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Proposals to Realize Topological Superconductivity in Cuprates by Twisting and Stacking

1. High-temperature topological superconductivity in twisted double layer copper oxides Authors: Oguzhan Can, Tarun Tummuru, Ryan P. Day, Ilya Elfimov, Andrea Damascelli, and Marcel Franz Nature Physics 17, 519-524 (2021); DOI: 10.1038/s41567-020-01142-7 arXiv:2012.01412 2. Magic angles and current-induced topology in twisted nodal superconductors Authors: Pavel A. Volkov, Justin H. Wilson, and J. H. Pixley arXiv:2012.07860 […]

A pathway to parafermions

Induced superconductivity in the fractional quantum Hall edge Authors: Önder Gül, Yuval Ronen, Si Young Lee, Hassan Shapourian, Jonathan Zauberman, Young Hee Lee, Kenji Watanabe, Takashi Taniguchi, Ashvin Vishwanath, Amir Yacoby, and Philip Kim arXiv:2009.07836 Recommended with a commentary by Jason Alicea, California Institute of Technology |View Commentary (pdf)| This commentary may be cited as: […]

Stronger-correlated superconductivity in magic-angle twisted trilayer graphene

1. Magic Angle Hierarchy in Twisted Graphene Multilayers Authors: E. Khalaf, A. J. Kruchkov, G. Tarnopolsky, and A. Vishwanath Phys. Rev. B 100, 085109 (2019); DOI: 10.1103/PhysRevB.100.085109 arXiv:1901.10485 2. Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene Authors: JM Park, Y. Cao, K. Watanabe, T. Taniguchi, and P. Jarillo-Herrero arXiv:2012.01434 […]

Fermi arcs tie the knot

1. Cyclotron orbit knot and tunable-field quantum Hall effect Authors: Yi Zhang Phys. Rev. Research 1, 022005(R) (2019); DOI: 10.1103/PhysRevResearch.1.022005 2. Quantum Hall effect based on Weyl orbits in Cd3As2 Authors: Cheng Zhang, Yi Zhang, Xiang Yuan, Shiheng Lu, Jinglei Zhang, Awadhesh Narayan, Yanwen Liu, Huiqin Zhang, Zhuoliang Ni, Ran Liu, Eun Sang Choi, Alexey […]

Fractional Quantum Hall from Overlap of Electron-Hole Bands

Fractional Excitonic Insulator Authors: Yichen Hu, Jörn W. F. Venderbos, C. L. Kane Phys. Rev. Lett. 121, 126601 (2018), arXiv:1806.05681 Recommended with a commentary by Ashvin Vishwanath, Harvard University |View Commentary (pdf)|

Electronic bands of twisted graphene layers

1. Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene Authors: Hoi Chun Po, Liujun Zou, Ashvin Vishwanath, and T. Senthil arXiv:1803.09742, Phys. Rev. X 8, 031089 (2018) 2. Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands Authors: Jian Kang and Oskar Vafek arXiv:1805.04918, Phys. Rev. […]

From local observables in a single eigenstate to parent Hamiltonians

Determining a local Hamiltonian from a single eigenstate Authors: Xiao-Liang Qi and Daniel Ranard arXiv:1712.01850 Recommended with a commentary by Ashvin Vishwanath, Harvard University. |View Commentary| DOI: 10.36471/JCCM_January_2018_02

Closing the Gap in Band Theory

Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups Authors: Haruki Watanabe, Hoi Chun Po, Michael P. Zaletel, and Ashvin Vishwanath Phys. Rev. Lett. 117, 096404 (2016) Recommended with a commentary by Liang Fu, Massachusetts Institute of Technology. |View Commentary| DOI: 10.36471/JCCM_August_2017_01

A Dirac Spin Liquid May Fill the Gap in the Kagome Antiferromagnet

1. Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model. Authors: Yin- Chen He, Michael P. Zaletel, Masaki Oshikawa, and Frank Pollmann. arXiv:1611.06238 2. Competing Spin Liquid Phases in the S=1/2 Heisenberg Model on the Kagome Lattice. Authors: Shenghan Jiang, Panjin Kim, Jung Hoon Han, Ying Ran. arXiv:1610.02024 Recommended with a […]

Emergent technology based on Fermi-arcs?

1. Transport evidence for Fermi-arc-mediated chirality transfer in the Dirac semimetal Cd3As2. Author: P. J. W. Moll, N. L. Nair, T. Helm, A. C. Potter, I. Kimchi, A. Vishwanath, J. G. Analytis. Nature 535, 266 (2016) 2. Current at a Distance and Resonant Transparency in Weyl Semimetals. Authors: Y. Baum, E. Berg, S. A. Parameswaran, […]

Measuring Entanglement by Swapping Quantum Twins

Measuring entanglement entropy through the interference of quantum many-body twins. Authors: Rajibul Islam, Ruichao Ma, Philipp M. Preiss, M. Eric Tai, Alexander Lukin, Matthew Rispoli, Markus Greiner. arXiv:1509.01160 Recommended with a commentary by Ashvin Vishwanath, UC Berkeley. |View Commentary| DOI: 10.36471/JCCM_January_2016_03

Composite fermions meet Dirac

1.Is the composite fermion a Dirac particle? Authors:Dam Thanh Son. arXiv:1502.03446(2015) 2.Dual Dirac liquid on the surface of the electron topological insulator. Authors:Chong Wang and T. Senthil. arXiv:1505.05141(2015) 3.Particle-vortex duality of 2D Dirac fermion from electric-magnetic duality of 3D topological insulators. Authors:Max A. Metlitski and Ashvin Vishwanath. arXiv:1505.05142(2015) 4.Half-filled Landau level, topological insulator surfaces, and […]

Experimental Observation of Weyl Semimetals

1.Experimental observation of Weyl points. Authors: Ling Lu, Zhiyu Wang, Dexin Ye, Lixin Ran, Liang Fu, John D. Joannopoulos, Marin Soljacic. arXiv:1502.03438 2.Experimental realization of a topological Weyl semimetal phase with Fermi arc surface states in TaAs. Authors: S.Y. Xu, I. Belopolski, N. Alidoust, M. Neupane, C. Zhang, R. Sankar, S.M. Huang, C.C. Lee, G. […]

On Non-Fermi liquid phases due to Goldstone boson exchange

Criterion for stability of Goldstone Modes and Fermi Liquid behavior in a metal with broken symmetry Authors: Haruki Watanabe and Ashvin Vishwanath arXiv: 1404.3728 Recommended with a commentary by Jörg Schmalian, Karlsruhe Institute of Technology |View Commentary| DOI: 10.36471/JCCM_September_2014_03

Quantum Entanglement sheds new light on an old problem

Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity Authors: Tarun Grover arXiv:1211.1392 Recommended with a commentary by Ashvin Vishwanath, UC Berkeley |View Commentary| DOI: 10.36471/JCCM_January_2014_02

Fractionalized two-dimensional states on surfaces of three dimensional topological insulators

1. A Time-Reversal Invariant Topological Phase at the Surface of a 3D Topological Insulator Authors: Parsa Bonderson, Chetan Nayak, Xiao-Liang Qi J. Stat. Mech. (2013) P09016 2. Gapped Symmetry Preserving Surface-State for the Electron Topological Insulator Authors: Chong Wang, Andrew C. Potter, T. Senthil Phys. Rev. B 88, 115137 (2013), arXiv:1306.3223 3. Symmetry Enforced Non-Abelian […]

Quantum Orders from Strong Disorder

1. Localization protected quantum order. Authors: David A. Huse, Rahul Nandkishore, Vadim Oganesyan, Arijeet Pal, and S.L.Sondhi. Phys. Rev. B 88, 014206 (2013), arXiv:1304.1158. Recommended with a commentary by Ashvin Vishwanath, UC Berkeley |View Commentary (PDF)| DOI: 10.36471/JCCM_July_2013_02


1. Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect. Authors: Ashvin Vishwanath, T. Senthil, arXiv:1209.3058. 2. Three dimensional Symmetry Protected Topological Phase close to Antiferromagnetic Neel order. Author: Cenke Xu, arXiv:1209.4399. Recommended and a Commentary by M.P.A. Fisher, UC Santa Barbara | View Commentary (pdf) |. DOI: 10.36471/JCCM_February_2013_01

Identifying a spin liquid on the Kagome lattice using quantum entanglement

1. Identifying Topological Order by Entanglement Entropy. Authors: Hong-Chen Jiang, Zhenghan Wang, and Leon Balents. arXiv:1205.4289v1 2. Nature of the Spin Liquid Ground State of the S = 1/2 Kagome Heisenberg Model. Authors: Stefan Depenbrock, Ian P. McCulloch, and Ulrich Schollwoeck. arXiv:1205.4858v1 Recommended with a commentary by Ashvin Vishwanath, UC Berkeley |View Commentary (PDF)| DOI: […]

And now, Weyl fermions

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates. Authors: X. Wan, A.M. Turner, A. Vishwanath and S.Y. Savrasov. Phys. Rev. B 83, 205101 (2011) Recommended with a commentary by Vivek Aji, University of California Riverside |View Commentary (pdf)| DOI: 10.36471/JCCM_April_2012_01