Publications related to Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain

Lifshitz point at commensurate melting of chains of Rydberg atoms

The recent investigation of chains of Rydberg atoms has brought back the problem of commensurateincommensurate transitions into the focus of current research. In two-dimensional classical systems or in one-dimensional quantum systems, the commensurate melt ...

AMER PHYSICAL SOC2021

Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains

Frédéric Mila, Natalia Chepiga

Chains of Rydberg atoms have emerged as an amazing playground to study quantum physics in 1D. Playing with inter-atomic distances and laser detuning, one can in particular explore the commensurate-incommensurate transition out of density waves through the ...

NATURE RESEARCH2021

Critical values in an anisotropic percolation on $\mathbb{Z}^2$

Hao Xue

In this thesis, we consider an anisotropic finite-range bond percolation model on

\mathbb{Z}^2

. On each horizontal layer

\{(x,i):x\in\mathbb{Z}\}

for

i\in\mathbb{Z}

, we have edges

\langle(x,i),(y,i)\rangle

for

1\leq|x-y|\leq N

with $N\in\mathbb{N ...

EPFL2021

A direct link between active matter and sheared granular systems

Elisabeth Agoritsas

The similarity in mechanical properties of dense active matter and sheared amorphous solids has been noted in recent years without a rigorous examination of the underlying mechanism. We develop a mean-field model that predicts that their critical behavior— ...

2021

Floating, critical, and dimerized phases in a frustrated spin-3/2 chain

Frédéric Mila, Natalia Chepiga

We study spontaneous dimerization and emergent criticality in a spin-3/2 chain with antiferromagnetic nearestneighbor J(1), next-nearest-neighbor J(2), and three-site J(3) interactions. In the absence of three-site interaction J(3), we provide evidence tha ...

AMER PHYSICAL SOC2020

Carving out OPE space and precise O(2) model critical exponents

Alessandro Vichi, Ning Su

We develop new tools for isolating CFTs using the numerical bootstrap. A "cutting surface" algorithm for scanning OPE coefficients makes it possible to find islands in high-dimensional spaces. Together with recent progress in large-scale semidefinite progr ...

SPRINGER2020

Staggered flux state for rectangular-lattice spin-1/2 Heisenberg antiferromagnets

Henrik Moodysson Rønnow, Dmitri Ivanov, Bastien Dalla Piazza, Noore Elahi Shaik

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and instantaneous spin-spin correlat ...

AMER PHYSICAL SOC2020

First-order Neel to columnar valence bond solid transition in a model square-lattice S=1 antiferromagnet

Jonathan D'Emidio

We study the Neel to fourfold columnar valence bond solid (cVBS) quantum phase transition in a sign-free S = 1 square-lattice model. This is the same kind of transition that for S = 1/2 has been argued to realize the prototypical deconfined critical point. ...

AMER PHYSICAL SOC2020

A functional approach to the numerical conformal bootstrap

Bernardo Zan

We apply recently constructed functional bases to the numerical conformal bootstrap for 1D CFTs. We argue and show that numerical results in this basis converge much faster than the traditional derivative basis. In particular, truncations of the crossing e ...

SPRINGER2020

Concentration of Multi-overlaps for Random Dilute Ferromagnetic Spin Models

Nicolas Macris, Jean François Emmanuel Barbier, Chun Lam Chan

We consider mean field ferromagnetic spin models on dilute random graphs and prove that, with suitable one-body infinitesimal perturbations added to the Hamiltonian, the multi-overlaps concentrate for all temperatures, both with respect to the thermal Gibb ...

SPRINGER2020

Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain

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Lifshitz point at commensurate melting of chains of Rydberg atoms

Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains

Critical values in an anisotropic percolation on $\mathbb{Z}^2$

A direct link between active matter and sheared granular systems

Floating, critical, and dimerized phases in a frustrated spin-3/2 chain

Carving out OPE space and precise O(2) model critical exponents

Staggered flux state for rectangular-lattice spin-1/2 Heisenberg antiferromagnets

First-order Neel to columnar valence bond solid transition in a model square-lattice S=1 antiferromagnet

A functional approach to the numerical conformal bootstrap

Concentration of Multi-overlaps for Random Dilute Ferromagnetic Spin Models

Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains

Lifshitz point at commensurate melting of chains of Rydberg atoms

Critical values in an anisotropic percolation on $\mathbb{Z}^2$

A direct link between active matter and sheared granular systems

Staggered flux state for rectangular-lattice spin-1/2 Heisenberg antiferromagnets

A functional approach to the numerical conformal bootstrap

Carving out OPE space and precise O(2) model critical exponents

Floating, critical, and dimerized phases in a frustrated spin-3/2 chain

First-order Neel to columnar valence bond solid transition in a model square-lattice S=1 antiferromagnet

Concentration of Multi-overlaps for Random Dilute Ferromagnetic Spin Models