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Frédéric Mila

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Publications associées (204)

Berry phase investigation of spin-S ladders

Frédéric Mila, Frédéric Alexis Michaud, Natalia Chepiga

We investigate the properties of antiferromagnetic spin-S ladders with the help of local Berry phases defined by imposing a twist on one or a few local bonds. In gapped systems with time-reversal symmetry, these Berry phases are quantized, hence able in pr ...

2013

Competing states in the SU(3) Heisenberg model on the honeycomb lattice: Plaquette valence-bond crystal versus dimerized color-ordered state

Frédéric Mila, Karlo Penc, Miklos Lajko

Conflicting predictions have been made for the ground state of the SU(3) Heisenberg model on the honeycomb lattice: Tensor network simulations found a plaquette order [Zhao et al., Phys. Rev. B 85, 134416 (2012)], where singlets are formed on hexagons, whi ...

2013

Semiclassical approach to ground-state properties of hard-core bosons in two dimensions

Frédéric Mila, Tommaso Coletta, Nicolas Laflorencie

Motivated by some inconsistencies in the way quantum fluctuations are included beyond the classical treatment of hard-core bosons on a lattice in the recent literature, we revisit the large-S semiclassical approach to hard-core bosons on the square lattice ...

2012

Degeneracy and ordering of the noncoplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice

Frédéric Mila, Karlo Penc

We investigate the zero-temperature behavior of the classical Heisenberg model on the triangular lattice in which the competition between exchange interactions of different orders favors a relative angle between neighboring spins Phi is an element of (0,2 ...

2012

Anticollinear magnetic order induced by impurities in the frustrated Heisenberg model of pnictides

Cédric Weber, Frédéric Mila

We present Monte Carlo simulations for a classical antiferromagnetic Heisenberg model with both nearest (J(1)) and next-nearest (J(2)) exchange couplings on the square lattice in the presence of nonmagnetic impurities. We show that the order-by-disorder en ...

2012

Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice

Frédéric Mila

The ground-state properties of the S = 1/2 transverse-field Ising model on the checkerboard lattice are studied using linear spin-wave theory. We consider the general case of different couplings between nearest neighbors (J(1)) and next-to-nearest neighbor ...

2012

Spin-Orbital Quantum Liquid on the Honeycomb Lattice

Frédéric Mila, Karlo Penc, Miklos Lajko

The main characteristic of Mott insulators, as compared to band insulators, is to host low-energy spin fluctuations. In addition, Mott insulators often possess orbital degrees of freedom when crystal-field levels are partially filled. While in the majority ...

American Physical Society2012

Entropy Dependence of Correlations in One-Dimensional SU(N) Antiferromagnets

Frédéric Mila

Motivated by the possibility to load multicolor fermionic atoms in optical lattices, we study the entropy dependence of the properties of the one-dimensional antiferromagnetic SU(N) Heisenberg model, the effective model of the SU(N) Hubbard model with one ...

2012

Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices

Frédéric Mila, Karlo Penc

We present a numerical study of the SU(N) Heisenberg model with the fundamental representation at each site for the kagome lattice (for N = 3) and the checkerboard lattice (for N = 4), which are the line graphs of the honeycomb and square lattices and thus ...

2012

Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice

Frédéric Mila, Karlo Penc

We present a numerical study of the SU(3) Heisenberg model of three-flavor fermions on the triangular and square lattice by means of the density-matrix renormalization group and infinite projected entangled-pair states. For the triangular lattice we confir ...

2012

Antiferromagnetic Spin-S Chains with Exactly Dimerized Ground States

Frédéric Mila, Frédéric Alexis Michaud, François Vernay, Salvatore Manmana

We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (Si-1 center dot S-i)(S-i center dot S-i (+) (1)) + H.c. possess fully dimerized ground states if the ratio of the three-body interaction to the bilinear one i ...

2012

Evidence for Columnar Order in the Fully Frustrated Transverse Field Ising Model on the Square Lattice

Frédéric Mila, Tommaso Coletta, Sandro Wenzel

Using extensive classical and quantum Monte Carlo simulations, we investigate the ground-state phase diagram of the fully frustrated transverse field Ising model on the square lattice. We show that pure columnar order develops in the low-field phase above ...

2012

Competition between two- and three-sublattice ordering for S=1 spins on the square lattice

Frédéric Mila, Karlo Penc, Tamás András Tóth

We provide strong evidence that the S = 1 bilinear-biquadratic Heisenberg model with nearest-neighbor interactions on the square lattice possesses an extended three-sublattice phase induced by quantum fluctuations for sufficiently large biquadratic interac ...

2012

Unconventional magnetization plateaus in a Shastry-Sutherland spin tube

Jean-David Picon, Frédéric Mila, Salvatore Manmana

Using density matrix renormalization group (DMRG) and perturbative continuous unitary transformations (PCUTs), we study the magnetization process in a magnetic field for all coupling strengths of a quasi-1D version of the 2D Shastry-Sutherland lattice, a f ...

2011

Field-induced gap in a quantum spin-1/2 chain in a strong magnetic field

Frédéric Mila, Salvatore Manmana

Magnetic excitations in copper pyrimidine dinitrate, a spin-1/2 antiferromagnetic chain with alternating g-tensor and Dzyaloshinskii-Moriya interactions that exhibits a field-induced spin gap, are probed by means of pulsed-field electron-spin-resonance spe ...

2011

Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field

Frédéric Mila, Salvatore Manmana

We investigate the properties of the Heisenberg S = 1 chain with bilinear and biquadratic interactions in a magnetic field using the density-matrix renormalization-group, Bethe ansatz, and field-theoretical considerations. In a large region of the paramete ...

2011

Theory of inelastic light scattering in spin-1 systems: Resonant regimes and detection of quadrupolar order

Frédéric Mila, Frédéric Alexis Michaud, François Vernay

Motivated by the lack of an obvious spectroscopic probe to investigate nonconventional order such as quadrupolar orders in spin S > 1/2 systems, we present a theoretical approach to inelastic light scattering for spin-1 quantum magnets in the context of a ...

2011

Emergence of one-dimensional physics from the distorted Shastry-Sutherland lattice

Frédéric Mila

Motivated by the ongoing investigation of SrCu2(BO3)(2) under pressure, we study a variant of the two-dimensional Shastry-Sutherland (SS) spin-1/2 model with two types of dimers. Combined with the frustration of the SS model, this modification induces, in ...

2011

Destruction of valence-bond order in a S=1/2 sawtooth chain with a Dzyaloshinskii-Moriya term

Frédéric Mila, Ioannis Rousochatzakis

A small value of the spin gap in quantum antiferromagnets with strong frustration makes them susceptible to nominally small deviations from the ideal Heisenberg model. One such perturbation, the anisotropic Dzyaloshinskii-Moriya (DM) interaction, is an imp ...

2011

Phase diagram of the fully frustrated transverse-field Ising model on the honeycomb lattice

Jean-David Picon, Frédéric Mila, Tommaso Coletta

Motivated by the current interest in the quantum dimer model on the triangular lattice, we investigate the phase diagram of the closely related fully frustrated transverse-field Ising model on the honeycomb lattice using classical and semiclassical approxi ...

2011

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