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Frédéric Mila

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Publications associées (204)

Floating Phase versus Chiral Transition in a 1D Hard-Boson Model

Frédéric Mila, Natalia Chepiga

We investigate the nature of the phase transition between the period-three charge-density wave and the disordered phase of a hard-boson model proposed in the context of cold-atom experiments. Building on a density-matrix renormalization group algorithm tha ...

2019

Asymptotic Freedom and Large Spin Antiferromagnetic Chains

Frédéric Mila, Samuel Gozel

Building on the mapping of large-S spin chains onto the O(3) nonlinear sigma model with coupling constant 2/S, and on general properties of that model (asymptotic freedom, implying that perturbation theory is valid at high energy, and Elitzur's conjecture ...

2019

Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase

Frédéric Mila, Bruce Normand

The thermodynamic properties of the Shastry-Sutherland model have posed one of the longest-lasting conundrums in frustrated quantum magnetism. Over a wide range on both sides of the quantum phase transition (QPT) from the dimer-product state to the plaquet ...

2019

Infinite coherence time of edge spins in finite-length chains

Frédéric Mila, Ivo Aguiar Maceira

2018

Microscopic theory of the nearest-neighbor valence bond sector of the spin-1/2 kagome antiferromagnet

Frédéric Mila, Ioannis Rousochatzakis

2018

Rigorous decoupling between edge states in frustrated spin chains and ladders

Frédéric Mila, Natalia Chepiga

2018

Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations

Frédéric Mila, Bruce Normand

We investigate the minus-sign problem that afflicts quantum Monte Carlo (QMC) simulations of frustrated quantum spin systems, focusing on spin S = 1/2, two spatial dimensions, and the extended Shastry-Sutherland model. We show that formulating the Hamilton ...

2018

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

Frédéric Mila, Andrew James Smerald

We study the triangular-lattice Ising model with dipolar interactions, inspired by its realisation in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate temperatures, and that its behaviour can be tuned by temperat ...

2018

Spin dynamics of coupled spin ladders near quantum criticality in Ba2CuTeO6

Frédéric Mila

We report inelastic neutron scattering measurements of the magnetic excitations in Ba2CuTeO6, proposed by ab initio calculations to magnetically realize weakly coupled antiferromagnetic two-leg spin-1/2 ladders. Isolated ladders are expected to have a sing ...

2018

Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet

Frédéric Mila, Bruce Normand

We consider the finite-temperature phase diagram of the S = 1/2 frustrated Heisenberg bilayer. Although this two-dimensional system may show magnetic order only at zero temperature, we demonstrate the presence of a line of finite-temperature critical point ...

2018

Density matrix renormalization group simulations of SU(N) Heisenberg chains using standard Young tableaus: Fundamental representation and comparison with a finite-size Bethe ansatz

Frédéric Mila, Pierre Marcel Nataf

We develop an efficient method to perform density matrix renormalization group simulations of the SU(N) Heisenberg chain with open boundary conditions taking full advantage of the SU(N) symmetry of the problem. This method is an extension of the method pre ...

2018

Exact diagonalization of SU( N ) Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains using the full SU( N ) symmetry

Frédéric Mila, Pierre Marcel Nataf, Kianna Wan

We present a method for the exact diagonalization of the SU(N) Heisenberg interaction Hamiltonian using Young tableaus to work directly in each irreducible representation of the global SU(N) group. This generalized scheme is applicable to chains consisting ...

2017

Controlling the Topological Sector of Magnetic Solitons in Exfoliated Cr1/3NbS2 Crystals

Frédéric Mila, Fengping Li, Natalia Chepiga

We investigate manifestations of topological order in monoaxial helimagnet Cr1/3NbS2 by performing transport measurements on ultrathin crystals. Upon sweeping the magnetic field perpendicularly to the helical axis, crystals thicker than one helix pitch (48 ...

2017

Exact zero modes in frustrated Haldane chains

Frédéric Mila, Natalia Chepiga

2017

Linear flavor-wave theory for fully antisymmetric SU( N ) irreducible representations

Frédéric Mila, Karlo Penc, Pierre Marcel Nataf, Francisco Hyunkyu Kim

The extension of the linear flavor-wave theory to fully antisymmetric irreducible representations (irreps) of SU(N) is presented in order to investigate the color order of SU(N) antiferromagnetic Heisenberg models in several two-dimensional geometries. The ...

2017

Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder

Frédéric Mila, Bruce Normand

Quantum Monte Carlo simulations provide one of the more powerful and versatile numerical approaches to condensed matter systems. However, their application to frustrated quantum spin models, in all relevant temperature regimes, is hamstrung by the infamous ...

2017

Level crossings induced by a longitudinal coupling in the transverse field Ising chain

Frédéric Mila, Grégoire Vionnet

We study the effect of antiferromagnetic longitudinal coupling on the one-dimensional transverse field Ising model with nearest-neighbor couplings. In the topological phase where, in the thermodynamic limit, the ground state is twofold degenerate, we show ...

2017

Generalization of the Haldane conjecture to SU(3) chains

Frédéric Mila, Pierre Marcel Nataf, Miklos Lajko

2017

Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model

Frédéric Mila

Using determinant quantum Monte Carlo (DQMC) simulations, we systematically study the doping dependence of the crossover from one to two dimensions and its impact on the magnetic properties of the Hubbard model. A square lattice of chains is used, in which ...

2017

Excitation spectrum and density matrix renormalization group iterations

Frédéric Mila, Natalia Chepiga

We show that, in certain circumstances, exact excitation energies appear as locally site-independent (or flat) modes if one records the excitation spectrum of the effective Hamiltonian while sweeping through the lattice in the variational matrix-product-st ...

2017

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