Vladimir Juricic

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 of the disorder due to wrinkling of the graphene sheet and the long-range electron-electron interactions is a finite positive contribution to the dc conductivity. This contribution is disorder strength dependent and thus nonuniversal. The low-energy behavior of such a system is governed by the line of fixed points at which both the interaction and disorder are finite, and the density of states is exactly linear. An estimate of the typical random vector potential representing ripples in graphene brings the theoretical value of the minimal conductivity into the vicinity of 4e2/h.

The space group classification of topological band-insulators

Topological insulators are now shown to be protected not only by time-reversal symmetry, but also by crystal lattice symmetry. By accounting for the crystalline symmetries, additional topological insulators can be predicted.

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 that at the critical point Dirac fermions do not survive as coherent excitations and that the

Coulomb interaction at the metal-insulator critical point in graphene

\ensuremath{\sim}1/r

Restoration of the Magnetic hc=e-Periodicity in Unconventional Superconductors

tail of the weak Coulomb interaction is an irrelevant coupling. The emergent Lorentz invariance near criticality implies a universal ratio of the low-temperature specific heats of the metallic and the rotational-symmetry-broken insulating phase.

Universal probes of two-dimensional topological insulators: dislocation and π flux.

We compute the renormalization-group flow of the long-ranged electron-electron interaction at the Gross-Neveu quantum critical point between the semimetal and the excitonic insulator in graphene, perturbatively in the small parameter

Quantum superconducting criticality in graphene and topological insulators

ϵ=d\ensuremath{-}1

Universal optical conductivity of a disordered Weyl semimetal.

, with

Emergent Lorentz symmetry near fermionic quantum critical points in two and three dimensions

d

Interacting Weyl fermions: Phases, phase transitions, and global phase diagram

as the spatial dimension. The