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QUANTMATT SIGNED

Dynamics and transport of quantum matter --- exploring the interplay of topology, interactions and localization

Total Cost €

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EC-Contrib. €

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Partnership

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Project "QUANTMATT" data sheet

The following table provides information about the project.

Coordinator
KUNGLIGA TEKNISKA HOEGSKOLAN 

Organization address
address: BRINELLVAGEN 8
city: STOCKHOLM
postcode: 100 44
website: www.kth.se

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 Sweden [SE]
 Project website http://qm.pks.mpg.de
 Total cost 1˙500˙000 €
 EC max contribution 1˙500˙000 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-STG
 Funding Scheme ERC-STG
 Starting year 2016
 Duration (year-month-day) from 2016-01-01   to  2020-12-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    KUNGLIGA TEKNISKA HOEGSKOLAN SE (STOCKHOLM) coordinator 1˙409˙785.00
2    MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV DE (MUENCHEN) participant 90˙214.00

Map

 Project objective

Quantum matter is condensed matter which properties are dominated by the quantum nature of its constituents. The two most fundamental properties of quantum mechanics are interference and entanglement. How do these properties, and their derivatives, show up in an experiment? And how does one control them? These are the fundamental questions addressed in this proposal.

The study is divided into three main parts: many-body localization, topological insulator nanowires, and topological semimetals. Many-body localization is concerned with the interplay of interference and entanglement and is central to questions about quantum thermalization. I aim to understand experimental signatures of many-body localization as well as devising simulation schemes that allow us to conduct numerical experiments on many-body localization for larger system sizes than has been so far possible. The interplay of interference, topology and geometry is the central theme of the topic of topological insulator nanowires. I have in the past theoretically demonstrated the signatures of fundamental quantum phenomena in these systems, including perfectly transmitted mode and Majorana fermions. The major goal of this part of the project is to collaborate closely with experimental groups seeking to verify my past theories, by providing new and more detailed predictions for these systems. This requires to further understand experimental details, develop certain theoretical devices and simulation techniques based on them. The final part on topological semimetals is particularly timely in view of recent experimental realizations of Dirac semimetals and the impending realization of Weyl semimetals, which both can be roughly thought of as 3D analogs of graphene. I seek to understand their unique transport signatures and the interplay of disorder with 3D Dirac fermions. The three parts feed into and from each other both through unified concepts and common methodology.

 Publications

year authors and title journal last update
List of publications.
2019 Behrends, J.; Bardarson, J.; Beri, B.
Tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
published pages: 195123, ISSN: 2469-9969, DOI: 10.17863/CAM.40082
Phys. Rev. B vol 99 2020-02-13
2019 V. Kaladzhyan, A. A. Zyuzin, P. Simon
RKKY interaction on the surface of three-dimensional Dirac semimetals
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.165302
Physical Review B 99/16 2020-02-13
2019 Fernando de Juan, Jens H Bardarson, Roni Ilan
Conditions for fully gapped topological superconductivity in topological insulator nanowires
published pages: , ISSN: 2542-4653, DOI: 10.21468/SciPostPhys.6.5.060
SciPost Physics 6/5 2020-02-13
2020 Emmanouil Xypakis, Jun-Won Rhim, Jens H. Bardarson, Roni Ilan
Perfect transmission and Aharanov-Bohm oscillations in topological insulator nanowires with nonuniform cross section
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.101.045401
Physical Review B 101/4 2020-02-13
2019 Loïc Herviou, Jens H. Bardarson, Nicolas Regnault
Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
published pages: , ISSN: 2469-9926, DOI: 10.1103/PhysRevA.99.052118
Physical Review A 99/5 2020-02-13
2019 Loïc Herviou, Soumya Bera, Jens H. Bardarson
Multiscale entanglement clusters at the many-body localization phase transition
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.134205
Physical Review B 99/13 2020-02-13
2019 Loïc Herviou, Nicolas Regnault, Jens H Bardarson
Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
published pages: , ISSN: 2542-4653, DOI: 10.21468/SciPostPhys.7.5.069
SciPost Physics 7/5 2020-02-13
2019 Vardan Kaladzhyan, Cristina Bena
Obtaining Majorana and other boundary modes from the metamorphosis of impurity-induced states: Exact solutions via the T-matrix
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.100.081106
Physical Review B 100/8 2020-02-13
2018 J. Dufouleur, E. Xypakis, B. Büchner, R. Giraud, J. H. Bardarson
Suppression of scattering in quantum confined 2D helical Dirac systems
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.075401
Physical Review B 97/7 2019-07-26
2018 Jun-Won Rhim, Jens H. Bardarson, Robert-Jan Slager
Unified bulk-boundary correspondence for band insulators
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.115143
Physical Review B 97/11 2019-07-26
2018 V. Kaladzhyan, Cristina Bena, Pascal Simon
Topology from triviality
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.104512
Physical Review B 97/10 2019-07-26
2017 Soumya Bera, Giuseppe De Tomasi, Felix Weiner, Ferdinand Evers
Density Propagator for Many-Body Localization: Finite-Size Effects, Transient Subdiffusion, and Exponential Decay
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.118.196801
Physical Review Letters 118/19 2019-07-26
2017 Jonathan Atteia, Jens H. Bardarson, Jérôme Cayssol
Ballistic transport through irradiated graphene
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.245404
Physical Review B 96/24 2019-07-26
2018 Sigurdur I Erlingsson, Jens H Bardarson, Andrei Manolescu
Thermoelectric current in topological insulator nanowires with impurities
published pages: 1156-1161, ISSN: 2190-4286, DOI: 10.3762/bjnano.9.107
Beilstein Journal of Nanotechnology 9 2019-07-26
2017 Jan Behrends, Jun-Won Rhim, Shang Liu, Adolfo G. Grushin, Jens H. Bardarson
Nodal-line semimetals from Weyl superlattices
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.245101
Physical Review B 96/24 2019-07-26
2017 Yago Ferreiros, A. A. Zyuzin, Jens H. Bardarson
Anomalous Nernst and thermal Hall effects in tilted Weyl semimetals
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.115202
Physical Review B 96/11 2019-07-26
2018 Younes Javanmard, Daniele Trapin, Soumya Bera, Jens H Bardarson, Markus Heyl
Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain
published pages: 83032, ISSN: 1367-2630, DOI: 10.1088/1367-2630/aad9ba
New Journal of Physics 20/8 2019-07-26
2018 Óscar Pozo, Yago Ferreiros, María A. H. Vozmediano
Anisotropic fixed points in Dirac and Weyl semimetals
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.115122
Physical Review B 98/11 2019-07-26
2018 Yago Ferreiros, Eduardo Fradkin
Boson–fermion duality in a gravitational background
published pages: 1-25, ISSN: 0003-4916, DOI: 10.1016/j.aop.2018.10.001
Annals of Physics 399 2019-07-26
2019 Loïc Herviou, Karyn Le Hur, Christophe Mora
Bipartite fluctuations and topology of Dirac and Weyl systems
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.075133
Physical Review B 99/7 2019-07-26
2019 Jan Behrends, Sthitadhi Roy, Michael H. Kolodrubetz, Jens H. Bardarson, Adolfo G. Grushin
Landau levels, Bardeen polynomials, and Fermi arcs in Weyl semimetals: Lattice-based approach to the chiral anomaly
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.140201
Physical Review B 99/14 2019-07-26
2019 Talía L. M. Lezama, Soumya Bera, Jens H. Bardarson
Apparent slow dynamics in the ergodic phase of a driven many-body localized system without extensive conserved quantities
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.161106
Physical Review B 99/16 2019-07-26
2018 Johannes Hauschild, Eyal Leviatan, Jens H. Bardarson, Ehud Altman, Michael P. Zaletel, Frank Pollmann
Finding purifications with minimal entanglement
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.235163
Physical Review B 98/23 2019-07-26
2019 Yago Ferreiros, Yaron Kedem, Emil J. Bergholtz, Jens H. Bardarson
Mixed Axial-Torsional Anomaly in Weyl Semimetals
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.122.056601
Physical Review Letters 122/5 2019-07-26
2018 Yago Ferreiros, María A. H. Vozmediano
Elastic gauge fields and Hall viscosity of Dirac magnons
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.054404
Physical Review B 97/5 2019-07-26
2016 Tobias Meng, Adolfo G. Grushin, Kirill Shtengel, Jens H. Bardarson
Theory of a 3+1D fractional chiral metal: Interacting variant of the Weyl semimetal
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.94.155136
Physical Review B 94/15 2019-07-26
2017 Sigurdur I. Erlingsson, Andrei Manolescu, George Alexandru Nemnes, Jens H. Bardarson, David Sanchez
Reversal of Thermoelectric Current in Tubular Nanowires
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.119.036804
Physical Review Letters 119/3 2019-07-26
2017 Talía L. M. Lezama, Soumya Bera, Henning Schomerus, Fabian Heidrich-Meisner, Jens H. Bardarson
One-particle density matrix occupation spectrum of many-body localized states after a global quench
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.060202
Physical Review B 96/6 2019-07-26
2017 Soumya Bera, Thomas Martynec, Henning Schomerus, Fabian Heidrich-Meisner, Jens H. Bardarson
One-particle density matrix characterization of many-body localization
published pages: 1600356, ISSN: 0003-3804, DOI: 10.1002/andp.201600356
Annalen der Physik 529/7 2019-07-26
2017 Jun-Won Rhim, Jan Behrends, Jens H. Bardarson
Bulk-boundary correspondence from the intercellular Zak phase
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.95.035421
Physical Review B 95/3 2019-07-26
2017 Jan Behrends, Jens H. Bardarson
Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.060201
Physical Review B 96/6 2019-07-26
2017 Giuseppe De Tomasi, Soumya Bera, Jens H. Bardarson, Frank Pollmann
Quantum Mutual Information as a Probe for Many-Body Localization
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.118.016804
Physical Review Letters 118/1 2019-07-26
2017 Emmanouil Xypakis, Jens H. Bardarson
Conductance fluctuations and disorder induced ν = 0 quantum Hall plateau in topological insulator nanowires
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.95.035415
Physical Review B 95/3 2019-07-26

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