Concept

Nine lemma

Related publications (12)

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

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

Plaquette order in the SU(6) Heisenberg model on the honeycomb lattice

Frédéric Mila, Karlo Penc, Pierre Marcel Nataf, Miklos Lajko

We revisit the SU(6) Heisenberg model on the honeycomb lattice, which has been predicted to be a chiral spin liquid by mean-field theory [G. Szirmai et al., Phys. Rev. A 84, 011611(R) (2011)]. Using exact diagonalizations of finite clusters, infinite proje ...

2016

Real Space Imaging of Spin Polarons in Zn-Doped SrCu2(BO3)(2)

Frédéric Mila

We report on the real space profile of spin polarons in the quasi-two-dimensional frustrated dimer spin system SrCu2(BO3)(2) doped with 0.16% of Zn. The B-11 nuclear magnetic resonance spectrum exhibits 15 additional boron sites near nonmagnetic Zn impurit ...

2015

Quantum dimer model for the spin-1/2 kagome Z(2) spin liquid

Frédéric Mila, Ioannis Rousochatzakis

We revisit the description of the low-energy singlet sector of the spin-1/2 Heisenberg antiferromagnet on kagome in terms of an effective quantum dimer model. With the help of exact diagonalizations of appropriate finite-size clusters, we show that the emb ...

2014

Realization of higher Wess-Zumino-Witten models in spin chains

Frédéric Mila, Salvatore Manmana, Frédéric Alexis Michaud

Building on the generalization of the exactly dimerized Majumdar-Ghosh ground state to arbitrary spin S for the Heisenberg chain with a three-site term (Si-1 . S-i)(S-i . Si+1) + H.c., we use density-matrix renormalization group simulations and exact diago ...

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

Effective spin couplings in the Mott insulator of the honeycomb lattice Hubbard model

Motivated by the recent discovery of a spin-liquid phase for the Hubbard model on the honeycomb lattice at half-filling (Meng et al 2010 Nature 88 487), we apply both perturbative and non-perturbative techniques to derive effective spin Hamiltonians descri ...

Iop Publishing Ltd2012

Unconventional magnetization plateaus in a Shastry-Sutherland spin tube

Frédéric Mila, Salvatore Manmana, Jean-David Picon

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

Spin-Peierls instabilities of antiferromagnetic rings in a magnetic field

Frédéric Mila, Karlo Penc, Ioannis Rousochatzakis

Motivated by the intriguing properties of magnetic molecular wheels at field-induced level crossings, we investigate the spin-Peierls instability of antiferromagnetic rings in a field by exact diagonalizations of a microscopic spin model coupled to the lat ...

2009

Exact diagonalization study of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice in a magnetic field

We study the field dependence of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice by means of exact diagonalizations. In the first part, we calculate the spin-wave velocity c, the spin stiffness rho(s), and the magnetic susceptibility ...

2009

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