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Effect of geometry structure on critical properties
Affiliation:1. Faculty of Psychology, Southwest University, Chongqing, China;2. Key Laboratory of Cognition and Personality, Ministry of Education, Chongqing, China;3. Experimental Research Center for Medical and Psychological Science (ERC‑MPS), School of Psychology, Third Military Medical University, Chongqing, China
Abstract:The effective-field renormalization group (EFRG) scheme is utilized to compute critical properties of the transverse Ising model (TIM) in a quantum-spin system. We distinguish differences between lattices of the same coordination number but of different structures and take effects of the first fluctuation correction into account. The improved results for the critical transverse field are obtained for several lattice structures even by considering the smallest possible cluster, which is in good agreement with series results.
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