49 citations · 383 across the 49 of their papers we have counts for
57 papers
Asymptotic quasi--local structure induced by Magnetic field
Giuseppe De Nittis
We introduce a magnetic coherent--state frame over the Landau levels of the two--dimensional Landau Hamiltonian, indexed by a discrete metric space combining spatial and energy deg…
A scheme for topological phases of the Weyl -algebra
Giuseppe De Nittis, Santiago G. Rendel
In this work, we introduce a classification scheme for topological phases of matter based on the topology of the space of pure states of a model -algebra. Under it, topologica…
Higher Abelian Quantum Double Models
Jorge Acuña Flores, Giuseppe De Nittis, Javier Lorca Espiro
This paper develops a rigorous -algebraic framework for higher abelian quantum double models, generalizing Kitaev's construction to simplicial complexes of arbitrary finite di…
Hilbert Grassmannians as classifying spaces
Giuseppe De Nittis, Kiyonori Gomi, Santiago G. Rendel
In this short work we prove that the Hilbert Grassmannians endowed with the weak topology are models for the classifying spaces of the unitary groups. As application of this result…
On the K-theory of magnetic algebras: Iwatsuka case
Giuseppe De Nittis, Jaime Gomez, Danilo Polo Ojito
In the tight-binding approximation, an Iwatsuka magnetic field is modeled by a function on with constant, but distinct values in the two parts of the lattice separat…
Lieb-Robinson bounds in the continuum via localized frames
Sven Bachmann, Giuseppe De Nittis
We study the dynamics of interacting fermions in the continuum. Our approach uses the concept of lattice-localized frames, which we introduce here. We first prove a Lieb-Robinson b…
Dixmier trace and the DOS of perturbed magnetic operators
Fabian Belmonte, Giuseppe De Nittis
The main goal of this work is to provide a description of the {trace per unit volume} in terms of the {Dixmier trace} (regularized by the resolvent of the harmonic oscillator) for…
About the notion of eigenstates for -algebras and some application in Quantum Mechanics
Giuseppe De Nittis, Danilo Polo
This work is concerned with the notion of {eigenstates} for -algebras. After reviewing some basic and structural results, we explore the possibility of reinterpreting certain…
A new light on the FKMM invariant and its consequences
Giuseppe De Nittis, Kiyonori Gomi
"Quaternionic" vector bundles are the objects which describe the topological phases of quantum systems subjected to an odd time-reversal symmetry (class AII). In this work we prove…
Topological polarization in disordered systems
Giuseppe De Nittis, Danilo Polo
Deformations in piezoelectric materials lead to conduction effects, which are due to two contributions: the relative displacements of the ionic cores, and the so-called orbital pol…
A Magnetic Pseudodifferential Calculus for Operator-Valued and Equivariant Operator-Valued Symbols
Giuseppe De Nittis, Max Lein, Marcello Seri
In this monograph we develop magnetic pseudodifferential theory for operator-valued and equivariant operator-valued functions and distributions from first principles. These have fo…
Dixmier trace and the DOS of magnetic operators
Fabian Belmonte, Giuseppe De Nittis
The main goal of this work is to provide two new formulas for the computation of the trace per unit volume, and consequently the integrated density of states (IDOS), for magnetic o…
The noncommutative geometry of the Landau Hamiltonian: Differential aspects
Giuseppe De Nittis, Maximiliano Sandoval
In this work we study the differential aspects of the noncommutative geometry for the magnetic -algebra which is a 2-cocycle deformation of the group -algebra of $\mathbb…
The cohomology invariant for class DIII topological insulators
Giuseppe De Nittis, Kiyonori Gomi
This work concerns with the description of the topological phases of band insulators of class DIII by using the equivariant cohomology. The main result is the definition of a cohom…
Perturbation Theory for the Thermal Hamiltonian: 1D Case
Giuseppe De Nittis, Vicente Lenz
This work continues the study of the thermal Hamiltonian, initially proposed by J. M. Luttinger in 1964 as a model for the conduction of thermal currents in solids. The previous wo…
The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects
Giuseppe De Nittis, Maximiliano Sandoval
This work provides a first step towards the construction of a noncommutative geometry for the quantum Hall effect in the continuum. Taking inspiration from the ideas developed by B…
Spectral Theory of the Thermal Hamiltonian: 1D Case
Giuseppe De Nittis, Vicente Lenz
In 1964 J. M. Luttinger introduced a model for the quantum thermal transport. In this paper we study the spectral theory of the Hamiltonian operator associated to the Luttinger's m…
The Geometry of (non-Abelian) Landau levels
Giuseppe De Nittis, Kyonori Gomi, Massimo Moscolari
The purpose of this paper is threefold: First of all the topological aspects of the Landau Hamiltonian are reviewed in the light (and with the jargon) of theory of topological insu…
Spectral and scattering theory of one-dimensional coupled photonic crystals
Giuseppe De Nittis, Massimo Moscolari, Serge Richard +1
We study the spectral and scattering theory of light transmission in a system consisting of two asymptotically periodic waveguides, also known as one-dimensional photonic crystals,…
Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case
Giuseppe De Nittis, Kiyonori Gomi
This paper is devoted to the construction of differential geometric invariants for the classification of "Quaternionic" vector bundles. Provided that the base space is a smooth man…
Computing the Strategy to Commit to in Polymatrix Games (Extended Version)
Giuseppe De Nittis, Alberto Marchesi, Nicola Gatti
Leadership games provide a powerful paradigm to model many real-world settings. Most literature focuses on games with a single follower who acts optimistically, breaking ties in fa…
How to Maximize the Spread of Social Influence: A Survey
Giuseppe De Nittis, Nicola Gatti
This survey presents the main results achieved for the influence maximization problem in social networks. This problem is well studied in the literature and, thanks to its recent a…
Facing Multiple Attacks in Adversarial Patrolling Games with Alarmed Targets
Giuseppe De Nittis, Nicola Gatti
We focus on adversarial patrolling games on arbitrary graphs, where the Defender can control a mobile resource, the targets are alarmed by an alarm system, and the Attacker can obs…
On the K-theoretic classification of dynamically stable systems
Giuseppe De Nittis, Kiyonori Gomi
This paper deals with the construction of a suitable topological -theory capable of classifying topological phases of dynamically stable systems described by gapped -self-adj…