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

• URL: http://arxiv.org/abs/2501.09477v1
• Date: Thu, 16 Jan 2025 11:29:53 GMT
• Title: From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Abstract summary: Quantum phase transitions are a fascinating area of condensed matter physics.<n>The extension through complexification offers a new framework for understanding criticality and its statistical implications.<n>This mini review provides a concise overview of recent developments in complexification.
• Score: 5.044138778500218
• License: http://creativecommons.org/publicdomain/zero/1.0/
• 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.

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