Discrete gauge theories coupled to fermionic matter

• Applicant: Sergej Moroz, Ph.D.
• Subject Area: Theoretical Condensed Matter Physics
• Term: from 2016 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 278664761

• Final Report Year: 2024

Final Report Abstract

In summary, between August 2016 and August 2022 our Emmy Noether group performed diverse theoretical investigations of quantum fluids and crystals with a special emphasis on low-dimensional systems. We developed low-energy effective field theories of two-dimensional chiral p + ip superfluids and vortex crystals and extracted universal low-energy quantities from these theories. Our research on chiral superfluids motivated us to undertake investigations of the lattice problem, where single-component fermions are coupled to the discrete Ising Z2 dynamical gauge field. This turned out to be an extremely fruitful and timely research direction which allowed us to uncover several unexpected and novel results about the interplay of dynamical gauge field with quantum matter. In addition to these main studies, we (i) advanced the understanding of nodal structures in the band theory by investigating the Weyl nodal surfaces; (ii) made some progress towards better understanding of topological order in two-dimensional superconductors; (iii) uncovered surprising physics of the elastic edge waves in crystals with Lorentz forces; (iv) found emergent fragmentation and integrable transport in quantum dynamics of the weakly-tilted Ising chain. Our investigations of these emergent phenomena in quantum matter were filled with excitement, determination and joy.

Publications

• Effective field theory of a vortex lattice in a bosonic superfluid. SciPost Physics, 5(4).
  Moroz, Sergej; Hoyos, Carlos; Benzoni, Claudio & Son, Dam Thanh
  
• Weyl nodal surfaces. Physical Review B, 97(7).
  Türker, Oğuz & Moroz, Sergej
  
• Bosonic Superfluid on the Lowest Landau Level. Physical Review Letters, 122(23).
  Moroz, Sergej & Son, Dam Thanh
  
• Confined Phases of One-Dimensional Spinless Fermions Coupled to Z2 Gauge Theory. Physical Review Letters, 124(12).
  Borla, Umberto; Verresen, Ruben; Grusdt, Fabian & Moroz, Sergej
  
• Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting. SciPost Physics, 9(5).
  Nguyen, Dung; Gromov, Andrey & Moroz, Sergej
  
• Hall viscosity and conductivity of two-dimensional chiral superconductors. SciPost Physics, 9(1).
  Rose, Félix; Golan, Omri & Moroz, Sergej
  
• Gauging the Kitaev chain. SciPost Physics, 10(6).
  Borla, Umberto; Verresen, Ruben; Shah, Jeet & Moroz, Sergej
  
• Rayleigh edge waves in two-dimensional crystals with Lorentz forces: From skyrmion crystals to gyroscopic media. Physical Review B, 104(2).
  Benzoni, Claudio; Jeevanesan, Bhilahari & Moroz, Sergej
  
• Fragmentation and Emergent Integrable Transport in the Weakly Tilted Ising Chain. Physical Review Letters, 128(19).
  Bastianello, Alvise; Borla, Umberto & Moroz, Sergej
  
• Quantum phases of two-dimensional Z2 gauge theory coupled to single-component fermion matter. Physical Review B, 105(7).
  Borla, Umberto; Jeevanesan, Bhilahari; Pollmann, Frank & Moroz, Sergej
  
• Surface waves and bulk Ruderman mode of a bosonic superfluid vortex crystal in the lowest Landau level. Physical Review B, 106(14).
  Jeevanesan, Bhilahari; Benzoni, Claudio & Moroz, Sergej
  
• Fractionalized holes in one-dimensional Z2 gauge theory coupled to fermion matter: Deconfined dynamics and emergent integrability: Deconfined dynamics and emergent integrability. Physical Review B, 107(6).
  Das, Aritra; Borla, Umberto & Moroz, Sergej