150 citations · 518 across the 44 of their papers we have counts for
44 papers
Spectral Dirac graphs
Corneliu Sochichiu
We address the problem of identifying families of discrete models naturally flowing in continuum limit to relativistic quantum field theories. We call them Dirac graphs. In this wo…
Action-angle variables in curved space-time
Jaehun Lee, Corneliu Sochichiu
We construct a relativistic and curved space version of action- angle variables for a particle trapped in a gravity and electromagnetic background with time-like isometry. As an ex…
Four-dimensional gauge and gravity models from texture graphs
Corneliu Sochichiu
We study statistical graph models leading in continuum limit to relativistic fermionic fields coupled to gravity and gauge fields in four-dimensional space-time.
Dirac lattice
Corneliu Sochichiu
We study the emergence of Dirac fermionic field in the low energy description of non-relativistic dynamical models on graphs admitting continuum limit. The Dirac fermionic field ap…
On the defect induced gauge and Yukawa fields in graphene
Corneliu Sochichiu
We consider lattice deformations (both continuous and topological) in the hexagonal lattice Hubbard model in the tight binding approximation to graphene, involving operators with t…
Landau problem for bilayer graphene: Exact results
Young-Hwan Hyun, Yoonbai Kim, Corneliu Sochichiu +1
We consider graphene bilayer in a constant magnetic field of arbitrary orientation (i.e. tilted with respect to the graphene plane). In the low energy approximation to tight bindin…