Built on

Chuanchang Zeng, T. D. Stanescu, Chuanwei Zhang, V. W. Scarola, and Sumanta Tewari, “Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices,” arXiv e-prints , arXiv:1901.04466 (2019), arXiv:1901.04466 [cond-mat.mes-hall]
Original
1901
Earlier work this paper cites.
Ranjani Seshadri, Anirban Dutta, and Diptiman Sen, “Generating a second-order topological insulator with multiple corner states by periodic driving,” arXiv e-prints , arXiv:1901.10495 (2019), arXiv:1901.10495 [cond-mat.mes-hall]
Original
1901
Earlier work this paper cites.
Mason J. Gray, Josef Freudenstein, Shu Yang F. Zhao, Ryan OConnor, Samuel Jenkins, Narendra Kumar, Marcel Hoek, Abigail Kopec, Takashi Taniguchi, Kenji Watanabe, Ruidan Zhong, G. D. Gu, and K. S. Burch, “Evidence for Helical Hinge Zero Modes in an Fe-Based Superconductor,” arXiv e-prints , arXiv:1902.10723 (2019), arXiv:1902.10723 [cond-mat.supr-con]
Original
1902
Earlier work this paper cites.
Yuanfeng Xu, Zhida Song, Zhijun Wang, Hongming Weng, and Xi Dai, “Higher-order Topology of Axion Insulator EuIn$_2$As$_2$,” arXiv e-prints , arXiv:1903.09856 (2019), arXiv:1903.09856 [cond-mat.mtrl-sci]
Original
1903
Earlier work this paper cites.
Xi-Wang Luo and Chuanwei Zhang, “Higher-order topological corner states induced by gain and loss,” arXiv e-prints , arXiv:1903.02448 (2019), arXiv:1903.02448 [cond-mat.mes-hall]
Original
1903
Earlier work this paper cites.
Xian-Lei Sheng, Cong Chen, Huiying Liu, Ziyu Chen, Y. X. Zhao, Zhi-Ming Yu, and Shengyuan A. Yang, “Two-dimensional second-order topological insulator in graphdiyne,” arXiv e-prints , arXiv:1904.09985 (2019), arXiv:1904.09985 [cond-mat.mes-hall]
Original
1904
Earlier work this paper cites.
Eunwoo Lee, Rokyeon Kim, Junyeong Ahn, and Bohm-Jung Yang, “Higher-Order Band Topology and Corner Charges in Monolayer Graphdiyne,” arXiv e-prints , arXiv:1904.11452 (2019), arXiv:1904.11452 [cond-mat.mtrl-sci]
Original
1904
Earlier work this paper cites.
Rui Chen, Chui-Zhen Chen, Jin-Hua Gao, Bin Zhou, and Dong-Hui Xu, “Higher-Order Topological Insulators in Quasicrystals,” arXiv e-prints , arXiv:1904.09932 (2019), arXiv:1904.09932 [cond-mat.mes-hall]
Original
1904
Earlier work this paper cites.
Tanay Nag, Vladimir Juricic, and Bitan Roy, “Higher-order topological insulator out of equilibrium: Floquet engineering and quench dynamics,” arXiv e-prints , arXiv:1904.07247 (2019), arXiv:1904.07247 [cond-mat.mes-hall]
Original
1904
Earlier work this paper cites.
Raditya Weda Bomantara and Jiangbin Gong, “Measurement-only quantum computation with Majorana corner modes,” arXiv e-prints , arXiv:1904.03161 (2019), arXiv:1904.03161 [quant-ph]
Original
1904
Earlier work this paper cites.
Tudor E. Pahomi, Manfred Sigrist, and Alexey A. Soluyanov, “Braiding Majorana corner modes in a two-layer second-order topological insulator,” arXiv e-prints , arXiv:1904.07822 (2019), arXiv:1904.07822 [cond-mat.mes-hall]
Original
1904
Earlier work this paper cites.
Majid Kheirkhah, Yuki Nagai, Chun Chen, and Frank Marsiglio, “Majorana corner flat bands in two-dimensional second-order topological superconductors,” arXiv e-prints , arXiv:1904.00990 (2019), arXiv:1904.00990 [cond-mat.supr-con]
Original
1904
Earlier work this paper cites.
Koji Kudo, Tsuneya Yoshida, and Yasuhiro Hatsugai, “Higher-order Topological Mott Insulators,” arXiv e-prints , arXiv:1905.03484 (2019), arXiv:1905.03484 [cond-mat.str-el]
Original
1905
Earlier work this paper cites.
Haiping Hu, Biao Huang, Erhai Zhao, and W. Vincent Liu, “Dynamical singularities of Floquet higher-order topological insulators,” arXiv e-prints , arXiv:1905.03727 (2019), arXiv:1905.03727 [cond-mat.mes-hall]
Original
1905
Earlier work this paper cites.
Kirill Plekhanov, Manisha Thakurathi, Daniel Loss, and Jelena Klinovaja, “Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance,” arXiv e-prints , arXiv:1905.09241 (2019), arXiv:1905.09241 [cond-mat.mes-hall]
Original
1905
Earlier work this paper cites.
Ya-Jie Wu, Junpeng Hou, Yun-Mei Li, Xi-Wang Luo, and Chuanwei Zhang, “In-plane Zeeman field induced Majorana corner and hinge modes in an $s$-wave superconductor heterostructure,” arXiv e-prints , arXiv:1905.08896 (2019), arXiv:1905.08896 [cond-mat.mes-hall]
Original
1905
Earlier work this paper cites.
Katharina Laubscher, Daniel Loss, and Jelena Klinovaja, “Fractional Topological Superconductivity and Parafermion Corner States,” arXiv e-prints , arXiv:1905.00885 (2019), arXiv:1905.00885 [cond-mat.mes-hall]
Original
1905
Earlier work this paper cites.
Song-Bo Zhang and Björn Trauzettel, “Detection of second-order topological superconductors by Josephson junctions,” arXiv e-prints , arXiv:1905.09308 (2019), arXiv:1905.09308 [cond-mat.supr-con]
Original
1905
Earlier work this paper cites.
A Yu Kitaev, “Unpaired majorana fermions in quantum wires,” Physics-Uspekhi 44
2001
Earlier work this paper cites.
Joel E. Moore, Ying Ran, and Xiao-Gang Wen, “Topological surface states in three-dimensional magnetic insulators,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, “ Colloquium
2010
Earlier work this paper cites.
Masatoshi Sato, “Topological odd-parity superconductors,” Phys. Rev. B 81
2010
Earlier work this paper cites.
Liang Fu and Erez Berg, “Odd-parity topological superconductors: Theory and application to cu x bi 2 se 3 {\mathrm{cu}}_{x}{\mathrm{bi}}_{2}{\mathrm{se}}_{3} ,” Phys. Rev. Lett. 105
2010
Earlier work this paper cites.

Similar

Xiao-Liang Qi and Shou-Cheng Zhang, “Topological insulators and superconductors,” Rev. Mod. Phys. 83
2011
Cited alongside, same era.
D.-L. Deng, S.-T. Wang, C. Shen, and L.-M. Duan, “Hopf insulators and their topologically protected surface states,” Phys. Rev. B 88
2013
Cited alongside, same era.
Ching-Kai Chiu, Jeffrey C. Y. Teo, Andreas P. Schnyder, and Shinsei Ryu, “Classification of topological quantum matter with symmetries,” Rev. Mod. Phys. 88
2016
Cited alongside, same era.
Chen Fang, Hongming Weng, Xi Dai, and Zhong Fang, “Topological nodal line semimetals,” Chinese Physics B 25
2016
Cited alongside, same era.
Zhida Song, Zhong Fang, and Chen Fang, “ ( d − 2 ) (d-2) -dimensional edge states of rotation symmetry protected topological states,” Phys. Rev. Lett. 119
2017
Cited alongside, same era.

Then

Yang Peng and Gil Refael, “Floquet second-order topological insulators from nonsymmorphic space-time symmetries,” arXiv e-prints , arXiv:1811.11752 (2018), arXiv:1811.11752 [cond-mat.mes-hall]
Original
2018
Later among the works it cites.
Martin Rodriguez-Vega, Abhishek Kumar, and Babak Seradjeh, “Higher-Order Floquet Topological Phases with Corner and Bulk Bound States,” arXiv e-prints , arXiv:1811.04808 (2018), arXiv:1811.04808 [cond-mat.mes-hall]
Original
2018
Later among the works it cites.
Ching Hua Lee, Linhu Li, and Jiangbin Gong, “Hybrid higher-order skin-topological modes in non-reciprocal systems,” arXiv e-prints , arXiv:1810.11824 (2018), arXiv:1810.11824 [cond-mat.mes-hall]
Original
2018
Later among the works it cites.
Y. You, D. Litinski, and F. von Oppen, “Higher order topological superconductors as generators of quantum codes,” ArXiv e-prints (2018), arXiv:1810.10556 [cond-mat.str-el]
Original
2018
Later among the works it cites.

Beyond the bibliography

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2019

Higher-order topological odd-parity superconductors

Yan, Zhongbo

Understand

The topological property of a gapped odd-parity superconductor is jointly determined by its pairing nodes and Fermi surfaces in normal state.

We reveal that the contractibility of Fermi surfaces without crossing any time-reversal invariant momentum and the presence of nontrivial Berry phase on Fermi surfaces are two key conditions for the realization of higher-order topological odd-parity superconductors (HOTOPSCs).
When the normal state is a normal metal, we reveal the necessity of removable Dirac pairing nodes and provide a general and simple principle to realize HOTOPSCs.
Our findings can not only be applied to analyze the topological property of odd-parity superconductors, but also be used as a guiding principle to design new platforms of higher-order topological superconductors, as well as higher-order topological insulators owing to their direct analogy in Hamiltonian description.

Built on

Chuanchang Zeng, T. D. Stanescu, Chuanwei Zhang, V. W. Scarola, and Sumanta Tewari, “Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices,” arXiv e-prints , arXiv:1901.04466 (2019), arXiv:1901.04466 [cond-mat.mes-hall]
Original
1901
Earlier work this paper cites.
Ranjani Seshadri, Anirban Dutta, and Diptiman Sen, “Generating a second-order topological insulator with multiple corner states by periodic driving,” arXiv e-prints , arXiv:1901.10495 (2019), arXiv:1901.10495 [cond-mat.mes-hall]
Original
1901
Earlier work this paper cites.
Mason J. Gray, Josef Freudenstein, Shu Yang F. Zhao, Ryan OConnor, Samuel Jenkins, Narendra Kumar, Marcel Hoek, Abigail Kopec, Takashi Taniguchi, Kenji Watanabe, Ruidan Zhong, G. D. Gu, and K. S. Burch, “Evidence for Helical Hinge Zero Modes in an Fe-Based Superconductor,” arXiv e-prints , arXiv:1902.10723 (2019), arXiv:1902.10723 [cond-mat.supr-con]
Original
1902
Earlier work this paper cites.
Yuanfeng Xu, Zhida Song, Zhijun Wang, Hongming Weng, and Xi Dai, “Higher-order Topology of Axion Insulator EuIn$_2$As$_2$,” arXiv e-prints , arXiv:1903.09856 (2019), arXiv:1903.09856 [cond-mat.mtrl-sci]
Original
1903
Earlier work this paper cites.
Xi-Wang Luo and Chuanwei Zhang, “Higher-order topological corner states induced by gain and loss,” arXiv e-prints , arXiv:1903.02448 (2019), arXiv:1903.02448 [cond-mat.mes-hall]
Original
1903
Earlier work this paper cites.
Xian-Lei Sheng, Cong Chen, Huiying Liu, Ziyu Chen, Y. X. Zhao, Zhi-Ming Yu, and Shengyuan A. Yang, “Two-dimensional second-order topological insulator in graphdiyne,” arXiv e-prints , arXiv:1904.09985 (2019), arXiv:1904.09985 [cond-mat.mes-hall]
Original
1904
Earlier work this paper cites.
Eunwoo Lee, Rokyeon Kim, Junyeong Ahn, and Bohm-Jung Yang, “Higher-Order Band Topology and Corner Charges in Monolayer Graphdiyne,” arXiv e-prints , arXiv:1904.11452 (2019), arXiv:1904.11452 [cond-mat.mtrl-sci]
Original
1904
Earlier work this paper cites.
Rui Chen, Chui-Zhen Chen, Jin-Hua Gao, Bin Zhou, and Dong-Hui Xu, “Higher-Order Topological Insulators in Quasicrystals,” arXiv e-prints , arXiv:1904.09932 (2019), arXiv:1904.09932 [cond-mat.mes-hall]
Original
1904
Earlier work this paper cites.
Tanay Nag, Vladimir Juricic, and Bitan Roy, “Higher-order topological insulator out of equilibrium: Floquet engineering and quench dynamics,” arXiv e-prints , arXiv:1904.07247 (2019), arXiv:1904.07247 [cond-mat.mes-hall]
Original
1904
Earlier work this paper cites.
Raditya Weda Bomantara and Jiangbin Gong, “Measurement-only quantum computation with Majorana corner modes,” arXiv e-prints , arXiv:1904.03161 (2019), arXiv:1904.03161 [quant-ph]
Original
1904
Earlier work this paper cites.
Tudor E. Pahomi, Manfred Sigrist, and Alexey A. Soluyanov, “Braiding Majorana corner modes in a two-layer second-order topological insulator,” arXiv e-prints , arXiv:1904.07822 (2019), arXiv:1904.07822 [cond-mat.mes-hall]
Original
1904
Earlier work this paper cites.
Majid Kheirkhah, Yuki Nagai, Chun Chen, and Frank Marsiglio, “Majorana corner flat bands in two-dimensional second-order topological superconductors,” arXiv e-prints , arXiv:1904.00990 (2019), arXiv:1904.00990 [cond-mat.supr-con]
Original
1904
Earlier work this paper cites.
Koji Kudo, Tsuneya Yoshida, and Yasuhiro Hatsugai, “Higher-order Topological Mott Insulators,” arXiv e-prints , arXiv:1905.03484 (2019), arXiv:1905.03484 [cond-mat.str-el]
Original
1905
Earlier work this paper cites.
Haiping Hu, Biao Huang, Erhai Zhao, and W. Vincent Liu, “Dynamical singularities of Floquet higher-order topological insulators,” arXiv e-prints , arXiv:1905.03727 (2019), arXiv:1905.03727 [cond-mat.mes-hall]
Original
1905
Earlier work this paper cites.
Kirill Plekhanov, Manisha Thakurathi, Daniel Loss, and Jelena Klinovaja, “Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance,” arXiv e-prints , arXiv:1905.09241 (2019), arXiv:1905.09241 [cond-mat.mes-hall]
Original
1905
Earlier work this paper cites.
Ya-Jie Wu, Junpeng Hou, Yun-Mei Li, Xi-Wang Luo, and Chuanwei Zhang, “In-plane Zeeman field induced Majorana corner and hinge modes in an $s$-wave superconductor heterostructure,” arXiv e-prints , arXiv:1905.08896 (2019), arXiv:1905.08896 [cond-mat.mes-hall]
Original
1905
Earlier work this paper cites.
Katharina Laubscher, Daniel Loss, and Jelena Klinovaja, “Fractional Topological Superconductivity and Parafermion Corner States,” arXiv e-prints , arXiv:1905.00885 (2019), arXiv:1905.00885 [cond-mat.mes-hall]
Original
1905
Earlier work this paper cites.
Song-Bo Zhang and Björn Trauzettel, “Detection of second-order topological superconductors by Josephson junctions,” arXiv e-prints , arXiv:1905.09308 (2019), arXiv:1905.09308 [cond-mat.supr-con]
Original
1905
Earlier work this paper cites.
A Yu Kitaev, “Unpaired majorana fermions in quantum wires,” Physics-Uspekhi 44
2001
Earlier work this paper cites.
Joel E. Moore, Ying Ran, and Xiao-Gang Wen, “Topological surface states in three-dimensional magnetic insulators,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, “ Colloquium
2010
Earlier work this paper cites.
Masatoshi Sato, “Topological odd-parity superconductors,” Phys. Rev. B 81
2010
Earlier work this paper cites.
Liang Fu and Erez Berg, “Odd-parity topological superconductors: Theory and application to cu x bi 2 se 3 {\mathrm{cu}}_{x}{\mathrm{bi}}_{2}{\mathrm{se}}_{3} ,” Phys. Rev. Lett. 105
2010
Earlier work this paper cites.

Similar

Xiao-Liang Qi and Shou-Cheng Zhang, “Topological insulators and superconductors,” Rev. Mod. Phys. 83
2011
Cited alongside, same era.
D.-L. Deng, S.-T. Wang, C. Shen, and L.-M. Duan, “Hopf insulators and their topologically protected surface states,” Phys. Rev. B 88
2013
Cited alongside, same era.
Ching-Kai Chiu, Jeffrey C. Y. Teo, Andreas P. Schnyder, and Shinsei Ryu, “Classification of topological quantum matter with symmetries,” Rev. Mod. Phys. 88
2016
Cited alongside, same era.
Chen Fang, Hongming Weng, Xi Dai, and Zhong Fang, “Topological nodal line semimetals,” Chinese Physics B 25
2016
Cited alongside, same era.
Zhida Song, Zhong Fang, and Chen Fang, “ ( d − 2 ) (d-2) -dimensional edge states of rotation symmetry protected topological states,” Phys. Rev. Lett. 119
2017
Cited alongside, same era.

Then

Yang Peng and Gil Refael, “Floquet second-order topological insulators from nonsymmorphic space-time symmetries,” arXiv e-prints , arXiv:1811.11752 (2018), arXiv:1811.11752 [cond-mat.mes-hall]
Original
2018
Later among the works it cites.
Martin Rodriguez-Vega, Abhishek Kumar, and Babak Seradjeh, “Higher-Order Floquet Topological Phases with Corner and Bulk Bound States,” arXiv e-prints , arXiv:1811.04808 (2018), arXiv:1811.04808 [cond-mat.mes-hall]
Original
2018
Later among the works it cites.
Ching Hua Lee, Linhu Li, and Jiangbin Gong, “Hybrid higher-order skin-topological modes in non-reciprocal systems,” arXiv e-prints , arXiv:1810.11824 (2018), arXiv:1810.11824 [cond-mat.mes-hall]
Original
2018
Later among the works it cites.
Y. You, D. Litinski, and F. von Oppen, “Higher order topological superconductors as generators of quantum codes,” ArXiv e-prints (2018), arXiv:1810.10556 [cond-mat.str-el]
Original
2018
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

J. Langbehn, Yang Peng, L. Trifunovic, Felix von Oppen, and Piet W. Brouwer, “Reflection-symmetric second-order topological insulators and superconductors,” Phys. Rev. Lett. 119

2017

Cited alongside, same era.

Motohiko Ezawa, “Topological semimetals carrying arbitrary hopf numbers: Fermi surface topologies of a hopf link, solomon’s knot, trefoil knot, and other linked nodal varieties,” Phys. Rev. B 96

2017

Cited alongside, same era.

Motohiko Ezawa, “Higher-order topological insulators and semimetals on the breathing kagome and pyrochlore lattices,” Phys. Rev. Lett. 120

2018

Cited alongside, same era.

Alex Rasmussen and Yuan-Ming Lu, “Classification and construction of higher-order symmetry protected topological phases of interacting bosons,” arXiv e-prints , arXiv:1809.07325 (2018), arXiv:1809.07325 [cond-mat.str-el]

Original

2018

Cited alongside, same era.

Yizhi You, Trithep Devakul, F. J. Burnell, and Titus Neupert, “Higher-order symmetry-protected topological states for interacting bosons and fermions,” Phys. Rev. B 98

2018

Cited alongside, same era.

Eslam Khalaf, “Higher-order topological insulators and superconductors protected by inversion symmetry,” Phys. Rev. B 97

2018

Cited alongside, same era.

Max Geier, Luka Trifunovic, Max Hoskam, and Piet W. Brouwer, “Second-order topological insulators and superconductors with an order-two crystalline symmetry,” Phys. Rev. B 97

2018

Cited alongside, same era.

Hassan Shapourian, Yuxuan Wang, and Shinsei Ryu, “Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials,” Phys. Rev. B 97

2018