2000 character limit reached
Non-Linear Dynamics and Critical Phenomena in the Holographic Landscape of Weyl Semimetals (2405.06484v2)
Published 10 May 2024 in hep-th and cond-mat.str-el
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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