Flows of the order parameter of a two-dimensional Fermi system close to the quantum critical point

The research data are related to the article: "Generalized Hertz Action and Quantum Criticality of Two-Dimensional Fermi Systems". These data provide insights into the flow of bosonic parameters near a quantum critical point, forming the basis for the visualizations presented in the publication.PROJECTThe aim of the project was to establish the low-energy dynamics of a two-dimensional system of fermions coupled to a critical scalar bosonic field. The standard approach, known as Hertz-Millis theory, involves integrating out all fermionic degrees of freedom, which leads to singular vertex bosonic interactions. In this study, we demonstrate how to include a fermionic contribution to bosonic dynamics while avoiding singularities in the bosonic sector. Using the functional renormalization group method, we analyze the flow of bosonic parameters near the quantum critical point, comparing the traditional Hertz-Millis scenario with the new generalized Hertz action.FILES The following files contains a numpy array of lists of parameters used for Hertz-Millis and generalized Hertz action calculations respectively:crlistHM.npycrlistGen.npyThe following files contains numpy arrays with numerical data obtained from flow calculations:g 0.0000 l0 0.00 gamma 1.0.npyg 0.0000 l0 1.00 gamma 1.0.npyg 0.0100 l0 0.00 gamma 1.0.npyg 0.0100 l0 1.00 gamma 1.0.npyg 1.0000 l0 0.00 gamma 1.0.npyg 1.0000 l0 1.00 gamma 1.0.npyFor data specification read:readme.txtMETHODOLOGYThe flow were calculated using 'dormand_price' adaptive Runge-Kutta scheme with tolerance up to 10^(-12).The internal integrals (frequency and momenta) were calculated using Gauss Legendre quadratures. Integration domains were divided into several (up to 10) subdomains with 30-50 nodes each.The initial condition for quantum critical point was found using bisection-type algorithm.