64 citations · 193 across the 8 of their papers we have counts for
8 papers
A numerical study of the localization transition of Aubry-André type models
Balázs Hetényi, István Balogh
We use tools based on the modern theory of polarization for a numerical study of the localization transition of the Aubry-André model. In this model the spatial modulation of the p…
Scaling of the bulk polarization in extended and localized phases of a quasiperiodic model
Balázs Hetényi
We study the finite size scaling of the bulk polarization in a quasiperiodic (Aubry-André) model using the geometric analog of the Binder cumulant. As a proof of concept we show th…
Fluctuations, uncertainty relations, and the geometry of quantum state manifolds
Balázs Hetényi, Péter Lévay
The complete quantum metric of a parametrized quantum system has a real part (usually known as the Provost-Vallee metric) and a symplectic imaginary part (known as the Berry curvat…
Geometric cumulants associated with adiabatic cycles crossing degeneracy points: Application to finite size scaling of metal-insulator transitions in crystalline electronic systems
Balázs Hetényi, Sertaç Cengiz
In this work we focus on two questions. One, we complement the machinary to calculate geometric phases along adiabatic cycles as follows. The geometric phase is a line integral alo…
Scaling and renormalization in the modern theory of polarization: application to disordered systems
Balázs Hetényi, Selçuk Parlak, Mohammad Yahyavi
We develop a scaling theory and a renormalization technique in the context of the modern theory of polarization. The central idea is to use the characteristic function (also known…
Variational study of the interacting spinless Su-Schrieffer-Heeger model
Mohammad Yahyavi, Luqman Saleem, Balázs Hetényi
We study the phase diagram and the total polarization distribution of the Su-Schrieffer-Heeger model with nearest neighbor interaction in one dimension at half-filling. To obtain t…
Extended Creutz ladder with spin-orbit coupling: a one-dimensional analog of the Kane-Mele model
Sina Gholizadeh, Mohammad Yahyavi, Balázs Hetényi
We construct a topological ladder model, one-dimensional, following the steps which lead to the Kane-Mele model in two dimensions. Starting with a Creutz ladder we modify it so tha…
Topological insulation in a ladder model with particle-hole and reflection symmetries
Balázs Hetényi, Mohammad Yahyavi
A two-legged ladder model, one dimensional, exhibiting the parity anomaly is constructed. The model belongs to the and symmetry classes, depending on the parameters, but,…