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

Frédéric Mila, Henrik Moodysson Rønnow, 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

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

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

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

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

Critical properties of the quantum Ashkin-Teller chain with chiral perturbations

Frédéric Mila, Natalia Chepiga

We investigate the nature of the phase transitions in the quantum Ashkin-Teller chain in the presence of chiral perturbations. We locate the Lifshitz line separating a region of direct chiral transitions from the region where the transition is through an i ...

Amer Physical Soc2023

Understanding unconventional magnetic order in a candidate axion insulator by resonant elastic x-ray scattering

Frédéric Mila, Henrik Moodysson Rønnow, Jian Rui Soh

Magnetic topological insulators and semimetals are a class of crystalline solids whose properties are strongly influenced by the coupling between non-trivial electronic topology and magnetic spin configurations. Such materials can host exotic electromagnet ...

Nature Portfolio2023

Emergent U(1) symmetry in non-particle-conserving one-dimensional models

Frédéric Mila, Natalia Chepiga, Mohamed Zakaria Jouini, Loïc Jean Pierre Herviou

The properties of stable Luttinger liquid phases in models with a nonconserved number of particles are investigated. We study the Luttinger liquid phases in one-dimensional models of hard-core boson and spinless fermion chains where particles can be create ...

Amer Physical Soc2023

Emergence of Classical Magnetic Order from Anderson Towers: Quantum Darwinism in Action

Frédéric Mila

Environment is assumed to play a negative role in quantum mechanics, destroying the coherence in a quantum system and, thus, randomly changing its state. However, for a quantum system that is initially in a degenerate ground state, the situation could be d ...

American Physical Society2023

Possible restoration of particle-hole symmetry in the 5/2-quantized Hall state at small magnetic field

Frédéric Mila, Loïc Jean Pierre Herviou

Motivated by the experimental observation of a quantized 5/2 thermal conductance at filling nu = 5/2, a result incompatible with both the Pfaffian and the anti-Pfaffian states, we have pushed the expansion of the effective Hamiltonian of the 5/2-quantized ...

AMER PHYSICAL SOC2023

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

Critical line of the triangular Ising antiferromagnet in a field from a C3-symmetric corner transfer matrix algorithm

Frédéric Mila, Jeanne Colbois, Samuel Louis Nyckees, Afonso Dos Santos Rufino

The corner transfer matrix renormalization group (CTMRG) algorithm has been extensively used to investigate both classical and quantum two-dimensional (2D) lattice models. The convergence of the algorithm can strongly vary from model to model depending on ...

Amer Physical Soc2023

Unveiling new quantum phases in the Shastry-Sutherland compound SrCu2(BO3)(2) up to the saturation magnetic field

Frédéric Mila

Under magnetic fields, quantum magnets often undergo exotic phase transitions with various kinds of order. The discovery of a sequence of fractional magnetization plateaus in the Shastry-Sutherland compound SrCu2(BO3)(2) has played a central role in the hi ...

Nature Portfolio2023

Maple leaf antiferromagnet in a magnetic field

Frédéric Mila, Ronny Thomale, Pratyay Ghosh

We analyze the quantum antiferromagnet on the maple leaf lattice in the presence of a magnetic field. Starting from its exact dimer ground state and for a magnetic field strength of the order of the local dimer spin-exchange coupling, we perform a strong-c ...

Amer Physical Soc2023

Tensor network investigation of the hard-square model

Frédéric Mila, Samuel Louis Nyckees

Using the corner-transfer matrix renormalization group to contract the tensor network that describes its partition function, we investigate the nature of the phase transitions of the hard-square model, one of the exactly solved models of statistical physic ...

AMER PHYSICAL SOC2022