Stability of Dirac Liquids with Strong Coulomb Interaction.

  title={Stability of Dirac Liquids with Strong Coulomb Interaction.},
  author={Igor S. Tupitsyn and Nikolay V. Prokof’ev},
  journal={Physical review letters},
  volume={118 2},
We develop and apply the diagrammatic Monte Carlo technique to address the problem of the stability of the Dirac liquid state (in a graphene-type system) against the strong long-range part of the Coulomb interaction. So far, all attempts to deal with this problem in the field-theoretical framework were limited either to perturbative or random phase approximation and functional renormalization group treatments, with diametrically opposite conclusions. Our calculations aim at the approximation… 

Figures from this paper

Interplay between the edge-state magnetism and long-range Coulomb interaction in zigzag graphene nanoribbons: quantum Monte Carlo study

We perform projective quantum Monte Carlo simulations of zigzag graphene nanoribbons within a realistic model with long-range Coulomb interactions. Increasing the relative strength of nonlocal

Interacting chiral electrons at the 2D Dirac points: a review

These studies linked to the nuclear magnetic resonance experiments and the associated model calculations in α-(BEDT-TTF)2I3 provide unique opportunities to resolve the momentum dependence of the spin excitations and fluctuations that are strongly influenced by the long-range interaction near the Dirac points.

Constrained random phase approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene

Recent experiments on twisted bilayer graphene show the urgent need for establishing a low-energy lattice model for the system. We use the constrained random phase approximation to study the

Topological quantum critical point in a triple-Weyl semimetal: Non-Fermi-liquid behavior and instabilities

We study the quantum critical phenomena emerging at the transition from triple-Weyl semimetal to band insulator, which is a topological phase transition described by the change of topological

High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series

We introduce a simple determinant diagrammatic Monte Carlo algorithm to compute the ground-state properties of a particle interacting with a Fermi sea through a zero-range interaction. The fermionic

Hydrodynamics of electrons in graphene

  • A. LucasK. Fong
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2018
A review of recent progress in understanding the hydrodynamic limit of electronic motion in graphene is presented, written for physicists from diverse communities with no prior knowledge of hydrodynamics.

Phase diagram topology of the Haldane-Hubbard-Coulomb model

We study the phase diagram of the interacting spin-$1/2$ Haldane model with chiral phase $\phi = \pi/2$ at half-filling. Both on-site and long-range Coulomb repulsive interactions

Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interactions

We study the excitonic semimetal-insulator quantum phase transition in a three-dimensional Dirac semimetal in which the fermion dispersion is strongly anisotropic. After solving the Dyson-Schwinger

Resummation of Diagrammatic Series with Zero Convergence Radius for Strongly Correlated Fermions.

It is demonstrated that a summing up series of Feynman diagrams can yield unbiased accurate results for strongly correlated fermions even when the convergence radius vanishes, and the theoretically conjectured fourth virial coefficient is reconciled.

Effects of energy extensivity on the quantum phases of long-range interacting systems

We investigate the ground state properties of one-dimensional hard-core bosons interacting via a variable long-range potential using the density matrix renormalization group. We demonstrate that




  • Rev. Lett. 111, 056801
  • 2013


  • Rev. Lett. 113, 105502
  • 2014


  • Rev. B 75, 235423
  • 2007


  • Rev. B 81, 125105
  • 2010


  • Rev. Lett. 80, 5409
  • 1998


  • Rev. B 59, R2474
  • 1999


  • Natl. Acad. Sci., 108, 11365
  • 2011


  • Rev. B 75, 121406(R)
  • 2007


  • Rev. Lett. 102, 026802 (2009); Phys. Rev. B 79, 241405
  • 2009


  • Rev. Lett. 106, 236805
  • 2011