Publications related to Dimerization transitions in spin-1 chains

Field-controlled multicritical behavior and emergent universality in fully frustrated quantum magnets

Phase transitions in condensed matter are a source of exotic emergent properties. We study the fully frustrated bilayer Heisenberg antiferromagnet to demonstrate that an applied magnetic field creates a previously unknown emergent criticality. The quantum ...

Berlin2024

Primary and secondary order parameters in the fully frustrated transverse-field Ising model on the square lattice

Frédéric Mila

Using quantum Monte Carlo simulations and field-theory arguments, we study the fully frustrated transversefield Ising model on the square lattice for the purpose of quantitatively relating two different order parameters to each other. We consider a "primar ...

Amer Physical Soc2024

Thermal Ising Transition in the Spin-1/2 J(1)-J(2) Heisenberg Model

Frédéric Mila, Olivier Clément Romain Gauthé

Using an SU(2) invariant finite-temperature tensor network algorithm, we provide strong numerical evidence in favor of an Ising transition in the collinear phase of the spin-1/2 J(1)-J(2) Heisenberg model on the square lattice. In units of J(2), the critic ...

AMER PHYSICAL SOC2022

Level crossings and chiral transitions in transverse-field Ising models of adatom and Rydberg chains

Ivo Aguiar Maceira

This thesis is motivated by recent experiments on systems described by extensions of the one-dimensional transverse-field Ising (TFI) model where (1) finite-size properties of Ising-ordered phases -- specifically, ground state level crossings -- were obser ...

EPFL2022

Thermal critical points from competing singlet formations in fully frustrated bilayer antiferromagnets

Frédéric Mila, Antoine Yves Dimitri Fache

We examine the ground-state phase diagram and thermal phase transitions in a plaquettized fully frustrated bilayer spin-1/2 Heisenberg model. Based on a combined analysis from sign-problem free quantum Monte Carlo simulations, perturbation theory, and free ...

AMER PHYSICAL SOC2022

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 quantum magnetic analogue to the critical point of water

Henrik Moodysson Rønnow, Frédéric Mila, Bruce Normand, Ellen Fogh, Ludger Weber, Mohamed Zayed, Julio Antonio Larrea Jiménez, Kazimierz Conder

At the liquid-gas phase transition in water, the density has a discontinuity at atmospheric pressure; however, the line of these first-order transitions defined by increasing the applied pressure terminates at the critical point(1), a concept ubiquitous in ...

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

Infinitesimal asphericity changes the universality of the jamming transition

Matthieu Wyart, Carolina Brito Carvalho dos Santos

The jamming transition of non-spherical particles is fundamentally different from the spherical case. Non-spherical particles are hypostatic at their jamming points, while isostaticity is ensured in the case of the jamming of spherical particles. This stru ...

IOP PUBLISHING LTD2020

Dimerization transitions in spin-1 chains

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Field-controlled multicritical behavior and emergent universality in fully frustrated quantum magnets

Primary and secondary order parameters in the fully frustrated transverse-field Ising model on the square lattice

Thermal Ising Transition in the Spin-1/2 J(1)-J(2) Heisenberg Model

Level crossings and chiral transitions in transverse-field Ising models of adatom and Rydberg chains

Thermal critical points from competing singlet formations in fully frustrated bilayer antiferromagnets

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 quantum magnetic analogue to the critical point of water

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

Infinitesimal asphericity changes the universality of the jamming transition

Field-controlled multicritical behavior and emergent universality in fully frustrated quantum magnets

Primary and secondary order parameters in the fully frustrated transverse-field Ising model on the square lattice

A quantum magnetic analogue to the critical point of water

Level crossings and chiral transitions in transverse-field Ising models of adatom and Rydberg chains

Thermal critical points from competing singlet formations in fully frustrated bilayer antiferromagnets

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

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

Thermal Ising Transition in the Spin-1/2 J(1)-J(2) Heisenberg Model

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

Infinitesimal asphericity changes the universality of the jamming transition