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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.

Author information

1
Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China.
2
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Abstract

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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