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New paradigms for correlated quantum matter:Hierarchical topology, Kondo topological metals, and deep learning

Total Cost €


EC-Contrib. €






Project "PARATOP" data sheet

The following table provides information about the project.


Organization address
address: RAMISTRASSE 71
city: Zürich
postcode: 8006

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Switzerland [CH]
 Total cost 1˙362˙401 €
 EC max contribution 1˙362˙401 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2017-STG
 Funding Scheme ERC-STG
 Starting year 2018
 Duration (year-month-day) from 2018-01-01   to  2022-12-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITAT ZURICH CH (Zürich) coordinator 1˙362˙401.00


 Project objective

Discovering, classifying and understanding phases of quantum matter is a core goal of condensed matter physics. Next to the notion of symmetry breaking phases, the concept of topological phases of matter is a prevailing theme of recent research. Topological phases are envisioned for various applications due to their universal and robust properties, such as protected conducting boundary modes, and provoke fundamental questions about the nature of many-body quantum states by providing the basis for exotic quasiparticles.

In this ERC research project, I propose several new topological phases and novel numerical approaches for studying and classifying the most sought-after topological phases of matter. Concretely, I propose the concept of three-dimensional hierarchical topological insulators, which, in contrast to the known topological phases, do not posses gapless surface, but protected gapless edge modes. Moreover, I plan to study topological metals arising in strongly correlated Kondo systems, going beyond the current paradigm of considering topological metals that arise in the absence of electronic correlations. Furthermore, I propose to make the analogous step for topological superconductors, which have been studied as free models to search for Majorana quasiparticles: For the first time, I want to explore strongly interacting systems that realize the more powerful parafermion quasiparticles with numerical techniques. Finally, in a cross-disciplinary and exploratory sub-project, I will employ methods of deep neural networks to classify strongly correlated quantum phases using supervised learning combined with a technique called deep dreaming.

Each of these sub-projects has the potential to make a paradigm-changing contribution to the study of strongly correlated and topological states of quantum matter and the combination of them allows to take advantage of synergy effects and a balance between high-risk and definitely feasible key developments.


year authors and title journal last update
List of publications.
2018 Yizhi You, Trithep Devakul, F. J. Burnell, Titus Neupert
Higher-order symmetry-protected topological states for interacting bosons and fermions
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.235102
Physical Review B 98/23 2019-09-02
2019 K. P. Kramer, M. Horio, S. S. Tsirkin, Y. Sassa, K. Hauser, C. E. Matt, D. Sutter, A. Chikina, N. B. M. Schröter, J. A. Krieger, T. Schmitt, V. N. Strocov, N. C. Plumb, M. Shi, S. Pyon, T. Takayama, H. Takagi, T. Adachi, T. Ohgi, T. Kawamata, Y. Koike, T. Kondo, O. J. Lipscombe, S. M. Hayden, M. Ishikado, H. Eisaki, T. Neupert, J. Chang
Band structure of overdoped cuprate superconductors: Density functional theory matching experiments
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.224509
Physical Review B 99/22 2019-09-02
2018 Frank Schindler, Zhijun Wang, Maia G. Vergniory, Ashley M. Cook, Anil Murani, Shamashis Sengupta, Alik Yu. Kasumov, Richard Deblock, Sangjun Jeon, Ilya Drozdov, Hélène Bouchiat, Sophie Guéron, Ali Yazdani, B. Andrei Bernevig, Titus Neupert
Higher-order topology in bismuth
published pages: 918-924, ISSN: 1745-2473, DOI: 10.1038/s41567-018-0224-7
Nature Physics 14/9 2019-09-02
2018 Guoqing Chang, Bahadur Singh, Su-Yang Xu, Guang Bian, Shin-Ming Huang, Chuang-Han Hsu, Ilya Belopolski, Nasser Alidoust, Daniel S. Sanchez, Hao Zheng, Hong Lu, Xiao Zhang, Yi Bian, Tay-Rong Chang, Horng-Tay Jeng, Arun Bansil, Han Hsu, Shuang Jia, Titus Neupert, Hsin Lin, M. Zahid Hasan
Magnetic and noncentrosymmetric Weyl fermion semimetals in the R AlGe family of compounds ( R = rare earth
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.97.041104
Physical Review B 97/4 2019-09-02
2018 Wei-Lin Tu, Frank Schindler, Titus Neupert, Didier Poilblanc
Competing orders in the Hofstadter t – J model
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.97.035154
Physical Review B 97/3 2019-09-04
2018 Guoqing Chang, Benjamin J. Wieder, Frank Schindler, Daniel S. Sanchez, Ilya Belopolski, Shin-Ming Huang, Bahadur Singh, Di Wu, Tay-Rong Chang, Titus Neupert, Su-Yang Xu, Hsin Lin, M. Zahid Hasan
Topological quantum properties of chiral crystals
published pages: 978-985, ISSN: 1476-1122, DOI: 10.1038/s41563-018-0169-3
Nature Materials 17/11 2019-09-02
2018 Stefan Imhof, Christian Berger, Florian Bayer, Johannes Brehm, Laurens W. Molenkamp, Tobias Kiessling, Frank Schindler, Ching Hua Lee, Martin Greiter, Titus Neupert, Ronny Thomale
Topolectrical-circuit realization of topological corner modes
published pages: 925-929, ISSN: 1745-2473, DOI: 10.1038/s41567-018-0246-1
Nature Physics 14/9 2019-09-02
2018 Bo Wan, Frank Schindler, Ke Wang, Kai Wu, Xiangang Wan, Titus Neupert, Hai-Zhou Lu
Theory for the negative longitudinal magnetoresistance in the quantum limit of Kramers Weyl semimetals
published pages: 505501, ISSN: 0953-8984, DOI: 10.1088/1361-648x/aaebed
Journal of Physics: Condensed Matter 30/50 2019-07-22
2018 Elmer V. H. Doggen, Frank Schindler, Konstantin S. Tikhonov, Alexander D. Mirlin, Titus Neupert, Dmitry G. Polyakov, Igor V. Gornyi
Many-body localization and delocalization in large quantum chains
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.174202
Physical Review B 98/17 2019-09-02
2018 Kenny Choo, Giuseppe Carleo, Nicolas Regnault, Titus Neupert
Symmetries and Many-Body Excitations with Neural-Network Quantum States
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.167204
Physical Review Letters 121/16 2019-09-02
2019 Jia-Xin Yin, Songtian S. Zhang, Guoqing Chang, Qi Wang, Stepan S. Tsirkin, Zurab Guguchia, Biao Lian, Huibin Zhou, Kun Jiang, Ilya Belopolski, Nana Shumiya, Daniel Multer, Maksim Litskevich, Tyler A. Cochran, Hsin Lin, Ziqiang Wang, Titus Neupert, Shuang Jia, Hechang Lei, M. Zahid Hasan
Negative flat band magnetism in a spin–orbit-coupled correlated kagome magnet
published pages: 443-448, ISSN: 1745-2473, DOI: 10.1038/s41567-019-0426-7
Nature Physics 15/5 2019-07-22
2018 Schindler, Frank; Cook, Ashley M.; Vergniory, Maia G.; Wang, Zhijun; Parkin, Stuart S. P.; Bernevig, B. Andrei; Neupert, Titus
Higher-order topological insulators
published pages: , ISSN: 2375-2548, DOI: 10.5167/uzh-158543
Schindler, Frank; Cook, Ashley M; Vergniory, Maia G; Wang, Zhijun; Parkin, Stuart S P; Bernevig, B Andrei; Neupert, Titus (2018). Higher-order topological insulators. Science Advances, 4(6):eaat0346. 1 2019-09-02
2018 M. Horio, K. Hauser, Y. Sassa, Z. Mingazheva, D. Sutter, K. Kramer, A. Cook, E. Nocerino, O. K. Forslund, O. Tjernberg, M. Kobayashi, A. Chikina, N. B. M. Schröter, J. A. Krieger, T. Schmitt, V. N. Strocov, S. Pyon, T. Takayama, H. Takagi, O. J. Lipscombe, S. M. Hayden, M. Ishikado, H. Eisaki, T. Neupert, M. Månsson, C. E. Matt, J. Chang
Three-Dimensional Fermi Surface of Overdoped La-Based Cuprates
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.121.077004
Physical Review Letters 121/7 2019-09-04
2018 Kenny Choo, Curt W. von Keyserlingk, Nicolas Regnault, Titus Neupert
Measurement of the Entanglement Spectrum of a Symmetry-Protected Topological State Using the IBM Quantum Computer
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.121.086808
Physical Review Letters 121/8 2019-09-02
2018 C. E. Matt, D. Sutter, A. M. Cook, Y. Sassa, M. MÃ¥nsson, O. Tjernberg, L. Das, M. Horio, D. Destraz, C. G. Fatuzzo, K. Hauser, M. Shi, M. Kobayashi, V. N. Strocov, T. Schmitt, P. Dudin, M. Hoesch, S. Pyon, T. Takayama, H. Takagi, O. J. Lipscombe, S. M. Hayden, T. Kurosawa, N. Momono, M. Oda, T. Neupert, J. Chang
Direct observation of orbital hybridisation in a cuprate superconductor
published pages: , ISSN: 2041-1723, DOI: 10.1038/s41467-018-03266-0
Nature Communications 9/1 2019-09-02
2019 Pascal Marc Vecsei, Kenny Choo, Johan Chang, Titus Neupert
Neural network based classification of crystal symmetries from x-ray diffraction patterns
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.245120
Physical Review B 99/24 2019-09-02
2018 M. Horio, C. E. Matt, K. Kramer, D. Sutter, A. M. Cook, Y. Sassa, K. Hauser, M. MÃ¥nsson, N. C. Plumb, M. Shi, O. J. Lipscombe, S. M. Hayden, T. Neupert, J. Chang
Two-dimensional type-II Dirac fermions in layered oxides
published pages: , ISSN: 2041-1723, DOI: 10.1038/s41467-018-05715-2
Nature Communications 9/1 2019-09-02
2018 Cécile Repellin, Ashley M. Cook, Titus Neupert, Nicolas Regnault
Numerical investigation of gapped edge states in fractional quantum Hall-superconductor heterostructures
published pages: , ISSN: 2397-4648, DOI: 10.1038/s41535-018-0085-4
npj Quantum Materials 3/1 2019-09-02
2019 Seulgi Ok, Lukas Muechler, Domenico Di Sante, Giorgio Sangiovanni, Ronny Thomale, Titus Neupert
Custodial glide symmetry of quantum spin Hall edge modes in monolayer WTe 2
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.121105
Physical Review B 99/12 2019-09-02

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