
Linhu Li, Ching Hua Lee, Sen Mu, and Jiangbin Gong, “Critical non-hermitian skin effect,” 2003.03039v1
Original
2003
Earlier work this paper cites.
Jan Carl Budich and Emil J. Bergholtz, “Non-hermitian topological sensors,” 2003.13699v1
Original
2003
Earlier work this paper cites.
Michael Fleischhauer, Atac Imamoglu, and Jonathan P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77
2005
Earlier work this paper cites.
Jia Ningyuan, Clai Owens, Ariel Sommer, David Schuster, and Jonathan Simon, “Time-and site-resolved dynamics in a topological circuit,” Phys. Rev. X 5
2015
Earlier work this paper cites.
Shunyu Yao and Zhong Wang, “Edge states and topological invariants of non-hermitian systems,” Phys. Rev. Lett. 121
2018
Earlier work this paper cites.
Ye Xiong, “Why does bulk boundary correspondence fail in some non-hermitian topological models,” Journal of Physics Communications 2
2018
Earlier work this paper cites.
Stefan Imhof, Christian Berger, Florian Bayer, Johannes Brehm, Laurens W Molenkamp, Tobias Kiessling, Frank Schindler, Ching Hua Lee, Martin Greiter, Titus Neupert, et al. , “Topolectrical-circuit realization of topological corner modes,” Nature Physics 14
2018
Earlier work this paper cites.
Kazuki Yokomizo and Shuichi Murakami, “Non-bloch band theory of non-hermitian systems,” Physical review letters 123
2019
Earlier work this paper cites.
Ching Hua Lee and Ronny Thomale, “Anatomy of skin modes and topology in non-hermitian systems,” Phys. Rev. B 99
2019
Earlier work this paper cites.
Flore K Kunst and Vatsal Dwivedi, “Non-hermitian systems and topology: A transfer-matrix perspective,” Physical Review B 99
2019
Earlier work this paper cites.
Elisabet Edvardsson, Flore K Kunst, and Emil J Bergholtz, “Non-hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence,” Physical Review B 99
2019
Earlier work this paper cites.
Kai Zhang, Zhesen Yang, and Chen Fang, “Correspondence between winding numbers and skin modes in non-hermitian systems,” arXiv preprint arXiv:1910.01131 (2019)
Original
2019
Earlier work this paper cites.

Similar

Martin Brandenbourger, Xander Locsin, Edan Lerner, and Corentin Coulais, “Non-reciprocal robotic metamaterials,” Nature communications 10
2019
Cited alongside, same era.
Sen Mu, Ching Hua Lee, Linhu Li, and Jiangbin Gong, “Emergent fermi surface in a many-body non-hermitian fermionic chain,” arXiv preprint arXiv:1911.00023 (2019)
Original
2019
Cited alongside, same era.
Linhu Li, Ching Hua Lee, and Jiangbin Gong, “Geometric characterization of non-hermitian topological systems through the singularity ring in pseudospin vector space,” Physical Review B 100
2019
Cited alongside, same era.
Martí Bosch, Simon Malzard, Martina Hentschel, and Henning Schomerus, “Non-hermitian defect states from lifetime differences,” Physical Review A 100
2019
Cited alongside, same era.
Chun-Hui Liu and Shu Chen, “Topological classification of defects in non-hermitian systems,” Physical Review B 100

Then

Matheus IN Rosa and Massimo Ruzzene, “Dynamics and topology of non-hermitian elastic lattices with non-local feedback control interactions,” New Journal of Physics 22
2020
Closest in time.
Tsuneya Yoshida, Tomonari Mizoguchi, and Yasuhiro Hatsugai, “Mirror skin effect and its electric circuit simulation,” Physical Review Research 2
2020
Closest in time.
Yifei Yi and Zhesen Yang, “Non-hermitian skin modes induced by on-site dissipations and chiral tunneling effect,” arXiv preprint arXiv:2003.02219 (2020)
Original
2020
Closest in time.
Lei Xiao, Tianshu Deng, Kunkun Wang, Gaoyan Zhu, Zhong Wang, Wei Yi, and Peng Xue, “Non-hermitian bulk–boundary correspondence in quantum dynamics,” Nature Physics , 1–6 (2020)
2020
Closest in time.
Linhu Li, Ching Hua Lee, and Jiangbin Gong, “Topological switch for non-hermitian skin effect in cold-atom systems with loss,” Physical Review Letters 124

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2019

Cited alongside, same era.

Stefano Longhi, “Topological phase transition in non-hermitian quasicrystals,” Physical Review Letters 122

2019

Cited alongside, same era.

Hui Jiang, Li-Jun Lang, Chao Yang, Shi-Liang Zhu, and Shu Chen, “Interplay of non-hermitian skin effects and anderson localization in nonreciprocal quasiperiodic lattices,” Physical Review B 100

2019

Cited alongside, same era.

Tobias Helbig, Tobias Hofmann, Ching Hua Lee, Ronny Thomale, Stefan Imhof, Laurens W Molenkamp, and Tobias Kiessling, “Band structure engineering and reconstruction in electric circuit networks,” Physical Review B 99

2019

Cited alongside, same era.

Tobias Hofmann, Tobias Helbig, Ching Hua Lee, Martin Greiter, and Ronny Thomale, “Chiral voltage propagation and calibration in a topolectrical chern circuit,” Physical review letters 122

2019

Cited alongside, same era.

Tejas Kotwal, Henrik Ronellenfitsch, Fischer Moseley, Alexander Stegmaier, Ronny Thomale, and Jörn Dunkel, “Active topolectrical circuits,” arXiv preprint arXiv:1903.10130 (2019)

Original

2019

Cited alongside, same era.

Yuehui Lu, Ningyuan Jia, Lin Su, Clai Owens, Gediminas Juzeliūnas, David I Schuster, and Jonathan Simon, “Probing the berry curvature and fermi arcs of a weyl circuit,” Physical Review B 99

2019

Cited alongside, same era.

Jiacheng Bao, Deyuan Zou, Weixuan Zhang, Wenjing He, Houjun Sun, and Xiangdong Zhang, “Topoelectrical circuit octupole insulator with topologically protected corner states,” Physical Review B 100

2019

Cited alongside, same era.

2020

Closest in time.

Henning Schomerus, “Nonreciprocal response theory of non-hermitian mechanical metamaterials: Response phase transition from the skin effect of zero modes,” Physical Review Research 2

2020

Closest in time.

Nobuyuki Okuma, Kohei Kawabata, Ken Shiozaki, and Masatoshi Sato, “Topological origin of non-hermitian skin effects,” Phys. Rev. Lett. 124

2020

Closest in time.

Rebekka Koch and Jan Carl Budich, “Bulk-boundary correspondence in non-hermitian systems: stability analysis for generalized boundary conditions,” The European Physical Journal D 74

2020

Closest in time.

Wei Xin Teo Teo, Linhu Li, Xizheng Zhang, and Jiangbin Gong, “Topological characterization of non-hermitian multiband systems using majorana’s stellar representation,” Physical Review B 101

2020

Closest in time.

L. B. Fu X. X. Yi X. L. Zhao, L. B. Chen, “Topological phase transition of non‐hermitian crosslinked chain,” Annalen der Physik 532

2020

Closest in time.

Qi-Bo Zeng, Yan-Bin Yang, and Yong Xu, “Topological phases in non-hermitian aubry-andré-harper models,” Physical Review B 101

2020

Closest in time.

Jahan Claes and Taylor L Hughes, “Skin effect and winding number in disordered non-hermitian systems,” arXiv preprint arXiv:2007.03738 (2020)

Original

2020

Closest in time.

Alexander McDonald and Aashish A Clerk, “Exponentially-enhanced quantum sensing with non-hermitian lattice dynamics,” arXiv preprint arXiv:2004.00585 (2020)

Original

2020

Closest in time.

T Helbig, T Hofmann, S Imhof, M Abdelghany, T Kiessling, LW Molenkamp, CH Lee, A Szameit, M Greiter, and R Thomale, “Generalized bulk–boundary correspondence in non-hermitian topolectrical circuits,” Nature Physics , 1–4 (2020)

2020

Closest in time.

Tobias Hofmann, Tobias Helbig, Frank Schindler, Nora Salgo, Marta Brzezińska, Martin Greiter, Tobias Kiessling, David Wolf, Achim Vollhardt, Anton Kabaši, et al. , “Reciprocal skin effect and its realization in a topolectrical circuit,” Physical Review Research 2

2020

Closest in time.

Sebastian Weidemann, Mark Kremer, Tobias Helbig, Tobias Hofmann, Alexander Stegmaier, Martin Greiter, Ronny Thomale, and Alexander Szameit, “Efficient light funneling based on the non-hermitian skin effect,” arXiv preprint arXiv:2004.01990 (2020)

Original

2020

Closest in time.

Nikita A Olekhno, Egor I Kretov, Andrei A Stepanenko, Polina A Ivanova, Vitaly V Yaroshenko, Ekaterina M Puhtina, Dmitry S Filonov, Barbara Cappello, Ladislau Matekovits, and Maxim A Gorlach, “Topological edge states of interacting photon pairs emulated in a topolectrical circuit,” Nature Communications 11

2020

Closest in time.

Weixuan Zhang, Deyuan Zou, Wenjing He, Jiacheng Bao, Qingsong Pei, Houjun Sun, and Xiangdong Zhang, “Topolectrical-circuit realization of 4d hexadecapole insulator,” arXiv preprint arXiv:2001.07931 (2020)

Original

2020

Closest in time.