Frédéric Mila

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Revealing three-dimensional quantum criticality by Sr substitution in Han purple

Frédéric Mila, Bruce Normand, Christian Rüegg, Gregory Scott Tucker

Classical and quantum phase transitions (QPTs), with their accompanying concepts of criticality and universality, are a cornerstone of statistical thermodynamics. An excellent example of a controlled QPT is the field-induced ordering of a gapped quantum ma ...

2021

State selective cooling of SU(N) Fermi gases

Frédéric Mila, Miklos Lajko

We investigate a species selective cooling process of a trapped SU(N) Fermi gas using entropy redistribution during adiabatic loading of an optical lattice. Using high-temperature expansion of the Hubbard model, we show that when a subset N-A < N of the si ...

2021

Solving frustrated Ising models using tensor networks

Frédéric Mila, Jeanne Colbois

Motivated by the recent success of tensor networks to calculate the residual entropy of spin ice and kagome Ising models, we develop a general framework to study frustrated Ising models in terms of infinite tensor networks that can be contracted using stan ...

2021

Direct observation of spin correlations in an artificial triangular lattice Ising spin system with grazing-incidence small-angle neutron scattering

Frédéric Mila, Andrew James Smerald

The triangular lattice with Ising magnetic moments is an archetypical example of geometric frustration. In the case of dipolar-coupled out-of-plane moments, the geometric frustration results in a disordered classical spin-liquid state at higher temperature ...

ROYAL SOC CHEMISTRY2021

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

Probing the topology of the quantum analog of a classical skyrmion

Frédéric Mila, Jeanne Colbois

In magnetism, skyrmions correspond to classical three-dimensional spin textures characterized by a topological invariant that keeps track of the winding of the magnetization in real space, a property that cannot be easily generalized to the quantum case si ...

2021

Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small farther-neighbor couplings

Frédéric Mila, Jeanne Colbois, Xueqiao Wang

Despite their simple formulation, short-range classical antiferromagnetic Ising models on frustrated lattices give rise to exotic phases of matter, in particular, due to their macroscopic ground-state degeneracy. Recent experiments on artificial spin syste ...

2021

Lifshitz point at commensurate melting of chains of Rydberg atoms

Frédéric Mila, Natalia Chepiga

The recent investigation of chains of Rydberg atoms has brought back the problem of commensurateincommensurate transitions into the focus of current research. In two-dimensional classical systems or in one-dimensional quantum systems, the commensurate melt ...

2021

Identifying the Huse-Fisher universality class of the three-state chiral Potts model

Frédéric Mila, Samuel Louis Nyckees, Jeanne Colbois

Using the corner-transfer matrix renormalization group approach, we revisit the three-state chiral Potts model on the square lattice, a model proposed in the eighties to describe commensurate-incommensurate transitions at surfaces, and with direct relevanc ...

ELSEVIER2021

Edge states and universality class of the critical two-box symmetric SU(3) chain

Frédéric Mila, Pierre Marcel Nataf, Samuel Gozel

We numerically demonstrate that, although it is critical, the two-box symmetric SU(3) chain possesses edge states in the adjoint representation whose excitation energy scales with the number of sites Ns as 1/(Ns log Ns), in close analogy to those found in ...

2021

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Direct observation of spin correlations in an artificial triangular lattice Ising spin system with grazing-incidence small-angle neutron scattering

Frédéric Mila, Andrew James Smerald

ROYAL SOC CHEMISTRY2021