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arXiv · 2405.06484

Non-Linear Dynamics and Critical Phenomena in the Holographic Landscape of Weyl Semimetals

Masataka Matsumoto·Mirmani Mirjalali·Ali Vahedi
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Abstract

This study presents a detailed analysis of critical phenomena in a holographic Weyl semi-metal (WSM) using the $D3/D7$ brane configuration. The research explores the non-linear response of the longitudinal current \( J \) when subjected to an external electric field \( E \) at both zero and finite temperatures. At zero temperature, the study identifies a potential quantum phase transition in the \( J \)-\( E \) relationship, driven by background parameters the particle mass, and axial gauge potential. This transition is characterized by a unique reconnection phenomenon resulting from the interplay between WSM-like and conventional nonlinear conducting behaviors, indicating a quantum phase transition. Additionally, at non-zero temperature with dissipation, the system demonstrates first- and second-order phase transitions as the electric field and axial gauge potential are varied. The longitudinal conductivity is used as an order parameter to identify the current-driven phase transition. Numerical analysis reveals critical exponents in this non-equilibrium phase transition that show similarities to mean-field values observed in metallic systems.

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Masataka Matsumoto, Mirmani Mirjalali, Ali Vahedi. 2024-05-10. Non-Linear Dynamics and Critical Phenomena in the Holographic Landscape of Weyl Semimetals. https://arxiv.org/abs/2405.06484

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