@article{PhysRevLett.121.087001,
  title = {Topological Superconductivity in Twisted Multilayer {G}raphene},
  author = {Xu, C. and Balents, L.},
  journal = {Phys. Rev. Lett.},
  volume = {121},
  issue = {8},
  pages = {087001},
  numpages = {5},
  year = {2018},
  month = {Aug},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.121.087001}
}


@Article{Desjardins2019,
author={Desjardins, M. M.
and Contamin, L. C.
and Delbecq, M. R.
and Dartiailh, M. C.
and Bruhat, L. E.
and Cubaynes, T.
and Viennot, J. J.
and Mallet, F.
and Rohart, S.
and Thiaville, A.
and Cottet, A.
and Kontos, T.},
title={Synthetic spin--orbit interaction for {M}ajorana devices},
journal={Nat. Mater.},
year={2019},
month={Oct},
day={01},
volume={18},
number={10},
pages={1060},
issn={1476-4660},
url={https://doi.org/10.1038/s41563-019-0457-6}
}




@Article{Rokhinson2012,
author={Rokhinson, L. P.
and Liu, X.
and Furdyna, J. K.},
title={The fractional a.c. Josephson effect in a semiconductor--superconductor nanowire as a signature of {M}ajorana particles},
journal={Nat. Phys.},
year={2012},
month={Nov},
day={01},
volume={8},
number={11},
pages={795},
issn={1745-2481},
url={https://doi.org/10.1038/nphys2429}
}



@article{Deng_Science2016,
author = {M. T. Deng  and S. Vaitiekėnas  and E. B. Hansen  and J. Danon  and M. Leijnse  and K. Flensberg  and J. Nygård  and P. Krogstrup  and C. M. Marcus },
title = {Majorana bound state in a coupled quantum-dot hybrid-nanowire system},
journal = {Science},
volume = {354},
number = {6319},
pages = {1557},
year = {2016},
URL = {https://www.science.org/doi/abs/10.1126/science.aaf3961},
}

@article{Mourik_Science2012,
author = {V. Mourik  and K. Zuo  and S. M. Frolov  and S. R. Plissard  and E. P. A. M. Bakkers  and L. P. Kouwenhoven },
title = {Signatures of {M}ajorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices},
journal = {Science},
volume = {336},
number = {6084},
pages = {1003},
year = {2012},
URL = {https://www.science.org/doi/abs/10.1126/science.1222360},
}

@article{PhysRevLett.105.077001,
  title = {Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures},
  author = {Lutchyn, R. M. and Sau, J. D. and Das Sarma, S.},
  journal = {Phys. Rev. Lett.},
  volume = {105},
  issue = {7},
  pages = {077001},
  numpages = {4},
  year = {2010},
  month = {Aug},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.105.077001}
}


@article{RevModPhys.87.137,
  title = {Colloquium: {M}ajorana fermions in nuclear, particle, and solid-state physics},
  author = {Elliott, S. R. and Franz, M.},
  journal = {Rev. Mod. Phys.},
  volume = {87},
  issue = {1},
  pages = {137},
  numpages = {27},
  year = {2015},
  month = {Feb},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/RevModPhys.87.137}
}

@article{PhysRevX.6.031016,
  title = {Milestones Toward {M}ajorana-Based Quantum Computing},
  author = {Aasen, D. and Hell, M. and Mishmash, R. V. and Higginbotham, A. and Danon, J. and Leijnse, M. and Jespersen, T. S. and Folk, J. A. and Marcus, C. M. and Flensberg, K. and Alicea, J.},
  journal = {Phys. Rev. X},
  volume = {6},
  issue = {3},
  pages = {031016},
  numpages = {28},
  year = {2016},
  month = {Aug},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.6.031016}
}


@article{RevModPhys.80.1083,
  title = {Non-{A}belian anyons and topological quantum computation},
  author = {Nayak, C. and Simon, S. H. and Stern, A. and Freedman, M. and Das Sarma, S.},
  journal = {Rev. Mod. Phys.},
  volume = {80},
  issue = {3},
  pages = {1083--1159},
  numpages = {0},
  year = {2008},
  month = {Sep},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/RevModPhys.80.1083}
}

@article{Kitaev_2001,
	author = {A. Yu Kitaev},
	title = {Unpaired {M}ajorana fermions in quantum wires},
	journal = {Phys.-Usp.},
	pages = {131},
	year = {2001},
	month = {oct},
	publisher = {Uspekhi Fizicheskikh Nauk ({UFN}) Journal},
	volume = {44},
	number = {10S},
	url = {https://doi.org/10.1070/1063-7869/44/10s/s29},
}

@article{PhysRevB.106.125155,
  title = {Superconducting pairing from repulsive interactions of fermions in a flat-band system},
  author = {Mahyaeh, I. and K\"ohler, T. and Black-Schaffer, A. M. and Kantian, A.},
  journal = {Phys. Rev. B},
  volume = {106},
  issue = {12},
  pages = {125155},
  numpages = {6},
  year = {2022},
  month = {Sep},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.106.125155}
}



@ARTICLE{2022arXiv220709443L,
       author = {{Li}, S. and {Hu}, L.-H. and {Zhang}, R.-X. and {Okamoto}, S.},
        title = "{Topological Superconductivity From Forward Phonon Scatterings}",
      journal = {arXiv:2207.09443},
         year = 2022,
        month = jul,
          eid = {arXiv:2207.09443},
        pages = { },
archivePrefix = {arXiv},
          url = {https://arxiv.org/abs/2207.09443},
}

@Article{Okamoto_CommPhys2022,
author={Okamoto, S.
and Mohanta, N.
and Dagotto, E.
and Sheng, D. N.},
title={Topological flat bands in a kagom{\'e} lattice multiorbital system},
journal={Commun. Phys.},
year={2022},
month={Aug},
day={05},
volume={5},
number={1},
pages={198},
abstract={Flat bands and dispersive Dirac bands are known to coexist in the electronic bands in a two-dimensional kagome lattice. Including the relativistic spin-orbit coupling, such systems often exhibit nontrivial band topology, allowing for gapless edge modes between flat bands at several locations in the band structure, and dispersive bands or at the Dirac band crossing. Here, we theoretically demonstrate that a multiorbital system on a kagome lattice is a versatile platform to explore the interplay between nontrivial band topology and electronic interaction. Specifically, here we report that the multiorbital kagome model with the atomic spin--orbit coupling naturally supports topological bands characterized by nonzero Chern numbers {\$}{\$}{\{}{\{}{\{}{\{}{\{}{\{}{\{}{\backslash}mathcal{\{}C{\}}{\}}{\}}{\}}{\}}{\}}{\}}{\}}{\$}{\$}, including a flat band with {\$}{\$}| {\{}{\{}{\{}{\{}{\{}{\{}{\{}{\backslash}mathcal{\{}C{\}}{\}}{\}}{\}}{\}}{\}}{\}}{\}}| =1{\$}{\$}. When such a flat band is 1/3 filled, the non-local repulsive interactions induce a fractional Chern insulating state. We also discuss the possible realization of our findings in real kagome materials.},
issn={2399-3650},
url={https://doi.org/10.1038/s42005-022-00969-1}
}



@article{PhysRevB.97.205135,
  title = {Second-order topological insulators and superconductors with an order-two crystalline symmetry},
  author = {Geier, Max and Trifunovic, Luka and Hoskam, Max and Brouwer, Piet W.},
  journal = {Phys. Rev. B},
  volume = {97},
  issue = {20},
  pages = {205135},
  numpages = {33},
  year = {2018},
  month = {May},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevB.97.205135},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.97.205135}
}


@article{PhysRevResearch.2.043300,
  title = {Chiral Dirac superconductors: Second-order and boundary-obstructed topology},
  author = {Tiwari, Apoorv and Jahin, Ammar and Wang, Yuxuan},
  journal = {Phys. Rev. Research},
  volume = {2},
  issue = {4},
  pages = {043300},
  numpages = {12},
  year = {2020},
  month = {Dec},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevResearch.2.043300},
  url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.043300}
}

@article{PhysRevResearch.2.012060,
  title = {Higher-order topological superconductivity of spin-polarized fermions},
  author = {Ahn, Junyeong and Yang, Bohm-Jung},
  journal = {Phys. Rev. Research},
  volume = {2},
  issue = {1},
  pages = {012060},
  numpages = {6},
  year = {2020},
  month = {Mar},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevResearch.2.012060},
  url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.012060}
}

@article{PhysRevResearch.2.043025,
  title = {Topological and holonomic quantum computation based on second-order topological superconductors},
  author = {Zhang, Song-Bo and Rui, W. B. and Calzona, Alessio and Choi, Sang-Jun and Schnyder, Andreas P. and Trauzettel, Bj\"orn},
  journal = {Phys. Rev. Research},
  volume = {2},
  issue = {4},
  pages = {043025},
  numpages = {17},
  year = {2020},
  month = {Oct},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevResearch.2.043025},
  url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.043025}
}

@article{PhysRevLett.124.227001,
  title = {In-Plane Zeeman-Field-Induced Majorana Corner and Hinge Modes in an $s$-Wave Superconductor Heterostructure},
  author = {Wu, Ya-Jie and Hou, Junpeng and Li, Yun-Mei and Luo, Xi-Wang and Shi, Xiaoyan and Zhang, Chuanwei},
  journal = {Phys. Rev. Lett.},
  volume = {124},
  issue = {22},
  pages = {227001},
  numpages = {7},
  year = {2020},
  month = {Jun},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevLett.124.227001},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.124.227001}
}

@article{PhysRevB.99.041301,
  title = {Higher-order topological phases: A general principle of construction},
  author = {C\ifmmode \u{a}\else \u{a}\fi{}lug\ifmmode \u{a}\else \u{a}\fi{}ru, Dumitru and Juri\ifmmode \check{c}\else \v{c}\fi{}i\ifmmode \acute{c}\else \'{c}\fi{}, Vladimir and Roy, Bitan},
  journal = {Phys. Rev. B},
  volume = {99},
  issue = {4},
  pages = {041301},
  numpages = {5},
  year = {2019},
  month = {Jan},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevB.99.041301},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.99.041301}
}

@article{PhysRevB.98.201114,
  title = {An anomalous higher-order topological insulator},
  author = {Franca, S. and van den Brink, J. and Fulga, I. C.},
  journal = {Phys. Rev. B},
  volume = {98},
  issue = {20},
  pages = {201114},
  numpages = {6},
  year = {2018},
  month = {Nov},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevB.98.201114},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.98.201114}
}

@article{PhysRevB.97.205136,
  title = {Higher-order topological insulators and superconductors protected by inversion symmetry},
  author = {Khalaf, Eslam},
  journal = {Phys. Rev. B},
  volume = {97},
  issue = {20},
  pages = {205136},
  numpages = {13},
  year = {2018},
  month = {May},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevB.97.205136},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.97.205136}
}

@article{PhysRevX.9.011012,
  title = {Higher-Order Bulk-Boundary Correspondence for Topological Crystalline Phases},
  author = {Trifunovic, Luka and Brouwer, Piet W.},
  journal = {Phys. Rev. X},
  volume = {9},
  issue = {1},
  pages = {011012},
  numpages = {33},
  year = {2019},
  month = {Jan},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevX.9.011012},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.9.011012}
}


@article{PhysRevLett.120.026801,
  title = {Higher-Order Topological Insulators and Semimetals on the Breathing Kagom{\'e} and Pyrochlore Lattices},
  author = {Ezawa, Motohiko},
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  volume = {120},
  issue = {2},
  pages = {026801},
  numpages = {6},
  year = {2018},
  month = {Jan},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.120.026801}
}


@article{PhysRevLett.119.246401,
  title = {Reflection-Symmetric Second-Order Topological Insulators and Superconductors},
  author = {Langbehn, Josias and Peng, Yang and Trifunovic, Luka and von Oppen, Felix and Brouwer, Piet W.},
  journal = {Phys. Rev. Lett.},
  volume = {119},
  issue = {24},
  pages = {246401},
  numpages = {5},
  year = {2017},
  month = {Dec},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.119.246401}
}


@article{Ghosh_PRB2021,
  title = {Hierarchy of higher-order topological superconductors in three dimensions},
  author = {Ghosh, A. K. and Nag, T. and Saha, A.},
  journal = {Phys. Rev. B},
  volume = {104},
  issue = {13},
  pages = {134508},
  numpages = {11},
  year = {2021},
  month = {Oct},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.104.134508}
}


@article{Li_2DMater2021,
	url = {https://doi.org/10.1088/2053-1583/ac4060},
	year = 2021,
	month = {dec},
	publisher = {{IOP} Publishing},
	volume = {9},
	number = {1},
	pages = {015031},
	author = {T. Li and M. Geier and J. Ingham and H. D Scammell},
	title = {Higher-order topological superconductivity from repulsive interactions in kagom{\'e} and honeycomb systems},
	journal = {2D Mater.},
}


@article{Song_PRL2017,
  title = {$(d\ensuremath{-}2)$-Dimensional Edge States of Rotation Symmetry Protected Topological States},
  author = {Song, Z. and Fang, Z. and Fang, C.},
  journal = {Phys. Rev. Lett.},
  volume = {119},
  issue = {24},
  pages = {246402},
  numpages = {5},
  year = {2017},
  month = {Dec},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.119.246402}
}


@article{Schindler_SciAdv2018,
author = {F. Schindler  and A. M. Cook  and M. G. Vergniory  and Z. Wang  and S. S. P. Parkin  and B. A. Bernevig  and T. Neupert },
title = {Higher-order topological insulators},
journal = {Sci. Adv.},
volume = {4},
number = {6},
pages = {eaat0346},
year = {2018},
URL = {https://www.science.org/doi/abs/10.1126/sciadv.aat0346},
}


@Article{Sarma2015,
author={Sarma, S. D.
and Freedman, M.
and Nayak, C.},
title={Majorana zero modes and topological quantum computation},
journal={npj Quantum Inf.},
year={2015},
month={Oct},
day={27},
volume={1},
number={1},
pages={15001},
issn={2056-6387},
url={https://doi.org/10.1038/npjqi.2015.1}
}



@article{PhysRevB.99.134505,
  title = {Tunable magnetic textures in spin valves: {F}rom spintronics to {M}ajorana bound states},
  author = {Zhou, T. and Mohanta, N. and Han, J. E. and Matos-Abiague, A. and \ifmmode \check{Z}\else \v{Z}\fi{}uti\ifmmode \acute{c}\else \'{c}\fi{}, I.},
  journal = {Phys. Rev. B},
  volume = {99},
  issue = {13},
  pages = {134505},
  numpages = {8},
  year = {2019},
  month = {Apr},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.99.134505}
}


@article{PhysRevApplied.12.034048,
  title = {Electrical Control of {M}ajorana Bound States Using Magnetic Stripes},
  author = {Mohanta, N. and Zhou, T. and Xu, J.-W. and Han, J. E. and Kent, A. D. and Shabani, J. and \ifmmode \check{Z}\else \v{Z}\fi{}uti\ifmmode \acute{c}\else \'{c}\fi{}, I. and Matos-Abiague, A.},
  journal = {Phys. Rev. Applied},
  volume = {12},
  issue = {3},
  pages = {034048},
  numpages = {9},
  year = {2019},
  month = {Sep},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevApplied.12.034048}
}

@Article{Mohanta_CommPhys2021,
author={Mohanta, N.
and Okamoto, S.
and Dagotto, E.},
title={Skyrmion control of {M}ajorana states in planar {J}osephson junctions},
journal={Comm. Phys.},
year={2021},
month={Jul},
day={15},
volume={4},
number={1},
pages={163},
issn={2399-3650},
url={https://doi.org/10.1038/s42005-021-00666-5}
}

@Article{Herbrych2021,
author={Herbrych, J.
and {\'{S}}roda, M.
and Alvarez, G.
and Mierzejewski, M.
and Dagotto, E.},
title={Interaction-induced topological phase transition and {M}ajorana edge states in low-dimensional orbital-selective {M}ott insulators},
journal={Nat. Commun.},
year={2021},
month={May},
day={19},
volume={12},
number={1},
pages={2955},
issn={2041-1723},
url={https://doi.org/10.1038/s41467-021-23261-2}
}



@Article{Zhao2021,
author={Zhao, H.
and Li, H.
and Ortiz, B. R.
and Teicher, S. M. L.
and Park, T.
and Ye, M.
and Wang, Z.
and Balents, L.
and Wilson, S. D.
and Zeljkovic, I.},
title={Cascade of correlated electron states in the kagom{\'e} superconductor {CsV}$_3${S}b$_5$},
journal={Nature},
year={2021},
month={Nov},
day={01},
volume={599},
number={7884},
pages={216-221},
issn={1476-4687},
url={https://doi.org/10.1038/s41586-021-03946-w}
}



@article{PhysRevLett.125.247002,
  title = {{CsV}$_3${S}b$_5$: {A} ${\mathbb{Z}}_{2}$ Topological Kagom{\'e} Metal with a Superconducting Ground State},
  author = {Ortiz, B. R. and Teicher, S. M. L. and Hu, Y. and Zuo, J. L. and Sarte, P. M. and Schueller, E. C. and Abeykoon, A. M. M. and Krogstad, M. J. and Rosenkranz, S. and Osborn, R. and Seshadri, R. and Balents, L. and He, J. and Wilson, S. D.},
  journal = {Phys. Rev. Lett.},
  volume = {125},
  issue = {24},
  pages = {247002},
  numpages = {6},
  year = {2020},
  month = {Dec},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.125.247002}
}


@article{HU2022495,
author = {Hu, Y. and Teicher, S. M.L. and Ortiz, B. R. and Luo, Y. and Peng, S. and Huai, L. and Ma, J. and Plumb, N. C. and Wilson, S. D. and He, J. and Shi, M.},
title = {Topological surface states and flat bands in the kagom{\'e} superconductor {CsV}$_3${S}b$_5$},
journal = {Sci. Bull.},
volume = {67},
number = {5},
pages = {495-500},
year = {2022},
issn = {2095-9273},
url = {https://www.sciencedirect.com/science/article/pii/S2095927321007349},
}

@ARTICLE{2022arXiv220111530O,
       author = {{Okamoto}, S. and {Mohanta}, N. and {Dagotto}, E. and {Sheng}, D.~N.},
        title = "{Topological flat bands in a kagom{\'e} lattice multiorbital system}",
      journal = {arXiv:2201.11530},
         year = 2022,
        month = jan,
          eid = {arXiv:2201.11530},
        pages = { },
archivePrefix = {arXiv},
          url = {https://ui.adsabs.harvard.edu/abs/2022arXiv220111530O},
}



@article{PhysRevB.104.235115,
  title = {Multitude of topological phase transitions in bipartite dice and {L}ieb lattices with interacting electrons and {R}ashba coupling},
  author = {Soni, R. and Sanyal, A. B. and Kaushal, N. and Okamoto, S. and Moreo, A. and Dagotto, E.},
  journal = {Phys. Rev. B},
  volume = {104},
  issue = {23},
  pages = {235115},
  numpages = {11},
  year = {2021},
  month = {Dec},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.104.235115}
}


@article{PhysRevResearch.2.013232,
  title = {Parafermions in hierarchical fractional quantum {H}all states},
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  year = {2020},
  month = {Feb},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.013232}
}


@article{PhysRevX.4.031009,
  title = {Superconducting Analogue of the Parafermion Fractional Quantum {H}all States},
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  volume = {4},
  issue = {3},
  pages = {031009},
  numpages = {12},
  year = {2014},
  month = {Jul},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.4.031009}
}


@Article{Clarke2013,
author={Clarke, D. J.
and Alicea, J.
and Shtengel, K.},
title={Exotic non-{A}belian anyons from conventional fractional quantum {H}all states},
journal={Nat. Commun.},
year={2013},
month={Jan},
day={08},
volume={4},
number={1},
pages={1348},
issn={2041-1723},
url={https://doi.org/10.1038/ncomms2340}
}



@article{PhysRevResearch.2.023063,
  title = {Universal phase diagram of topological superconductors subjected to magnetic flux},
  author = {Lesser, O. and Oreg, Y.},
  journal = {Phys. Rev. Research},
  volume = {2},
  issue = {2},
  pages = {023063},
  numpages = {10},
  year = {2020},
  month = {Apr},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.023063}
}


@article{PhysRevB.82.184516,
  title = {Chiral topological superconductor from the quantum Hall state},
  author = {Qi, X.-L. and Hughes, T. L. and Zhang, S.-C.},
  journal = {Phys. Rev. B},
  volume = {82},
  issue = {18},
  pages = {184516},
  numpages = {5},
  year = {2010},
  month = {Nov},
  publisher = {American Physical Society},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.82.184516}
}


@Article{Mohanta_SRep2017,
author={Mohanta, N.
and Kampf, A. P.
and Kopp, T.},
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