RVB superconductors with fermionic projected entangled pair states

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) wavefunctions 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 w.r.t. $c$ for the frustrated $t-J_1-J_2$ model (including both nearest and next-nearest neighbor antiferromagnetic interactions $J_1$ and $J_2$, respectively) for $J_2\simeq J_1/2$ 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.

6 pages, 4 figures and Supplemental Material (3 pages, 2 figures). Updated version including new iPEPS results using full update optimization scheme, showing excellent agreement with RVB wave function

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Cited by in corpus (7)

• Advances on Tensor Network Theory: Symmetries, Fermions, Entanglement, and Holography
• Gauging quantum states: from global to local symmetries in many-body systems
• Tensor Networks for Lattice Gauge Theories with continuous groups
• Chiral projected entangled-pair state with topological order
• Systematic construction of spin liquids on the square lattice from tensor networks with SU(2) symmetry
• Resonating Valence Bond States with Trimer Motifs
• Striped critical spin liquid in a spin-orbital entangled RVB state in a projected entangled-pair state representation