Publications related to 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

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

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

Bruce Normand

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

Eight-vertex criticality in the interacting Kitaev chain

Frédéric Mila, Natalia Chepiga

We show that including pairing and repulsion into the description of one-dimensional spinless fermions, as in the domain wall theory of commensurate melting or the interacting Kitaev chain, leads, for strong enough repulsion, to a line of critical points i ...

AMER PHYSICAL SOC2023

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

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

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

Broken-Symmetry Ground States of the Heisenberg Model on the Pyrochlore Lattice

Giuseppe Carleo, Ao Chen

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when only nearest-ne ...

AMER PHYSICAL SOC2021

Spin-1/2 kagome Heisenberg antiferromagnet with strong breathing anisotropy

Frédéric Mila, Seyed Saeed Soyouf Jahromi

We study the zero-temperature phase diagram of the spin-1/2 Heisenberg model with breathing anisotropy (i.e., with different coupling strength on the upward and downward triangles) on the kagome lattice. Our study relies on large scale tensor network simul ...

SCIPOST FOUNDATION2020

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

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

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

Graph Chatbot

Chat with Graph Search

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

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

Eight-vertex criticality in the interacting Kitaev chain

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

A quantum magnetic analogue to the critical point of water

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

Broken-Symmetry Ground States of the Heisenberg Model on the Pyrochlore Lattice

Spin-1/2 kagome Heisenberg antiferromagnet with strong breathing anisotropy

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

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

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

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

Eight-vertex criticality in the interacting Kitaev chain

A quantum magnetic analogue to the critical point of water

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

Spin-1/2 kagome Heisenberg antiferromagnet with strong breathing anisotropy

Broken-Symmetry Ground States of the Heisenberg Model on the Pyrochlore Lattice

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