Density Matrix Renormalization Group (DMRG) on Two-Dimensional Quantum Spin Liquids In A Kagome Lattice

Materials like pyrochlore and herbertsmithite have shown promising evidence of spin liquid behavior in neutron scattering experiments motivating the study of quantum spin liquids on the two dimensional kagome lattice. There are multiple different spin-liquids on the kagome lattice that can be constructed from different Hamiltonians. The question remains of whether these spin liquids are all connected via the same phase or is there a phase transition no matter what the path. Answering this question will allow us to contribute to the identity of the S= 1/2 kagome Heisenberg antiferromagnet spin liquid as well as discovering Hamiltonians that support spin liquids. Using DMRG and the calculation of useful observables we mapped out a phase diagram of different spin liquids.