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Theory of statistical topological insulators

Total Cost €


EC-Contrib. €






Project "STATOPINS" data sheet

The following table provides information about the project.


Organization address
address: STEVINWEG 1
city: DELFT
postcode: 2628 CN

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 Netherlands [NL]
 Total cost 1˙355˙103 €
 EC max contribution 1˙355˙103 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2014-STG
 Funding Scheme ERC-STG
 Starting year 2015
 Duration (year-month-day) from 2015-03-01   to  2020-02-29


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    TECHNISCHE UNIVERSITEIT DELFT NL (DELFT) coordinator 1˙355˙103.00


 Project objective

Topological insulators (TI) are a novel class of materials with insulating bulk and conducting surface. The conduction of the surface is protected by the topological properties of the bulk, as long as a fundamental symmetry is present (for instance time-reversal symmetry). My goal is to investigate to what limits does the protection hold in cases where the protecting symmetry is broken, and only present in statistical sense, after averaging over the disordered ensemble. In a pilot study I showed that materials that are protected by such average symmetry, which I have called “statistical topological insulators” (STI) significantly extend the classification of topological phases of matter and promise new methods to robustly control the conducting surface properties. I plan to develop a general theory of STI for physically relevant symmetries, describe the observable properties of their protected surface states, invent ways to predict whether materials are expected to be STI, and explore the generalization of STIs to strongly interacting topological phases of matter. I expect that the outcome of my research will significantly extend our understanding of topological phases of matter, and provide new ways to design materials with robust properties.


year authors and title journal last update
List of publications.
2016 Jakob Kammhuber, Maja C. Cassidy, Hao Zhang, Önder Gül, Fei Pei, Michiel W. A. de Moor, Bas Nijholt, Kenji Watanabe, Takashi Taniguchi, Diana Car, Sébastien R. Plissard, Erik P. A. M. Bakkers, Leo P. Kouwenhoven
Conductance Quantization at Zero Magnetic Field in InSb Nanowires
published pages: 3482-3486, ISSN: 1530-6984, DOI: 10.1021/acs.nanolett.6b00051
Nano Letters 16/6 2020-04-15
2018 Lin Wang, Tomas Orn Rosdahl, Doru Sticlet
Platform for nodal topological superconductors in monolayer molybdenum dichalcogenides
published pages: 205411 1-6, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.205411
Physical Review B 98/20 2020-04-15
2020 Dániel Varjas, Michel Fruchart, Anton R. Akhmerov, Pablo M. Perez-Piskunow
Computation of topological phase diagram of disordered Pb 1 − x Sn x Te
published pages: 013229 1-11, ISSN: 2643-1564, DOI: 10.1103/PhysRevResearch.2.013229
Physical Review Research 2/1 2020-04-15
2015 G. de Lange, B. van Heck, A. Bruno, D. J. van Woerkom, A. Geresdi, S. R. Plissard, E. P. A. M. Bakkers, A. R. Akhmerov, L. DiCarlo
Realization of Microwave Quantum Circuits Using Hybrid Superconducting-Semiconducting Nanowire Josephson Elements
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.115.127002
Physical Review Letters 115/12 2020-01-30
2019 E. V. Repin, Y. Chen, Y. V. Nazarov
Topological properties of multiterminal superconducting nanostructures: Effect of a continuous spectrum
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.165414
Physical Review B 99/16 2020-01-30
2017 Kun Zuo, Vincent Mourik, Daniel B. Szombati, Bas Nijholt, David J. van Woerkom, Attila Geresdi, Jun Chen, Viacheslav P. Ostroukh, Anton R. Akhmerov, Sebastién R. Plissard, Diana Car, Erik P. A. M. Bakkers, Dmitry I. Pikulin, Leo P. Kouwenhoven, Sergey M. Frolov
Supercurrent Interference in Few-Mode Nanowire Josephson Junctions
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.119.187704
Physical Review Letters 119/18 2020-01-30
2018 Rainer Kraft, Jens Mohrmann, Renjun Du, Pranauv Balaji Selvasundaram, Muhammad Irfan, Umut Nefta Kanilmaz, Fan Wu, Detlef Beckmann, Hilbert von Löhneysen, Ralph Krupke, Anton Akhmerov, Igor Gornyi, Romain Danneau
Tailoring supercurrent confinement in graphene bilayer weak links
published pages: , ISSN: 2041-1723, DOI: 10.1038/s41467-018-04153-4
Nature Communications 9/1 2020-01-30
2018 T. E. O’Brien, P. Rożek, A. R. Akhmerov
Majorana-Based Fermionic Quantum Computation
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.120.220504
Physical Review Letters 120/22 2020-01-30
2018 Mathieu Istas, Christoph Groth, Anton Akhmerov, Michael Wimmer, Xavier Waintal
A general algorithm for computing bound states in infinite tight-binding systems
published pages: , ISSN: 2542-4653, DOI: 10.21468/SciPostPhys.4.5.026
SciPost Physics 4/5 2020-01-29
2019 Dániel Varjas, Alexander Lau, Kim Pöyhönen, Anton R. Akhmerov, Dmitry I. Pikulin, Ion Cosma Fulga
Topological Phases without Crystalline Counterparts
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.123.196401
Physical Review Letters 123/19 2020-01-30
2019 André Melo, Sebastian Rubbert, Anton Akhmerov
Supercurrent-induced Majorana bound states in a planar geometry
published pages: , ISSN: 2542-4653, DOI: 10.21468/scipostphys.7.3.039
SciPost Physics 7/3 2020-01-30
2018 Dániel Varjas, Tómas Ö Rosdahl, Anton R Akhmerov
Qsymm: algorithmic symmetry finding and symmetric Hamiltonian generation
published pages: 93026, ISSN: 1367-2630, DOI: 10.1088/1367-2630/aadf67
New Journal of Physics 20/9 2020-01-30
2019 M. P. Nowak, M. Wimmer, A. R. Akhmerov
Supercurrent carried by nonequilibrium quasiparticles in a multiterminal Josephson junction
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.075416
Physical Review B 99/7 2020-01-30
2016 M. T. Allen, O. Shtanko, I. C. Fulga, A. R. Akhmerov, K. Watanabe, T. Taniguchi, P. Jarillo-Herrero, L. S. Levitov, A. Yacoby
Spatially resolved edge currents and guided-wave electronic states in graphene
published pages: 128-133, ISSN: 1745-2473, DOI: 10.1038/nphys3534
Nature Physics 12/2 2020-01-30
2015 V. E. Calado, S. Goswami, G. Nanda, M. Diez, A. R. Akhmerov, K. Watanabe, T. Taniguchi, T. M. Klapwijk, L. M. K. Vandersypen
Ballistic Josephson junctions in edge-contacted graphene
published pages: 761-764, ISSN: 1748-3387, DOI: 10.1038/nnano.2015.156
Nature Nanotechnology 10/9 2020-01-30
2018 Doru Sticlet, Jay D. Sau, Anton Akhmerov
Dissipation-enabled fractional Josephson effect
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.98.125124
Physical Review B 98/12 2020-01-30
2017 Monica T. Allen, Oles Shtanko, Ion C. Fulga, Joel I.-J. Wang, Daniyar Nurgaliev, Kenji Watanabe, Takashi Taniguchi, Anton R. Akhmerov, Pablo Jarillo-Herrero, Leonid S. Levitov, Amir Yacoby
Observation of Electron Coherence and Fabry–Perot Standing Waves at a Graphene Edge
published pages: 7380-7386, ISSN: 1530-6984, DOI: 10.1021/acs.nanolett.7b03156
Nano Letters 17/12 2020-01-30
2019 Adriaan Vuik, Bas Nijholt, Anton Akhmerov, Michael Wimmer
Reproducing topological properties with quasi-Majorana states
published pages: , ISSN: 2542-4653, DOI: 10.21468/SciPostPhys.7.5.061
SciPost Physics 7/5 2020-01-30
2019 Alexander Lau, Rajyavardhan Ray, Dániel Varjas, Anton R. Akhmerov
Influence of lattice termination on the edge states of the quantum spin Hall insulator monolayer 1 T ′ − WTe 2
published pages: , ISSN: 2475-9953, DOI: 10.1103/PhysRevMaterials.3.054206
Physical Review Materials 3/5 2020-01-30
2018 V. P. Michal, T. Fujita, T. A. Baart, J. Danon, C. Reichl, W. Wegscheider, L. M. K. Vandersypen, Y. V. Nazarov
Nonlinear and dot-dependent Zeeman splitting in GaAs/AlGaAs quantum dot arrays
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.97.035301
Physical Review B 97/3 2020-01-30
2018 T. Ö. Rosdahl, A. Vuik, M. Kjaergaard, A. R. Akhmerov
Andreev rectifier: A nonlocal conductance signature of topological phase transitions
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.045421
Physical Review B 97/4 2020-01-29
2018 E. Walter, T. Ö. Rosdahl, A. R. Akhmerov, F. Hassler
Breakdown of the Law of Reflection at a Disordered Graphene Edge
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.136803
Physical Review Letters 121/13 2020-01-29
2019 C. W. J. Beenakker, P. Baireuther, Y. Herasymenko, I. Adagideli, Lin Wang, A. R. Akhmerov
Deterministic Creation and Braiding of Chiral Edge Vortices
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.122.146803
Physical Review Letters 122/14 2020-01-30
2017 M. C. Cassidy, A. Bruno, S. Rubbert, M. Irfan, J. Kammhuber, R. N. Schouten, A. R. Akhmerov, L. P. Kouwenhoven
Demonstration of an ac Josephson junction laser
published pages: 939-942, ISSN: 0036-8075, DOI: 10.1126/science.aah6640
Science 355/6328 2019-05-29
2016 Doru Sticlet, Anton Akhmerov
Attractive critical point from weak antilocalization on fractals
published pages: 161115, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.94.161115
Physical Review B 94/16 2019-05-29
2016 V. P. Ostroukh, B. Baxevanis, A. R. Akhmerov, C. W. J. Beenakker
Two-dimensional Josephson vortex lattice and anomalously slow decay of the Fraunhofer oscillations in a ballistic SNS junction with a warped Fermi surface
published pages: 094514-1 094514-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.94.094514
Physical Review B 94/9 2019-05-29
2016 Bas Nijholt, Anton R. Akhmerov
Orbital effect of magnetic field on the Majorana phase diagram
published pages: 1-5, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.93.235434
Physical Review B 93/23 2019-05-29
2017 Doru Sticlet, Bas Nijholt, Anton Akhmerov
Robustness of Majorana bound states in the short-junction limit
published pages: 115421, ISSN: 2469-9950, DOI: 10.1103/physrevb.95.115421
Physical Review B 95/11 2019-05-29
2017 M. Kjaergaard, H. J. Suominen, M. P. Nowak, A. R. Akhmerov, J. Shabani, C. J. Palmstrøm, F. Nichele, C. M. Marcus
Transparent Semiconductor-Superconductor Interface and Induced Gap in an Epitaxial Heterostructure Josephson Junction
published pages: 34029, ISSN: 2331-7019, DOI: 10.1103/PhysRevApplied.7.034029
Physical Review Applied 7/3 2019-05-29
2016 A Vuik, D Eeltink, A R Akhmerov, M Wimmer
Effects of the electrostatic environment on the Majorana nanowire devices
published pages: 33013, ISSN: 1367-2630, DOI: 10.1088/1367-2630/18/3/033013
New Journal of Physics 18/3 2019-05-29
2016 S. Rubbert, A. R. Akhmerov
Detecting Majorana nonlocality using strongly coupled Majorana bound states
published pages: 115430-1 115430-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.94.115430
Physical Review B 94/11 2019-05-29

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