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Universal Order Parameters and Quantum Phase Transitions: A Finite-Size Approach

Shi, Qian-Qian; Zhou, Huan-Qiang; Batchelor, Murray


We propose a method to construct universal order parameters for quantum phase transitions in many-body lattice systems. The method exploits the H-orthogonality of a few near-degenerate lowest states of the Hamiltonian describing a given finite-size system, which makes it possible to perform finite-size scaling and take full advantage of currently available numerical algorithms. An explicit connection is established between the fidelity per site between two H-orthogonal states and the energy gap...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Scientific Reports
DOI: 10.1038/srep07673
Access Rights: Open Access


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