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A modern approach to critical phenomena
Preface 1. Introduction 2. Ginzburg-Landau-Wilson theory 3. Renormalization group 4. Superconducting transition 5. Near lower critical dimension 6. Kosterlitz-Thouless transition 7. Duality in higher
Four-loop critical exponents for the Gross-Neveu-Yukawa models
We study the chiral Ising, the chiral XY and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in $4-\epsilon$ dimensions and compute critical exponents for
Interactions and phase transitions on graphene's honeycomb lattice.
  • I. Herbut
  • Physics, Medicine
    Physical review letters
  • 7 June 2006
The Hubbard model in the large-N limit is shown to have a semimetal-antiferromagnetic insulator quantum critical point in the universality class of the Gross-Neveu model, and its consequences for various physical quantities are examined.
Pinning the Order: The Nature of Quantum Criticality in the Hubbard Model on Honeycomb Lattice
A new algorithm of quantum Monte Carlo simulations designed to detect very weak magnetic order allows high-resolution studies of the correlation between magnetic order and electrical insulation in
Theory of interacting electrons on the honeycomb lattice
The low-energy theory of electrons interacting via repulsive short-range interactions on graphene's honeycomb lattice at half filling is presented. The exact symmetry of the Lagrangian with local
Coulomb interaction, ripples, and the minimal conductivity of graphene.
We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect
Relativistic Mott criticality in graphene
We formulate the effective Gross-Neveu-Yukawa theory of the semimetal-insulator transitions on the honeycomb lattice and compute its quantum critical behavior near three (spatial) dimensions. We find
Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
Dirac and Weyl fermions appear as quasiparticle excitations in many different condensed-matter systems. They display various quantum transitions which represent unconventional universality classes
Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach
Electrons on the half-filled honeycomb lattice are expected to undergo a direct continuous transition from the semimetallic into the antiferromagnetic insulating phase with increase of on-site
Permanent confinement in the compact QED3 with fermionic matter.
We argue that the compact three dimensional electrodynamics with massless relativistic fermions is always in the confined phase, in spite of the bare interaction between the magnetic monopoles being