56 citations · 203 across the 20 of their papers we have counts for
11 papers · 1 filter
The scaling limit of boundary spin correlations in non-integrable Ising models
Giulia Cava, Alessandro Giuliani, Rafael Leon Greenblatt
We consider a class of non-integrable 2D Ising models obtained by perturbing the nearest-neighbor model via a weak, finite range potential which preserves translation and spin-flip…
On the spin interface distribution for non-integrable variants of the two-dimensional Ising model
Rafael L. Greenblatt, Eveliina Peltola
We point out that the construction of a martingale observable describing the spin interface of the two-dimensional Ising model extends to a class of non-integrable variants of the…
Constructing a weakly-interacting fixed point of the Fermionic Polchinski equation
Rafael Leon Greenblatt
I rigorously prove the existence of a nontrivial fixed point of a family of continuous renormalization group flows corresponding to certain weakly interacting Fermionic quantum fie…
Adiabatic Evolution of Low-Temperature Many-Body Systems
Rafael L. Greenblatt, Markus Lange, Giovanna Marcelli +1
We consider finite-range, many-body fermionic lattice models and we study the evolution of their thermal equilibrium state after introducing a weak and slowly varying time-dependen…
The zeros of the partition function of the pinning model
Giambattista Giacomin, Rafael L. Greenblatt
We aim at understanding for which (complex) values of the potential the pinning partition function vanishes. The pinning model is a Gibbs measure based on discrete renewal processe…
Non-integrable Ising models in cylindrical geometry: Grassmann representation and infinite volume limit
Giovanni Antinucci, Alessandro Giuliani, Rafael L. Greenblatt
In this paper, meant as a companion to arXiv:2006.04458, we consider a class of non-integrable Ising models in cylindrical domains, and we discuss two key aspects of the multi…
Discrete and zeta-regularized determinants of the Laplacian on polygonal domains with Dirichlet boundary conditions
Rafael Leon Greenblatt
For a connected, open, bounded set whose boundary is a finite union of disjoint polygons whose vertices have integer coordinates, the logarithm of the discr…
Energy correlations of non-integrable Ising models: The scaling limit in the cylinder
Giovanni Antinucci, Alessandro Giuliani, Rafael Leon Greenblatt
We consider a class of non-integrable 2D Ising models, whose Hamiltonian, in addition to the nearest neighbor couplings, includes weak multi-spin interactions, even under spin flip…
Continuum limit of random matrix products in statistical mechanics of disordered systems
Francis Comets, Giambattista Giacomin, Rafael L. Greenblatt
We consider a particular weak disorder limit ("continuum limit") of matrix products that arise in the analysis of disordered statistical mechanics systems, with a particular focus…
Singular behavior of the leading Lyapunov exponent of a product of random matrices
Giuseppe Genovese, Giambattista Giacomin, Rafael Leon Greenblatt
We consider a certain infinite product of random matrices appearing in the solution of some and dimensional disordered models in statistical mechanics, which…
The scaling limit of the energy correlations in non integrable Ising models
Alessandro Giuliani, Rafael L. Greenblatt, Vieri Mastropietro
We obtain an explicit expression for the multipoint energy correlations of a non solvable two-dimensional Ising models with nearest neighbor ferromagnetic interactions plus a weak…