Publications related to Spin-liquid behaviour and the interplay between Pokrovsky-Talapov and Ising criticality in the distorted, triangular-lattice, dipolar Ising antiferromagnet

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

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 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

Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure

Clément Hongler

Critical statistical mechanics and Conformal Field Theory (CFT) are conjecturally connected since the seminal work of Beliavin et al. (Nucl Phys B 241(2):333-380, 1984). Both exhibit exactly solvable structures in two dimensions. A long-standing question ( ...

SPRINGER2022

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

Conformal and chiral phase transitions in Rydberg chains

Frédéric Mila, Natalia Chepiga, Ivo Aguiar Maceira

Using density matrix renormalization group simulations on open chains, we map out the wave vector in the incommensurate disordered phase of a realistic model of Rydberg chains with 1/r6 interactions, and we locate and characterize the points along the comm ...

AMER PHYSICAL SOC2022

Classical Spin Liquid or Extended Critical Range in h-YMnO3?

Jakob Lass, Sofie Janas

Neutron spectroscopy on the classical triangular-lattice frustrated antiferromagnet h-YMnO3 reveals diffuse, gapless magnetic excitations present both far below and above the ordering temperature. The correlation length of the excitations increases as the ...

AMER PHYSICAL SOC2021

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

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

Spin-liquid behaviour and the interplay between Pokrovsky-Talapov and Ising criticality in the distorted, triangular-lattice, dipolar Ising antiferromagnet

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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

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

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

Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure

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

Conformal and chiral phase transitions in Rydberg chains

Classical Spin Liquid or Extended Critical Range in h-YMnO3?

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

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

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

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

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

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

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

Classical Spin Liquid or Extended Critical Range in h-YMnO3?

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

Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure

Conformal and chiral phase transitions in Rydberg chains

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