2018/02/25 by Bin Qin, Defu Hou, Mei Huang +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Condensed matter physics #Critical dimension #Dimension (graph theory) #Flow (mathematics) #Functional renormalization group #Isotropy #Liquid crystal #Mathematical physics #Mathematics #Mechanics #Order (exchange) #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization group #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-ph
paper · pdf · doi:10.1103/physrevb.98.014102
published as Phys. Rev. B 98, 014102 (2018) · 8 pages, 8 figures in Revtex
arxiv created 2018/02/25 · openalex publication_date 2018/07/03 · arxiv updated 2018/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the nematic isotropic phase transition by applying the functional renormalization group to the Landau--de Gennes model. We derive the flow equations for the effective potential as well as the ``couplings'' constants and the anomalous dimension. We then solve the coupled flow equations on a grid using the Newton-Raphson method. A first-order phase transition is observed. We also investigate the nematic isotropic puzzle (the NI puzzle) in this paper. We obtain the NI transition temperature difference Tc\ensuremath-T*=5.85\phantom\rule4.pt0exK.