Giorgio Parisi
YOU?
Author Swipe
View article: Critical exponents of the spin-glass transition in a field at zero temperature
Critical exponents of the spin-glass transition in a field at zero temperature Open
We analyze the spin-glass transition in a field in finite dimension below the upper critical dimension directly at zero temperature using a recently introduced perturbative loop expansion around the Bethe lattice solution. The expansion …
View article: From Bjorken Scaling to Scaling Violations
From Bjorken Scaling to Scaling Violations Open
This paper traces the historical and conceptual journey from Bjorken scaling to the discovery of scaling violations in deep inelastic scattering, culminating in the development of Quantum Chromodynamics (QCD). Beginning with the challenges…
View article: Raoul Gatto and Bruno Touschek: the Rise of e+e− Physics
Raoul Gatto and Bruno Touschek: the Rise of e+e− Physics Open
The story of the collaboration between Raoul Gatto and Bruno Touschek,before during and after the construction of AdA, the first electron-positron collider builtat the Frascati National Laboratories in 1960, is only partially known. A brie…
View article: From Bjorken Scaling to Scaling Violations
From Bjorken Scaling to Scaling Violations Open
This paper traces the historical and conceptual journey from Bjorken scaling to the discovery of scaling violations in deep inelastic scattering, culminating in the development of Quantum Chromodynamics (QCD). Beginning with the challenges…
View article: Quantifying Memory in Spin Glasses
Quantifying Memory in Spin Glasses Open
Rejuvenation and memory, long considered the distinguishing features of spin glasses, have recently been proven to result from the growth of multiple length scales. This insight, enabled by simulations on the Janus II supercomputer, has op…
View article: Spin-glass dynamics: experiment, theory and simulation
Spin-glass dynamics: experiment, theory and simulation Open
The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost mac…
View article: Small field chaos in spin glasses: Universal predictions from the ultrametric tree and comparison with numerical simulations
Small field chaos in spin glasses: Universal predictions from the ultrametric tree and comparison with numerical simulations Open
Replica symmetry breaking (RSB) for spin glasses predicts that the equilibrium configuration at two different magnetic fields are maximally decorrelated. We show that this theory presents quantitative predictions for this chaotic behavior …
View article: Soft modes in vector spin glass models on sparse random graphs
Soft modes in vector spin glass models on sparse random graphs Open
We study numerically the Hessian of low-lying minima of vector spin glass models defined on random regular graphs. We consider the two-component (XY) and three-component (Heisenberg) spin glasses at zero temperature, subjected to the actio…
View article: Bethe M-layer construction on the Ising model
Bethe M-layer construction on the Ising model Open
In statistical physics, one of the standard methods to study second order phase transitions is the renormalization group that usually leads to an expansion around the corresponding fully connected solution. Unfortunately, often in disorder…
View article: Small field chaos in spin glasses: universal predictions from the ultrametric tree and comparison with numerical simulations
Small field chaos in spin glasses: universal predictions from the ultrametric tree and comparison with numerical simulations Open
We study the chaotic behavior of the Gibbs state of spin-glasses under the application of an external magnetic field, in the crossover region where the field intensity scales proportional to $1/\sqrt{N}$, being $N$ the system size. We show…
View article: Bethe $M$-layer construction on the Ising model
Bethe $M$-layer construction on the Ising model Open
In statistical physics, one of the standard methods to study second order phase transitions is the renormalization group that usually leads to an expansion around the corresponding fully connected solution. Unfortunately, often in disorder…
View article: The QISG suite: High-performance codes for studying quantum Ising spin glasses
The QISG suite: High-performance codes for studying quantum Ising spin glasses Open
We release a set of GPU programs for the study of the Quantum ($S=1/2$) Spin\nGlass on a square lattice, with binary couplings. The library contains two main\ncodes: MCQSG (that carries out Monte Carlo simulations using both the\nMetropoli…
View article: Multifractality in spin glasses
Multifractality in spin glasses Open
We unveil the multifractal behavior of Ising spin glasses in their low-temperature phase. Using the Janus II custom-built supercomputer, the spin-glass correlation function is studied locally. Dramatic fluctuations are found when pairs of …
View article: Multiscaling in the 3D critical site-diluted Ising ferromagnet
Multiscaling in the 3D critical site-diluted Ising ferromagnet Open
We study numerically the appearance of multiscaling behavior in the 3D ferromagnetic Ising site-diluted model, in the form of a multifractal distribution of the decay exponents for the spatial correlation functions at the critical temperat…
View article: Erratum: Numerical test of the replica-symmetric Hamiltonian for correlations of the critical state of spin glasses in a field [Phys. Rev. E <b>105</b>, 054106 (2022)]
Erratum: Numerical test of the replica-symmetric Hamiltonian for correlations of the critical state of spin glasses in a field [Phys. Rev. E <b>105</b>, 054106 (2022)] Open
This corrects the article DOI: 10.1103/PhysRevE.105.054106.
View article: Finite-size scaling of the random-field Ising model above the upper critical dimension
Finite-size scaling of the random-field Ising model above the upper critical dimension Open
Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of statistical physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In t…
View article: Multiscaling in the 3D critical site-diluted Ising ferromagnet
Multiscaling in the 3D critical site-diluted Ising ferromagnet Open
We have studied numerically the appearance of multiscaling behavior in the three-dimensional ferromagnetic Ising site diluted model, in the form of a multifractal distribution of the decay exponents for the spatial correlation functions at…
View article: Quantifying memory in spin glasses
Quantifying memory in spin glasses Open
Rejuvenation and memory, long considered the distinguishing features of spin glasses, have recently been proven to result from the growth of multiple length scales. This insight, enabled by simulations on the Janus~II supercomputer, has op…
View article: Superposition principle and nonlinear response in spin glasses
Superposition principle and nonlinear response in spin glasses Open
The extended principle of superposition has been a touchstone of spin-glass dynamics for almost 30 years. The Uppsala group has demonstrated its validity for the metallic spin glass, CuMn, for magnetic fields H up to 10 Oe at the reduced t…
View article: Multifractality in spin glasses
Multifractality in spin glasses Open
We unveil the multifractal behavior of Ising spin glasses in their low-temperature phase. Using the Janus II custom-built supercomputer, the spin-glass correlation function is studied locally. Dramatic fluctuations are found when pairs of …
View article: Universality class of the mode-locked glassy random laser
Universality class of the mode-locked glassy random laser Open
By means of enhanced Monte Carlo numerical simulations parallelized on GPUs we study the critical properties of the spin-glass-like model for the mode-locked glassy random laser, a 4 -spin model with complex spins with a global spherical…
View article: Quasicrystals: fragments of history and future outlooks
Quasicrystals: fragments of history and future outlooks Open
With this article, we briefly retrace the history of quasicrystals and introduce the Topical collection on “ Quasicrystals: State of the art and outlooks ”, consisting of a number of review articles published in the frame of a conference h…
View article: Nobel Lecture: Multiple equilibria
Nobel Lecture: Multiple equilibria Open
This is an extended version of my Nobel Lecture, delivered on December $8^{th}$ 2021. I will recall the genesis of the concept of multiple equilibria in natural sciences. I will then describe my contribution to the development of this conc…
View article: Spin Glass Theory and Far Beyond
Spin Glass Theory and Far Beyond Open
About sixty years ago, the anomalous magnetic response of certain magnetic alloys drew the attention of theoretical physicists. It soon became clear that understanding these systems, now called spin glasses, would give rise to a new branch…
View article: Science and Society
Science and Society Open
Here, I would like to briefly address some critical points in the relationship between science and society. Science must be considered part of the culture: this is important for decreasing the refusal of science. Science is fundamental for…