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Topological Matter and Crystal Symmetry: From Microscopic Structure to Phenomenology

Total Cost €


EC-Contrib. €






 TMCS project word cloud

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

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Project "TMCS" data sheet

The following table provides information about the project.


Organization address
city: OXFORD
postcode: OX1 2JD

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 United Kingdom [UK]
 Total cost 1˙499˙622 €
 EC max contribution 1˙499˙622 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2018-STG
 Funding Scheme ERC-STG
 Starting year 2019
 Duration (year-month-day) from 2019-01-01   to  2023-12-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

This ERC project will build a wide-ranging theory of strongly-correlated topological states of matter in three dimensions, via analytical, numerical, and phenomenological approaches. It will use non-symmorphic crystal symmetry as an organizing principle to identify systems that are good candidates to host fractionalized states of matter. Via slave-particle mean-field theories used in concert with symmetry analysis, it will provide a systematic classification of different possible spin-charge-separated, topologically ordered, and broken-symmetry states in correlated Mott insulators and heavy-fermion materials. This mean-field study of model Hamiltonians will be wedded to a sophisticated new variational tensor-network scheme for simulating physically-realistic systems. Separately, an analytical classification of gapless ‘U(1)’ quantum spin liquids with emergent photon excitations will be implemented. Variational trial wavefunctions will also be developed to access a new class of interacting 'topological quantum paramagnets’ with gapless edge states.

The symmetry analysis will be coupled to two phenomenological studies. One will examine unconventional surface state properties of topological semimetals, and extend these to the interacting regime. Another will develop a spectroscopic theory for topological matter with symmetry, leveraging results from the parton approach where possible. Experimental input from studies of nematic quantum Hall states and photoemission studies of Weyl semimetals will provide feedback to this effort.

A final thrust of activity will focus on newly-proposed fracton states of matter not captured by usual theories of topological order, and will employ both analytical parton techniques and numerical quantum Monte Carlo simulations.

At its close, this project will deliver a dramatically altered understanding of three dimensional topological phases and provide a new class of analytical and numerical tools as a platform for future studies.


List of deliverables.
Data Management Plan Open Research Data Pilot 2019-09-13 15:29:17

Take a look to the deliverables list in detail:  detailed list of TMCS deliverables.


year authors and title journal last update
List of publications.
2020 Y. H. Kwan, P. Reiss, Y. Han, M. Bristow, D. Prabhakaran, D. Graf, A. McCollam, S. A. Parameswaran, A. I. Coldea
Quantum oscillations probe the Fermi surface topology of the nodal-line semimetal CaAgAs
published pages: 012055(R), ISSN: 2643-1564, DOI: 10.1103/physrevresearch.2.012055
Physical Review Research 2/1 2020-04-15
2019 Kartiek Agarwal, Mallika T. Randeria, A. Yazdani, S. L. Sondhi, S. A. Parameswaran
Topology- and symmetry-protected domain wall conduction in quantum Hall nematics
published pages: 165103, ISSN: 2469-9969, DOI: 10.1103/physrevb.100.165103
Physical Review B 100/16 2020-04-15
2020 Apoorv Tiwari, Ming-Hao Li, B. A. Bernevig, Titus Neupert, S. A. Parameswaran
Unhinging the Surfaces of Higher-Order Topological Insulators and Superconductors
published pages: 46801, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.124.046801
Physical Review Letters 124/4 2020-04-15
2020 Felix Flicker, Steven H. Simon, S. A. Parameswaran
Classical Dimers on Penrose Tilings
published pages: , ISSN: 2160-3308, DOI: 10.1103/PhysRevX.10.011005
Physical Review X 10/1 2020-04-15

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