From Complexification to Self-Similarity: New Aspects of Quantum Criticality

doi:10.1088/0256-307X/41/10/100501

Chin. Phys. Lett.

2024, Vol. 41

Issue (10): 100501 DOI: 10.1088/0256-307X/41/10/100501

GENERAL

From Complexification to Self-Similarity: New Aspects of Quantum Criticality

Yang Liu¹, Erhai Zhao^2*, and Haiyuan Zou^1*

¹Key Laboratory of Polar Materials and Devices (MOE), School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China
²Department of Physics and Astronomy, George Mason University, Fairfax, Virginia 22030, USA

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Yang Liu, Erhai Zhao, and Haiyuan Zou 2024 Chin. Phys. Lett. 41 100501

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Abstract Quantum phase transitions are a fascinating area of condensed matter physics. The extension through complexification not only broadens the scope of this field but also offers a new framework for understanding criticality and its statistical implications. This mini review provides a concise overview of recent developments in complexification, primarily covering finite temperature and equilibrium quantum phase transitions, as well as their connection with dynamical quantum phase transitions and non-Hermitian physics, with a particular focus on the significance of Fisher zeros. Starting from the newly discovered self-similarity phenomenon associated with complex partition functions, we further discuss research on self-similar systems briefly. Finally, we offer a perspective on these aspects.

Received: 01 July 2024 Review Published: 22 October 2024

PACS:

05.30.Rt

(Quantum phase transitions)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/41/10/100501 OR https://cpl.iphy.ac.cn/Y2024/V41/I10/100501

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