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arXiv · 1601.00958

Chiral spin liquids in triangular lattice SU(N) fermionic Mott insulators with artificial gauge fields

Pierre Nataf·Miklós Lajkó·Alexander Wietek·Karlo Penc·Frédéric Mila·Andreas M. Läuchli
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Abstract

We show that, in the presence of a $π/2$ artificial gauge field per plaquette, Mott insulating phases of ultra-cold fermions with $SU(N)$ symmetry and one particle per site generically possess an extended chiral phase with intrinsic topological order characterized by a multiplet of $N$ low-lying singlet excitations for periodic boundary conditions, and by chiral edge states described by the $SU(N)_1$ Wess-Zumino-Novikov-Witten conformal field theory for open boundary conditions. This has been achieved by extensive exact diagonalizations for $N$ between $3$ and $9$, and by a parton construction based on a set of $N$ Gutzwiller projected fermionic wave-functions with flux $π/N$ per triangular plaquette. Experimental implications are briefly discussed.

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Pierre Nataf, Miklós Lajkó, Alexander Wietek, Karlo Penc, Frédéric Mila, Andreas M. Läuchli. 2016-01-05. Chiral spin liquids in triangular lattice SU(N) fermionic Mott insulators with artificial gauge fields. https://doi.org/10.1103/physrevlett.117.167202

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