Dirac spin liquid as an “unnecessary” quantum critical point on square lattice antiferromagnets
Yunchao Zhang, Xue-Yang Song, T. Senthil
SciPost Phys. Core 8, 024 (2025) · published 18 February 2025
- doi: 10.21468/SciPostPhysCore.8.1.024
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Abstract
Quantum spin liquids are exotic phases of quantum matter especially pertinent to many modern condensed matter systems. Dirac spin liquids (DSLs) are a class of gapless quantum spin liquids that do not have a quasi-particle description and are potentially realized in a wide variety of spin $1/2$ magnetic systems on $2d$ lattices. In particular, the DSL in square lattice spin-$1/2$ magnets is described at low energies by $(2+1)d$ quantum electrodynamics with $N_f=4$ flavors of massless Dirac fermions minimally coupled to an emergent $U(1)$ gauge field. The existence of a relevant, symmetry-allowed monopole perturbation renders the DSL on the square lattice intrinsically unstable. We argue that the DSL describes a stable continuous phase transition within the familiar Neel phase (or within the Valence Bond Solid (VBS) phase). In other words, the DSL is an "unnecessary" quantum critical point within a single phase of matter. Our result offers a novel view of the square lattice DSL in that the critical spin liquid can exist within either the Neel or VBS state itself, and does not require leaving these conventional states.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Yunchao Zhang,
- 1 2 Xue-Yang Song,
- 1 Todadri Senthil
- 1 Massachusetts Institute of Technology [MIT]
- 2 香港科技大学 / Hong Kong University of Science and Technology [HKUST]