Generalized Lanczos method for systematic optimization of tensor network states<xref rid="cpb_27_7_070501fn1" ref-type="fn">*</xref><fn id="cpb_27_7_070501fn1"> <label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11190024 and 11474331).</p> </fn>

Generalized Lanczos method for systematic optimization of tensor network states* *

Project supported by the National Natural Science Foundation of China (Grant Nos. 11190024 and 11474331).

Huang Rui-Zhen^{1, 2}, Liao Hai-Jun¹, Liu Zhi-Yuan^{2, 3}, Xie Hai-Dong^{1, 2}, Xie Zhi-Yuan⁴, Zhao Hui-Hai^{5, 6, 7}, Chen Jing^{1, 2}, Xiang Tao^{1, 2, 8, †}

(color online) Ground-state energy E(n) versus n obtained using the PEPS-based Lanczos method for the Heisenberg model on the 10 × 10 lattice. The boundary MPS method is adopted to contract the PEPS. For the PEPS with D = 2 and 3, the number of states retained for the boundary MPS is 50 and 80, respectively. The results (horizontal lines) obtained from the full-update calculation of PEPS^[17] and the QMC^[16] are shown for comparison.