A Model Quantum Spin Ice: Phase Diagram Construction for Quantum Spin Ice Under the Transverse Ising Model with Exact Diagonalization and Numerical Linked Cluster Methods

In this poster, we present calculations of properties at $T=0$ of the quantum spin ice checkerboard lattice under the Transverse Ising model using Exact Diagonalization (ED) Numerical-Linked Cluster (NLC) methods up to order six. We use Exact Diagonalization methods to calculate properties for the finite system ($4\times 4$ lattice) and a combination of ED and NLC methods to approximate them for an infinite quantum spin ice lattice. Our results reproduce the expected behavior of the lattice for the magnetization $M$, the entanglement entropy $S_E$, the N\'eel state order parameter $S_{\pi, \pi}$, the susceptibility $\chi_F$, and the fidelity susceptibility $\chi_F$ at different values of the applied magnetic field, $h$, and the ratio of the far and near neighbors bond strength, $J_2/J_1$. We additionally calculate the system's self-consistent x-direction magnetization to estimate the critical field value $h_c$ at which a second order phase transition occurs. Ongoing work will extend this analysis and construct a complete phase diagram for the system using these methods.