2017/08/31 by Benjamin Knorr · 2 citations
Mathematics · Physics and Astronomy · #Fixed point #Heisenberg model #Lattice (music) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematical physics #Mathematics #Monte Carlo method #Physics #Quantum many-body systems #Quantum mechanics #Renormalization group #Statistical physics #Theoretical and Computational Physics #Theoretical physics #Truncation (statistics) #Universality (dynamical systems) #cond-mat.mes-hall #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevb.97.075129
published as Phys. Rev. B 97, 075129 (2018) · 10 pages, 5 figures; v2: matches journal version
openalex created_date 2017/08/31 · openalex publication_date 2018/02/14 · arxiv created 2018/11/14 · arxiv updated 2018/11/15 · openalex updated_date 2026/08/06
The critical properties of the spin-density-wave/semimetal phase transition in Dirac materials are still under debate despite all the efforts from continuum and lattice methods. Using state-of-the-art functional renormalization group methods, the author provides improved estimates of the leading critical exponents. They are in line with earlier results obtained with the same method and in disagreement with recent quantum Monte Carlo estimates. The study supports the conjecture the only adequate nonperturbative treatment of the different universality classes, related to this phase transition, is via the functional renormalization group.