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TMCS SIGNED

Topological Matter and Crystal Symmetry: From Microscopic Structure to Phenomenology

Total Cost €

EC-Contrib. €

Partnership

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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.

symmetry theory good wedded model newly erc topological mean usual weyl surface nematic organizing spectroscopic systematic broken scheme physically leveraging realistic variational hall separated fermion close paramagnets parton photon edge gapless simulating excitations dimensions sophisticated coupled wavefunctions slave classification techniques carlo charge regime numerical spin semimetals concert particle feedback examine captured symmorphic tools hamiltonians crystal class extend thrust experimental candidates theories platform correlated emergent materials employ ranging simulations trial mott topologically insulators network separately photoemission quantum altered ordered dimensional monte heavy analytical liquids dramatically final phases phenomenological fracton unconventional effort host fractionalized input tensor interacting

Project "TMCS" data sheet

The following table provides information about the project.

Coordinator	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Organization address address: WELLINGTON SQUARE UNIVERSITY OFFICES city: OXFORD postcode: OX1 2JD website: www.ox.ac.uk 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

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Organization address address: WELLINGTON SQUARE UNIVERSITY OFFICES city: OXFORD postcode: OX1 2JD website: www.ox.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (OXFORD)	coordinator	1˙499˙622.00

Map

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.

Deliverables

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.

Publications

List of publications.
year	authors and title	journal	last update
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.â€‰A. Bernevig, Titus Neupert, S.â€‰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.â€‰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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