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Expanding the Topological Frontier in Quantum Matter: from Concepts to Future Applications

Total Cost €


EC-Contrib. €






 TopFront project word cloud

Explore the words cloud of the TopFront project. It provides you a very rough idea of what is the project "TopFront" about.

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Project "TopFront" data sheet

The following table provides information about the project.


Organization address
city: HAIFA
postcode: 32000

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 Israel [IL]
 Project website
 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-2014-STG
 Funding Scheme ERC-STG
 Starting year 2015
 Duration (year-month-day) from 2015-09-01   to  2020-08-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

Topological phases arise from a fascinating interplay between quantum mechanics and many-body physics. They exhibit an abundance of extraordinary properties, such as protected edge and surface modes, exotic particle statistics, and non-local correlations. These make them not only scientifically stimulating, but also appealing for ground-breaking future applications, such as quantum computing using non-Abelian systems. Their subtle nature often renders them hard to study theoretically, and even more so to detect and control experimentally. To date, only a small subset of them has been accessed in experiments. The purpose of this research program is to expand the scope of possible realizations of topological quantum matter, and to develop methods to detect, control and manipulate them. Two main research directions will be considered. The first will focus on utilizing defects to synthesize new non-Abelian systems. We will study the mathematical theory describing the defects, starting from microscopic considerations and aiming to achieve a unifying mathematical framework. New non-Abelian phases arising in networks of coupled defects will be explored. Protocols for controlling non-Abelian anyons and zero modes will be developed and optimized, aiming to minimize errors arising from imperfections in physical implementations. The second direction will explore the exciting possibility of inducing topological behaviour in non-equilibrium systems. Periodically driven systems, such as matter interacting with light, can exhibit anomalous topological phenomena with no analogue in static systems, which we intend to reveal and classify. We will study the unique many body physics arising from the interplay of topological Bloch-Floquet band structures, inter-particle interactions, and coupling to the environment. Finally, for both research directions we will consider possible experimental realizations in a variety of solid state and cold atom systems along with designated probes.


year authors and title journal last update
List of publications.
2017 Nathan, Frederik; Abanin, Dmitry; Berg, Erez; Lindner, Netanel H.; Rudner, Mark S.
Stability of Anomalous Floquet Insulators
published pages: , ISSN: , DOI:
2 2019-05-29
2017 Kundu, Arijit; Rudner, Mark; Berg, Erez; Lindner, Netanel H.
Quantized large-bias current in the anomalous Floquet-Anderson insulator
published pages: , ISSN: , DOI:
5 2019-05-29
2018 Karthik I. Seetharam, Charles-Edouard Bardyn, Netanel H. Lindner, Mark S. Rudner, Gil Refael
Steady state of interacting Floquet insulators
published pages: , ISSN: , DOI:
2018 Learning a local Hamiltonian from local measurements
Learning a local Hamiltonian from local measurements
published pages: , ISSN: , DOI:
2017 Eran Sagi, Arbel Haim, Erez Berg, Felix von Oppen, Yuval Oreg
Fractional chiral superconductors
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.96.235144
Physical Review B 96/23 2019-05-29
2017 Falko Pientka, Anna Keselman, Erez Berg, Amir Yacoby, Ady Stern, Bertrand I. Halperin
Topological Superconductivity in a Planar Josephson Junction
published pages: , ISSN: 2160-3308, DOI: 10.1103/physrevx.7.021032
Physical Review X 7/2 2019-05-29
2018 Simon Stützer, Yonatan Plotnik, Yaakov Lumer, Paraj Titum, Netanel H. Lindner, Mordechai Segev, Mikael C. Rechtsman, Alexander Szameit
Photonic topological Anderson insulators
published pages: 461-465, ISSN: 0028-0836, DOI: 10.1038/s41586-018-0418-2
Nature 560/7719 2019-05-29
2017 Frederik Nathan, Mark S. Rudner, Netanel H. Lindner, Erez Berg, Gil Refael
Quantized Magnetization Density in Periodically Driven Systems
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.119.186801
Physical Review Letters 119/18 2019-05-29
2018 Iliya Esin, Mark S. Rudner, Gil Refael, Netanel H. Lindner
Quantized transport and steady states of Floquet topological insulators
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.245401
Physical Review B 97/24 2019-05-29
2017 Ching-Kit Chan, Netanel H. Lindner, Gil Refael, Patrick A. Lee
Photocurrents in Weyl semimetals
published pages: 41104, ISSN: 2469-9950, DOI: 10.1103/physrevb.95.041104
Physical Review B 95/4 2019-05-27
2017 D. Meidan, E. Berg, Ady Stern
Classification of topological phases of parafermionic chains with symmetries
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.95.205104
Physical Review B 95/20 2019-05-27
2016 Paraj Titum, Erez Berg, Mark S. Rudner, Gil Refael, Netanel H. Lindner
Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump
published pages: , ISSN: 2160-3308, DOI: 10.1103/physrevx.6.021013
Physical Review X 6/2 2019-05-27
2017 Eyal Bairey, Gil Refael, Netanel H. Lindner
Driving induced many-body localization
published pages: 20201, ISSN: 2469-9969, DOI: 10.1103/physrevb.96.020201
Physical Review B 96/2 2019-05-27
2017 Yonathan Efroni, Shahal Ilani, Erez Berg
Topological Transitions and Fractional Charges Induced by Strain and a Magnetic Field in Carbon Nanotubes
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.119.147704
Physical Review Letters 119/14 2019-05-27
2017 Netanel H. Lindner, Erez Berg, Mark S. Rudner
Universal Chiral Quasisteady States in Periodically Driven Many-Body Systems
published pages: 11018, ISSN: 2160-3308, DOI: 10.1103/physrevx.7.011018
Physical Review X 7/1 2019-05-27
2017 Maciej Koch-Janusz, Kusum Dhochak, Erez Berg
Edge-entanglement correspondence for a gapped topological phase with symmetry
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.95.205110
Physical Review B 95/20 2019-05-27
2017 Ori Alberton, Jonathan Ruhman, Erez Berg, Ehud Altman
Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.95.075132
Physical Review B 95/7 2019-05-27
2016 Arbel Haim, Konrad Wölms, Erez Berg, Yuval Oreg, Karsten Flensberg
Interaction-driven topological superconductivity in one dimension
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.94.115124
Physical Review B 94/11 2019-05-27
2017 Paraj Titum, Netanel H. Lindner, Gil Refael
Disorder-induced transitions in resonantly driven Floquet topological insulators
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.96.054207
Physical Review B 96/5 2019-05-27
2016 Arbel Haim, Erez Berg, Karsten Flensberg, Yuval Oreg
No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.94.161110
Physical Review B 94/16 2019-05-27

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