Publications by Frédéric Mila

Singularity with and without disorder at Affleck-Kennedy-Lieb-Tasaki points

The Affleck-Kennedy-Lieb-Tasaki (AKLT) point of the bilinear-biquadratic spin-1 chain is a cornerstone example of a disorder point where short-range correlations become incommensurate, and correlation lengths and momenta are nonanalytic. While the presence ...

American Physical Society (APS)2025

Weakly first-order melting of the 1/3 plateau in the Shastry-Sutherland model

Frédéric Mila, Samuel Louis Nyckees

We investigate the thermal properties of the 13 plateau in the Shastry-Sutherland model with infinite projected entangled-pair states by performing the imaginary-time evolution of the infinite-temperature density matrix. We show that both the Z2 and Z3 bro ...

2025

Bound states and deconfined spinons in the dynamical structure factor of the J1-J2 spin-1 chain

Henrik Moodysson Rønnow, Frédéric Mila, Mithilesh Nayak

Using a time-dependent density matrix renormalization group approach, we study the dynamical structure factor of the J1-J2 spin-1 chain. As J2 increases, the magnon mode develops incommensurability. The system undergoes a first-order transition at J2=0.76J ...

2025

Slow convergence of spin-wave expansion and magnon dispersion in the 1/3 plateau of the triangular XXZ antiferromagnet

Frédéric Mila

Motivated by recent experiments on the quantum magnet K2⁢Co⁢(SeO3)2, we study theoretically the excitation spectrum of the nearest-neighbor triangular XXZ model in the limit of strong easy-axis anisotropy, within the up-up-down (1/3-plateau) phase. We make ...

American Physical Society (APS)2025

Mott physics in the multiflavored age

Frédéric Mila

The multiflavor Mott insulators, whose local Hilbert space consists of multiple degrees of freedom, occur widely in both quantum materials and ultracold atom systems. This Comment recommends the review article by Chen and Wu that is, to the author's knowle ...

Nature Portfolio2024

Numerical investigation of the structure factors of the Read-Rezayi series

Frédéric Mila, Loïc Jean Pierre Herviou

We numerically investigate the guiding center structure factors of several states in the Read-Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization group on an infinite cylinder, we test a conjecture proposed in Can et ...

AMER PHYSICAL SOC2024

From RVB to supersolidity: the saga of the Ising-Heisenberg model on the triangular lattice

Frédéric Mila

Journal Club for Condensed Matter Physics2024

Field-induced bound-state condensation and spin-nematic phase in SrCu2(BO3)2 revealed by neutron scattering up to 25.9 T

Henrik Moodysson Rønnow, Frédéric Mila, Bruce Normand, Ellen Fogh, Jian Rui Soh, Mithilesh Nayak, Alexandra Angeline Turrini

In quantum magnetic materials, ordered phases induced by an applied magnetic field can be described as the Bose-Einstein condensation (BEC) of magnon excitations. In the strongly frustrated system SrCu2(BO3)(2), no clear magnon BEC could be observed, point ...

Nature Portfolio2024

Spin Waves and Three Dimensionality in the High-Pressure Antiferromagnetic Phase of SrCu2 (BO3)2

Henrik Moodysson Rønnow, Frédéric Mila, Bruce Normand, Ellen Fogh, Jian Rui Soh, Gaétan Charles Antoine Giriat

Quantum magnetic materials can provide explicit realizations of paradigm models in quantum many-body physics. In this context, SrCu2(BO3)2 is a faithful realization of the Shastry-Sutherland model for ideally frustrated spin dimers, even displaying several ...

2024

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