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Phys Rev Lett. 2019 Apr 26;122(16):167001. doi: 10.1103/PhysRevLett.122.167001.

Pair Density Wave in the Doped t-J Model with Ring Exchange on a Triangular Lattice.

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Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China.
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.


In our previous work [Phys. Rev. Lett. 121, 046401 (2018)PRLTAO0031-900710.1103/PhysRevLett.121.046401], we found a quantum spin liquid phase with a spinon Fermi surface in the two dimensional spin-1/2 Heisenberg model with four-spin ring exchange on a triangular lattice. In this work we dope the spinon Fermi surface phase by studying the t-J model with four-spin ring exchange. We perform density matrix renormalization group calculations on four-leg cylinders of a triangular lattice and find that the dominant pair correlation function is that of a pair density wave; i.e., it is oscillatory while decaying with distance with a power law. The doping dependence of the period is studied. This is the first example where a pair density wave is the dominant pairing in a generic strongly interacting system where the pair density wave cannot be explained as a composite order and no special symmetry is required.

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