Topological Z(2) resonating-valence-bond quantum spin liquid on the ruby lattice

Article

关键词: MATRIX PRODUCT STATES;    GROUND-STATE;    SUPERCONDUCTIVITY;   

DOI  :  10.1103/PhysRevB.101.115114

来源: SCIE

【 摘 要 】

We construct a short-range resonating-valence-bond (RVB) state on the ruby lattice, using projected entangled-pair states with bond dimension D = 3. By introducing nonlocal moves to the dimer patterns on the torus, we distinguish four distinct sectors in the space of dimer coverings, which is a signature of the topological nature of the RVB wave function. Furthermore, by calculating the reduced density matrix of a bipartition of the RVB state on an infinite cylinder and exploring its entanglement entropy, we confirm the topological nature of the RVB wave function by obtaining a nonzero topological contribution, gamma = -ln 2, consistent with that of a Z(2) topological quantum spin liquid. We also calculate the ground-state energy of the spin-1/2 antiferromagnetic Heisenberg model on the ruby lattice and compare it with the RVB energy. Finally, we construct a quantum dimer model for the ruby lattice and discuss it as a possible parent Hamiltonian for the RVB wave function.

【 授权许可】

Free