2019/11/11 by Yuan Yao, Yao, Yuan
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.1911.04425
openalex publication_date 2019/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce an unconventional regularization of condensed matter effective\nfield theory by a non-local bulk topological regulator in one higher dimension,\nwhich is equivalent to a bulk-interface-bulk formulation. We show its necessity\nmotivated by a (0+1)-dimensional system. Although the system can be strictly\ndefined on the lattice in its own dimensions, the bulk regulator is important\nto derive its correct physical observables, which cannot be captured by any\nlocal regulator. We explicitly obtain a constraint on the thermal and electric\ninteger Hall conductances of half-filled translation invariant N-flavor\ngapped fermionic system on a square lattice possessing a unique ground state\nwith uniform rational magnetic fluxes per unit cell in the presence of the\nonsite U(N) symmetry. The Wiedemann-Franz law is shown to be obeyed by the\nHall conductances regardless of arbitrarily strong interactions. We further\nobtain no-go theorems on the possible symmetric gapped phases.\n