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Bounded Luttinger liquids as a universality class of quantum critical behavior

Publications associées (53)

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The Scaling Limit Of Critical Ising Interfaces Is Cle3

Clément Hongler

In this paper, we consider the set of interfaces between + and - spins arising for the critical planar Ising model on a domain with + boundary conditions, and show that it converges to nested CLE3. Our proof relies on the study of the coupling between the ...

INST MATHEMATICAL STATISTICS2019

Quantum Critical Regime in a Quadratically Driven Nonlinear Photonic Lattice

Vincenzo Savona, Fabrizio Minganti, Riccardo Rota, Cristiano Ciuti

We study an array of coupled optical cavities in the presence of two-photon driving and dissipation. The system displays a critical behavior similar to that of a quantum Ising model at finite temperature. Using the corner-space renormalization method, we c ...

AMER PHYSICAL SOC2019

Asymptotic Freedom and Large Spin Antiferromagnetic Chains

Frédéric Mila, Samuel Gozel

Building on the mapping of large-S spin chains onto the O(3) nonlinear sigma model with coupling constant 2/S, and on general properties of that model (asymptotic freedom, implying that perturbation theory is valid at high energy, and Elitzur's conjecture ...

AMER PHYSICAL SOC2019

Universality of jamming of nonspherical particles

Matthieu Wyart, Carolina Brito Carvalho dos Santos

Amorphous packings of nonspherical particles such as ellipsoids and spherocylinders are known to be hypostatic: The number of mechanical contacts between particles is smaller than the number of degrees of freedom, thus violating Maxwell's mechanical stabil ...

NATL ACAD SCIENCES2018

Dimerization and exotic criticality in spin-S chains

Natalia Chepiga

In this thesis we have studied the emergence of spontaneously dimerized phases in frustrated spin-S chains, with emphasis on the nature of the critical lines between the dimerized and non-dimerized phases. The main numerical method used in this thesis is t ...

EPFL2017

Condensation of fermion pairs in a domain

Marius Christopher Lemm

We consider a gas of fermions at zero temperature and low density, interacting via a microscopic two-body potential which admits a bound state. The particles are confined to a domain with Dirichlet boundary conditions. Starting from the microscopic BCS the ...

2017

Non-gaussianity of the critical 3d Ising model

Bernardo Zan

We discuss the 4pt function of the critical 3d Ising model, extracted from recent conformal bootstrap results. We focus on the non-gaussianity Q - the ratio of the 4pt function to its gaussian part given by three Wick contractions. This ratio reveals signi ...

2017

Crossing Probabilities in Topological Rectangles for the Critical Planar FK-Ising model

Clément Hongler

We consider the FK-Ising model in two dimensions at criticality. We obtain bounds on crossing probabilities of arbitrary topological rectangles, uniform with respect to the boundary conditions, generalizing results of [DCHN11] and [CS12]. Our result relies ...

Institute of Mathematical Statistics2016

Vector-Based 3D Graphic Statics (Part I): Evaluation of Global Equilibrium

Corentin Jean Dominique Fivet, Pierluigi D'Acunto

The evaluation of the equilibrium of a system of forces that fulfils specified boundary conditions is a core question of theory of structures. This paper reviews three methods, related to procedures introduced at the end of the 19th century, to evaluate th ...

IASS2016

Small, fast, and tough: Shrinking down integrated elastomer transducers

Herbert Shea, Samuel Rosset

We review recent progress in miniaturized dielectric elastomer actuators (DEAs), sensors, and energy harvesters. We focus primarily on configurations where the large strain, high compliance, stretchability, and high level of integration offered by dielectr ...

Amer Inst Physics2016