Abstract

A large negative thermal Hall signal has been reported across multiple cuprate families in the pseudogap phase where the superconducting order parameter has vanished, with a magnitude that no existing microscopic theory reproduces without free parameters. The paper proposes that the parity anomaly of (2 + 1)-dimensional quantum field theory resolves the puzzle: the preformed-pair pseudogap enters the parity-odd fermion determinant identically to a condensate mass, yielding a parameter-free formula for κxy/T in the pseudogap window Tc < T < T*. The work argues that Coleman-Hill non-renormalization protects the result, and that the thermal Hall onset should track the pseudogap scale rather than Tc, with potential tests in cuprates and magic-angle twisted bilayer graphene.

Abstract

A large negative thermal Hall signal has been reported across multiple cuprate families in the pseudogap phase where the superconducting order parameter has vanished, with a magnitude that no existing microscopic theory reproduces without free parameters. The paper proposes that the parity anomaly of (2 + 1)-dimensional quantum field theory resolves the puzzle: the preformed-pair pseudogap enters the parity-odd fermion determinant identically to a condensate mass, yielding a parameter-free formula for κxy/T in the pseudogap window Tc < T < T*. The work argues that Coleman-Hill non-renormalization protects the result, and that the thermal Hall onset should track the pseudogap scale rather than Tc, with potential tests in cuprates and magic-angle twisted bilayer graphene.

Abstract

A large negative thermal Hall signal has been reported across multiple cuprate families in the pseudogap phase where the superconducting order parameter has vanished, with a magnitude that no existing microscopic theory reproduces without free parameters. The paper proposes that the parity anomaly of (2 + 1)-dimensional quantum field theory resolves the puzzle: the preformed-pair pseudogap enters the parity-odd fermion determinant identically to a condensate mass, yielding a parameter-free formula for κxy/T in the pseudogap window Tc < T < T*. The work argues that Coleman-Hill non-renormalization protects the result, and that the thermal Hall onset should track the pseudogap scale rather than Tc, with potential tests in cuprates and magic-angle twisted bilayer graphene.

Abstract

A large negative thermal Hall signal has been reported across multiple cuprate families in the pseudogap phase where the superconducting order parameter has vanished, with a magnitude that no existing microscopic theory reproduces without free parameters. The paper proposes that the parity anomaly of (2 + 1)-dimensional quantum field theory resolves the puzzle: the preformed-pair pseudogap enters the parity-odd fermion determinant identically to a condensate mass, yielding a parameter-free formula for κxy/T in the pseudogap window Tc < T < T*. The work argues that Coleman-Hill non-renormalization protects the result, and that the thermal Hall onset should track the pseudogap scale rather than Tc, with potential tests in cuprates and magic-angle twisted bilayer graphene.