Topological Matter and Crystal Symmetry: From Microscopic Structure to Phenomenology

Project Information

TMCS

Grant agreement ID: 804213

DOI

10.3030/804213

Project closed

EC signature date 23 August 2018

Start date 1 January 2019

End date 30 September 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 499 622,00

EU contribution

€ 1 499 622,00

Coordinated by

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
United Kingdom

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Open Research Data Pilot (1)

Data Management Plan

The data management plan will outline the strategy for this project's compliance with the Open Research Data initiative.

Publications

Peer reviewed articles (48)

Global Phase Diagram of the Normal State of Twisted Bilayer Graphene

Author(s): Glenn Wagner, Yves H. Kwan, Nick Bultinck, Steven H. Simon, S. A. Parameswaran
Published in: Physical Review Letters, Issue 128, 2022, Page(s) 156401, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.128.156401

Domain wall competition in the Chern insulating regime of twisted bilayer graphene

Author(s): Yves H. Kwan, Glenn Wagner, Nilotpal Chakraborty, Steven H. Simon, S. A. Parameswaran
Published in: Physical Review B, Issue 104/11, 2021, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.104.115404

Exciton Band Topology in Spontaneous Quantum Anomalous Hall Insulators: Applications to Twisted Bilayer Graphene

Author(s): Yves H. Kwan, Yichen Hu, Steven H. Simon, S. A. Parameswaran
Published in: Physical Review Letters, Issue 126/13, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.126.137601

Anomalous thermal relaxation and pump-probe spectroscopy of two-dimensional topologically ordered systems

Author(s): Max McGinley, Michele Fava, S. A. Parameswaran
Published in: Physical Review B, Issue 109, 2024, Page(s) 075108, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.109.075108

Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene

Author(s): Yves H. Kwan, Glenn Wagner, Nick Bultinck, Steven H. Simon, Erez Berg, S. A. Parameswaran
Published in: Physical Review B, Issue 110, 2024, Page(s) 085160, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.110.085160

Spin skyrmion gaps as signatures of strong-coupling insulators in magic-angle twisted bilayer graphene

Author(s): Jiachen Yu; Benjamin A. Foutty; Yves H. Kwan; Mark E. Barber; Kenji Watanabe; Takashi Taniguchi; Zhi-Xun Shen; Siddharth A. Parameswaran; Benjamin E. Feldman
Published in: Nature Communications, Issue 14, 2023, Page(s) 6679, ISSN 2041-1723
Publisher: Nature Publishing Group
DOI: 10.1038/s41467-023-42275-6

Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry

Author(s): Ming-Hao Li, Titus Neupert, S. A. Parameswaran, Apoorv Tiwari
Published in: Physical Review B, Issue 106, 2022, Page(s) 125121, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.106.125121

Electrons interacting with Goldstone modes and the rotating frame

Author(s): Konstantinos Vasiliou, Yuchi He, Nick Bultinck
Published in: Physical Review B, Issue 109, 2024, Page(s) 045155, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.109.045155

Superconductivity from repulsive interactions in Bernal-stacked bilayer graphene

Author(s): Glenn Wagner, Yves H. Kwan, Nick Bultinck, Steven H. Simon, S. A. Parameswaran
Published in: Physical Review B, Issue 110, 2024, Page(s) 214517, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.110.214517

Long-ranged spectral correlations in eigenstate phases

Author(s): Mahaveer Prasad; Abhishodh Prakash; J H Pixley; Manas Kulkarni
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 57, 2023, Page(s) 015003, ISSN 1751-8121
Publisher: Institute of Physics
DOI: 10.1088/1751-8121/ad1342

"Coulomb-driven band unflattening suppresses <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML""><mml:mi>K</mml:mi></mml:math>-phonon pairing in moiré graphene"

Author(s): Glenn Wagner, Yves H. Kwan, Nick Bultinck, Steven H. Simon, S. A. Parameswaran
Published in: Physical Review B, Issue 109, 2024, Page(s) 104504, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.109.104504

"Fractional Chern Insulator in Twisted Bilayer <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML"" display=""inline""><mml:mrow><mml:msub><mml:mrow><mml:mi>MoTe</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>"

Author(s): Chong Wang, Xiao-Wei Zhang, Xiaoyu Liu, Yuchi He, Xiaodong Xu, Ying Ran, Ting Cao, Di Xiao
Published in: Physical Review Letters, Issue 132, 2025, Page(s) 036501, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.132.036501

Multiversality and Unnecessary Criticality in One Dimension

Author(s): Abhishodh Prakash, Michele Fava, S. A. Parameswaran
Published in: Physical Review Letters, Issue 130, 2023, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.130.256401

Minimal Hubbard Models of Maximal Hilbert Space Fragmentation

Author(s): Yves H. Kwan, Patrick H. Wilhelm, Sounak Biswas, S. A. Parameswaran
Published in: Physical Review Letters, Issue 134, 2025, Page(s) 010411, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.134.010411

Signatures of Fractional Statistics in Nonlinear Pump-Probe Spectroscopy

Author(s): Max McGinley, Michele Fava, S. A. Parameswaran
Published in: Physical Review Letters, Issue 132, 2024, Page(s) 066702, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.132.066702

Kekulé Spiral Order at All Nonzero Integer Fillings in Twisted Bilayer Graphene

Author(s): Y.H. Kwan, G. Wagner, T. Soejima, M. P. Zaletel, S. H. Simon, S. A. Parameswaran, and N. Bultinck
Published in: Physical Review X, Issue 11, 2021, Page(s) 041063, ISSN 2160-3308
Publisher: American Physical Society
DOI: 10.1103/physrevx.11.041063

Dulmage-Mendelsohn Percolation: Geometry of Maximally Packed Dimer Models and Topologically Protected Zero Modes on Site-Diluted Bipartite Lattices

Author(s): Ritesh Bhola, Sounak Biswas, Md Mursalin Islam, Kedar Damle
Published in: Physical Review X, Issue 12, 2022, Page(s) 021058, ISSN 2160-3308
Publisher: American Physical Society
DOI: 10.1103/physrevx.12.021058

Shadow Tomography from Emergent State Designs in Analog Quantum Simulators

Author(s): Max McGinley; Michele Fava
Published in: Physical Review letters, Issue 131, 2023, Page(s) 160601, ISSN 1079-7114
Publisher: American Physical Society
DOI: 10.1103/physrevlett.131.160601

Hydrodynamic nonlinear response of interacting integrable systems

Author(s): Michele Fava, Sounak Biswas, Sarang Gopalakrishnan, Romain Vasseur, S. A. Parameswaran
Published in: Proceedings of the National Academy of Sciences, Issue 118/37, 2021, Page(s) e2106945118, ISSN 0027-8424
Publisher: National Academy of Sciences
DOI: 10.1073/pnas.2106945118

Excitonic fractional quantum Hall hierarchy in moiré heterostructures

Author(s): Yves H. Kwan, Yichen Hu, Steven H. Simon, S. A. Parameswaran
Published in: Physical Review B, Issue 105, 2022, Page(s) 235121, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.105.235121

Superuniversality from disorder at two-dimensional topological phase transitions

Author(s): Byungmin Kang, S. A. Parameswaran, Andrew C. Potter, Romain Vasseur, Snir Gazit
Published in: Physical Review B, Issue 102/22, 2020, Page(s) 224204, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.102.224204

Finite-Entanglement Scaling of 2D Metals

Author(s): Quinten Mortier, Ming-Hao Li, Jutho Haegeman, Nick Bultinck
Published in: Physical Review Letters, Issue 131, 2025, Page(s) 266202, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.131.266202

Supersymmetry on the honeycomb lattice: Resonating charge stripes, superfrustration, and domain walls

Author(s): Patrick H. Wilhelm, Yves H. Kwan, Andreas M. Läuchli, S. A. Parameswaran
Published in: Physical Review B, Issue 110, 2024, Page(s) 165124, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.110.165124

Classical nonrelativistic fractons

Author(s): Prakash, A; Goriely, A; Sondhi, SL
Published in: Physical Review B, Issue 109, 2024, Page(s) 054313, ISSN 2469-9969
Publisher: American Physical Society
DOI: 10.1103/physrevb.109.054313

Odd fracton theories, proximate orders, and parton constructions

Author(s): Michael Pretko, S. A. Parameswaran, Michael Hermele
Published in: Physical Review B, Issue 102/20, 2020, Page(s) 205106, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.102.205106

Gate-Tunable Antiferromagnetic Chern Insulator in Twisted Bilayer Transition Metal Dichalcogenides

Author(s): Xiaoyu Liu, Yuchi He, Chong Wang, Xiao-Wei Zhang, Ting Cao, Di Xiao
Published in: Physical Review Letters, Issue 132, 2025, Page(s) 146401, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.132.146401

Skyrmions in Twisted Bilayer Graphene: Stability, Pairing, and Crystallization

Author(s): Yves H. Kwan, Glenn Wagner, Nick Bultinck, Steven H. Simon, S. A. Parameswaran
Published in: Physical Review X, Issue 12, 2022, Page(s) 031020, ISSN 2160-3308
Publisher: American Physical Society
DOI: 10.1103/physrevx.12.031020

Classical Dimers on Penrose Tilings

Author(s): Felix Flicker, Steven H. Simon, S. A. Parameswaran
Published in: Physical Review X, Issue 10/1, 2020, ISSN 2160-3308
Publisher: American Physical Society
DOI: 10.1103/PhysRevX.10.011005

Unhinging the Surfaces of Higher-Order Topological Insulators and Superconductors

Author(s): Apoorv Tiwari, Ming-Hao Li, B. A. Bernevig, Titus Neupert, S. A. Parameswaran
Published in: Physical Review Letters, Issue 124/4, 2020, Page(s) 046801, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.124.046801

Quantum oscillations probe the Fermi surface topology of the nodal-line semimetal CaAgAs

Author(s): Y. H. Kwan, P. Reiss, Y. Han, M. Bristow, D. Prabhakaran, D. Graf, A. McCollam, S. A. Parameswaran, A. I. Coldea
Published in: Physical Review Research, Issue 2/1, 2020, Page(s) 012055(R), ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.2.012055

Topology- and symmetry-protected domain wall conduction in quantum Hall nematics

Author(s): Kartiek Agarwal, Mallika T. Randeria, A. Yazdani, S. L. Sondhi, S. A. Parameswaran
Published in: Physical Review B, Issue 100/16, 2019, Page(s) 165103, ISSN 2469-9969
Publisher: American Physical Society
DOI: 10.1103/physrevb.100.165103

Beyond the freshman's dream: Classical fractal spin liquids from matrix cellular automata in three-dimensional lattice models

Author(s): Sounak Biswas, Yves H. Kwan, S. A. Parameswaran
Published in: Physical Review B, Issue 105, 2022, Page(s) 224410, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.105.224410

Topological dualities via tensor networks

Author(s): C. Wille; J. Eisert; A. Altland
Published in: Physical Review Research, Issue 6, 2024, Page(s) 013302, ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.6.013302

Out-of-equilibrium dynamics of the XY spin chain from form factor expansion

Author(s): Etienne Granet, Henrik Dreyer, Fabian Essler
Published in: SciPost Physics, Issue 12, 2022, Page(s) 1.019, ISSN 2542-4653
Publisher: SciPost Physics
DOI: 10.21468/scipostphys.12.1.019

A proposal to demonstrate non-abelian anyons on a NISQ device

Author(s): Jovan Jovanović; Carolin Wille; Daan Timmers; Steven H. Simon
Published in: Quantum, Issue 8, 2024, Page(s) 1408, ISSN 2521-327X
Publisher: Quantum Journal
DOI: 10.22331/q-2024-07-11-1408

Symmetry-enriched criticality in a coupled spin ladder

Author(s): Suman Mondal; Adhip Agarwala; Tapan Mishra; Abhishodh Prakash
Published in: Physical Review B, Issue 108, 2023, Page(s) 245135, ISSN 2469-9969
Publisher: American Physical Society
DOI: 10.1103/physrevb.108.245135

Twisted bilayer graphene in a parallel magnetic field

Author(s): Yves H. Kwan, S. A. Parameswaran, S. L. Sondhi
Published in: Physical Review B, Issue 101/20, 2020, ISSN 2469-9969
Publisher: American Physical Society
DOI: 10.1103/physrevb.101.205116

Divergent Nonlinear Response from Quasiparticle Interactions

Author(s): Michele Fava, Sarang Gopalakrishnan, Romain Vasseur, Fabian Essler, S. A. Parameswaran
Published in: Physical Review Letters, Issue 131, 2023, Page(s) 256505, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.131.256505

Quantum Oscillations in the Zeroth Landau Level: Serpentine Landau Fan and the Chiral Anomaly

Author(s): T. Devakul, Yves H. Kwan, S. L. Sondhi, S. A. Parameswaran
Published in: Physical Review Letters, Issue 127/11, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.127.116602

Machian fractons, Hamiltonian attractors, and nonequilibrium steady states

Author(s): Abhishodh Prakash; Ylias Sadki; S. L. Sondhi
Published in: Physical Review B, Issue 110, 2024, Page(s) 024305, ISSN 2469-9969
Publisher: American Physical Society
DOI: 10.1103/physrevb.110.024305

Glide symmetry breaking and Ising criticality in the quasi-1D magnet CoNb 2 O 6

Author(s): Michele Fava, Radu Coldea, S. A. Parameswaran
Published in: Proceedings of the National Academy of Sciences, Issue 117/41, 2020, Page(s) 25219-25224, ISSN 0027-8424
Publisher: National Academy of Sciences
DOI: 10.1073/pnas.2007986117

Statistical mechanics of dimers on quasiperiodic Ammann-Beenker tilings

Author(s): Jerome Lloyd, Sounak Biswas, Steven H. Simon, S. A. Parameswaran, Felix Flicker
Published in: Physical Review B, Issue 106, 2023, Page(s) 094202, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.106.094202

Bipartite Sachdev-Ye models with Read-Saleur symmetries

Author(s): J. Classen-Howes; P. Fendley; A. Pandey; S. A. Parameswaran
Published in: Physical Review B, Issue 110, 2024, Page(s) 125140, ISSN 2469-9969
Publisher: American Physical Society
DOI: 10.1103/physrevb.110.125140

Theory of competing excitonic orders in insulating WTe 2 monolayers

Author(s): Yves H. Kwan, T. Devakul, S. L. Sondhi, S. A. Parameswaran
Published in: Physical Review B, Issue 104/12, 2021, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.104.125133

Compression theory for inhomogeneous systems

Author(s): Doruk Efe Gökmen, Sounak Biswas, Sebastian D. Huber, Zohar Ringel, Felix Flicker, Maciej Koch-Janusz
Published in: Nature Communications, Issue 15, 2024, Page(s) 10214, ISSN 2041-1723
Publisher: Nature Publishing Group
DOI: 10.1038/s41467-024-54341-8

Asymptotically Exact Theory for Nonlinear Spectroscopy of Random Quantum Magnets

Author(s): S. A. Parameswaran, S. Gopalakrishnan
Published in: Physical Review Letters, Issue 125/23, 2020, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.125.237601

One-dimensional Luttinger liquids in a two-dimensional moiré lattice

Author(s): Pengjie Wang, Guo Yu, Yves H. Kwan, Yanyu Jia, Shiming Lei, Sebastian Klemenz, F. Alexandre Cevallos, Ratnadwip Singha, Trithep Devakul, Kenji Watanabe, Takashi Taniguchi, Shivaji L. Sondhi, Robert J. Cava, Leslie M. Schoop, Siddharth A. Parameswaran, Sanfeng Wu
Published in: Nature, Issue 605, 2022, Page(s) 57-62, ISSN 0028-0836
Publisher: Nature Publishing Group
DOI: 10.1038/s41586-022-04514-6

Kekulé spirals and charge transfer cascades in twisted symmetric trilayer graphene

Author(s): Ziwei Wang, Yves H. Kwan, Glenn Wagner, Nick Bultinck, Steven H. Simon, S. A. Parameswaran
Published in: Physical Review B, Issue 109, 2024, Page(s) l201119, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.109.l201119

Non-peer reviewed articles (1)

Quantum computing critical exponents

Author(s): Henrik Dreyer, Mircea Bejan, and Etienne Granet
Published in: Physical review A, Issue 104, 2021, Page(s) 062614, ISSN 1094-1622
Publisher: American Physical Society
DOI: 10.1103/physreva.104.062614