Resonating-valence-bond superconductors with fermionic projected entangled pair states

Didier Poilblanc; Philippe Corboz; Norbert Schuch; J. Ignacio Cirac

doi:10.1103/PhysRevB.89.241106

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Resonating-valence-bond superconductors with fermionic projected entangled pair states

Didier Poilblanc, Philippe Corboz, Norbert Schuch, J. Ignacio Cirac

DOI 10.1103/PhysRevB.89.241106 · Physical Review B

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Abstract

We construct a family of simple fermionic projected entangled pair states (fPEPS) on the square lattice with bond dimension D=3 which are exactly hole-doped resonating valence bond (RVB) wave functions with short-range singlet bonds. Under doping the insulating RVB spin liquid evolves immediately into a superconductor with mixed d+is pairing symmetry whose pair amplitude grows as the square root of the doping. The relative weight between s-wave and d-wave components can be controlled by a single variational parameter c. We optimize our ansatz with respect to c for the frustrated t−J1−J2 model (including both nearest and next-nearest neighbor antiferromagnetic interactions J1 and J2, respectively) for J2≃J1/2 and obtain an energy very close to the infinite-PEPS state (using full update optimization and same bond dimension). The orbital symmetry of the optimized RVB superconductor has predominant d-wave character, although we argue a residual (complex s-wave) time reversal symmetry breaking component should always be present. Connections of the results to the physics of superconducting cuprates and pnictides are outlined.