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A modern approach to critical phenomena

- I. Herbut
- Physics
- 2007

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… Expand

Four-loop critical exponents for the Gross-Neveu-Yukawa models

- N. Zerf, L. Mihaila, P. Marquard, I. Herbut, M. Scherer
- Physics
- 15 September 2017

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… Expand

Interactions and phase transitions on graphene's honeycomb lattice.

- I. Herbut
- Physics, MedicinePhysical review letters
- 7 June 2006

TLDR

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… Expand

Theory of interacting electrons on the honeycomb lattice

- I. Herbut, V. Juričić, Bitan Roy
- Physics
- 4 November 2008

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… Expand

Coulomb interaction, ripples, and the minimal conductivity of graphene.

- I. Herbut, V. Juričić, O. Vafek
- Physics, MedicinePhysical review letters
- 27 July 2007

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… Expand

Relativistic Mott criticality in graphene

- I. Herbut, V. Juričić, O. Vafek
- Physics
- 6 April 2009

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… Expand

Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems

- L. Mihaila, N. Zerf, Bernhard Ihrig, I. Herbut, M. Scherer
- Physics
- 26 March 2017

Dirac and Weyl fermions appear as quasiparticle excitations in many different condensed-matter systems. They display various quantum transitions which represent unconventional universality classes… Expand

Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach

- L. Janssen, I. Herbut
- Physics
- 25 February 2014

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… Expand

Permanent confinement in the compact QED3 with fermionic matter.

- I. Herbut, B. Seradjeh
- Physics, MedicinePhysical review letters
- 13 May 2003

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… Expand

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