Quantum criticality of the ferromagnetic Dicke-Ising model

• URL: http://arxiv.org/abs/2605.27484v2
• Date: Mon, 01 Jun 2026 15:37:20 GMT
• Title: Quantum criticality of the ferromagnetic Dicke-Ising model
• Abstract summary: We describe the quantum phase transitions in the ferromagnetic Dicke-Ising model using a Landau theory approach.<n>We identify virtual nearest-neighbor double spin-flip processes as the crucial mechanism responsible for this behavior.<n>Our results emphasize the need for adapted finite-size scaling forms in all-to-all interacting quantum systems.
• Score: 0.5151762045337086
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We describe the quantum phase transitions in the ferromagnetic Dicke-Ising model using a Landau theory approach. The theory quantitatively captures the change from a second- to a first-order transition between the normal and superradiant phases through a tricritical point. We identify virtual nearest-neighbor double spin-flip processes as the crucial mechanism responsible for this behavior. The tricritical point constitutes a quantum phase transition above the upper critical dimension. We discuss the modifications to finite-size scaling required for the correct interpretation of numerical data at the tricritical point. Our results emphasize the need for adapted finite-size scaling forms in all-to-all interacting quantum systems and establish the ferromagnetic Dicke-Ising model as a paradigmatic platform for quantum phase transitions above the upper critical dimension, encompassing both standard $φ^4$ criticality and beyond.

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