Relativistic Fermions in Flatland: theory and application

Europe/Rome
Virtual (ECT* - Trento)

Virtual

ECT* - Trento

Zoom Platform
Simon Hands - Swansea University (Swansea University), Holger Gies - Friedrich Schiller University Jena (Friedrich Schiller University Jena), John Gracey - University of Liverpool (University of Liverpool), Igor Herbut - Simon Fraser University (Simon Fraser University)
Description

Relativistic Fermions in Flatland: theory and application

Planar fermions occur frequently in layered systems and are extensively studied in condensed matter physics; for instance, electronic properties of graphene have long been understood in terms of relativistic fermions centered on Dirac points in momentum space, but the influence of interactions between charge-carrying degrees of freedom is less wellunderstood and remains an active field of study. Other examples are furnished by cuprate superconductors and materials with symmetry-protected topological phases. Quantum fermions in 2+1d also present many theoretical challenges, and there is a parallel renaissance of interest involving among others workers in large loop-order perturbation theory, functional renormalisation group, conformal bootstrap, and lattice simulation, tools mainly developed for particle theory, for whose practitioners such systems encapsulate essential challenges for their respective agendas.

A week-long workshop is a perfect opportunity to assemble attendees spanning this diverse community, stimulate knowledge exchange, and spawn fresh research directions.

                 

                                                 

                                    

Contact: Susan Driessen
    • 1
      Session Chair: Simon Hands
    • 2
      Welcome | Hubbard/Gross-Neveu Models + intro by ECT* Director
    • 3
      Universal critical behavior in Hubbard models with Dirac dispersion
      Speaker: Sandro Sorella
    • 4
      Recent advancements in the functional renormalization group description of the 2D Hubbard model
      Speaker: Sabine Andergassen
    • 15:45
      Break/Gather Town
    • 5
      Session Chair: Simon Hands
    • 6
      Non-perturbative Renormalization Group for DIrac Fermions; interactions and quasi-periodic discrder
      Speaker: Vieri Mastropietro
    • 7
      The Majorana-Hubbard Model
      Speaker: Ian Affleck
    • 8
      Close
    • 9
      QED3, large N and critical behaviour - Session Chair John Gracey
    • 10
      Anomalous Dimensions from Massive Vacuum Diagrams
      Speaker: Peter Marquard
    • 11
      Rigorous fixed points of 3d and 4d flatland QFTs
      Speaker: Daniel Litim
    • 15:30
      Break/Gather Town
    • 12
      Session Chair John Gracey
    • 13
      Fermions in the Conformal Bootstrap
      Speaker: David Poland
    • 14
      QED3 in condensed matter: from quantum criticality to instanton zero modes
      Speaker: Joseph Maciejko
    • 15
      Close
    • 16
      Condensed matter applications - Session Chair Holger Gies
    • 17
      Numerical simulations of Dirac systems
      Speaker: Fakher Assaad
    • 18
      Quantum criticality between spin liquids and long-range order
      Speaker: Lukas Janssen
    • 15:30
      Poster session Gather Town
    • 19
      Session Chair Holger Gies
    • 20
      Gross-Neveu-SO(3) quantum criticality from field theory beyond leading order
      Speaker: Shouryya Ray
    • 21
      Simulating bot parity sectors of the Hybbard model with tensor networks
      Speaker: Johann Ostmeyer
    • 22
      Non-perturbative study of the Fermi velocity renormalization in graphene using large-scale QMC calculation
      Speaker: Maksim Ulybyshev
    • 23
      Emergent SO(5) symmetry in the global phase diagram of extended Hubbard model in monolayer graphene
      Speaker: Bitan Roy
    • 24
      Close
    • 25
      Numerical simulations - Session Chair Simon Hands
    • 26
      Exotic quantum criticality: emergent supersymmetry and emergent SO(5) symmetry
      Speaker: Hong Yao
    • 27
      Phases and critical flavor number of 3d Thirring model
      Speaker: Andreas Wipf
    • 15:30
      Break/Gather Town
    • 28
      Session Chair: Holger Gies
    • 29
      Is the semimetal-insulator transition in graphene a conformal transition?
      Speaker: Pavel Buividovich
    • 30
      Lattice in flatland: Investigations of IR conformality and topological defects
      Speaker: Nikhil Karthik
    • 31
      Close
    • 32
      SUSY and beyond - Session Chair John Gracey
    • 33
      Emergent supersymmetry at the critical point of Yukawa systems
      Speaker: Omar Zanusso
    • 34
      Lattice studies of supersymmetric Yang--Mills in 2+1 dimensions
      Speaker: David Schaich
    • 15:30
      Break/Gather Town
    • 35
      Session Chair Simon Hands
    • 36
      Interacting massless Dirac fermions with spin-charge flip symmetry
      Speaker: Shailesh Chandrasekharan
    • 37
      Symmetric Mass Generation in Lattice Gauge Theory
      Speaker: Simon Catterall
    • 38
      Close