2008/08/20 by Simon Hands, Costas Strouthos
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Coulomb #Coupling constant #Critical exponent #Electron #Fermion #Graphene #Graphene research and applications #Mathematics #Monte Carlo method #Phase transition #Physics #Quantum #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum critical point #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Statistical physics #Statistics #cond-mat.mes-hall #cond-mat.str-el #hep-lat
paper · pdf · doi:10.1088/1742-6596/150/4/042191
published as J.Phys.Conf.Ser.150:042191,2009 · 4 pages, 3 figures, presented at the 25th international conference on Low Temperature Physics, 6-13 August 2008, Amsterdam
arxiv created 2008/08/20 · openalex publication_date 2009/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present results for the equation of state of a graphene-like model in an effort to understand the properties of its quantum phase transition. The N f fermion species interact through a three dimensional instantaneous Coulomb potential. Since there are no reliable analytical tools that work for all values of N f and the coupling constant g , we rely on Monte Carlo simulations to calculate the critical properties of the model near the phase transition. We consider the four-component formulation for the fermion fields, which arises naturally as the continuum limit of the staggered fermion construction in (2 + 1) dimensions. In the limit of infinitely strong Coulomb interaction, the system undergoes a quantum phase transition at a critical number of fermion species N fc ≈ 4.7. We also calculate the values of the critical exponents at the quantum phase transition.