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Signatures of Quantum Criticality in the Complex Inverse Temperature Plane |
| Yang Liu, Songtai Lv, Yang Yang, and Haiyuan Zou* |
| Key Laboratory of Polar Materials and Devices (MOE), School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China |
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| Cite this article: |
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Yang Liu, Songtai Lv, Yang Yang et al 2023 Chin. Phys. Lett. 40 050502 |
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Abstract Concepts of the complex partition functions and the Fisher zeros provide intrinsic statistical mechanisms for finite temperature and real time dynamical phase transitions. We extend the utility of these complexifications to quantum phase transitions. We exactly identify different Fisher zeros on lines or closed curves and elucidate their correspondence with domain-wall excitations or confined mesons for the one-dimensional transverse field Ising model. The crossover behavior of the Fisher zeros provides a fascinating picture for criticality near the quantum phase transition, where the excitation energy scales are quantitatively determined. We further confirm our results by tensor network calculations and demonstrate a clear signal of deconfined meson excitations from the disruption of the closed zero curves. Our results unambiguously show significant features of Fisher zeros for a quantum phase transition and open up a new route to explore quantum criticality.
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Received: 07 February 2023
Published: 18 April 2023
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| PACS: |
05.70.Jk
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(Critical point phenomena)
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05.10.Cc
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(Renormalization group methods)
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64.60.De
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(Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.))
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