Twisted bilayer U(1) Dirac spin liquids

Kavli Affiliate: Leon Balents

| First 5 Authors: Zhu-Xi Luo, Urban F. P. Seifert, Leon Balents, ,

| Summary:

When two layers of two-dimensional materials are assembled with a relative
twist, moir’e patterns arise, inducing a tremendous wealth of exotic
phenomena. In this work, we consider twisting two triangular lattices hosting
Dirac quantum spin liquids. Using recent results for the monopole scaling
dimensions and quantum numbers of the Dirac spin liquid state, we show that, in
the bilayer system, interlayer monopole tunneling is a symmetry-allowed
relevant perturbation and can lead to ordered bilayer states. We analyze the
effect of this interlayer tunneling using a mean field theory in both the
weak-coupling and strong-coupling regimes. In particular, when the spin
monopoles can tunnel, we find a tunable lattice of magnetic vortices at strong
coupling.

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