Publications related to Self-conjugate representation SU(3) chains

Haldane Gap of the Three-Box Symmetric SU(3) Chain

Frédéric Mila, Pierre Marcel Nataf, Samuel Gozel

Motivated by the recent generalization of the Haldane conjecture to SU(3) chains [Lajko et al., Nucl. Phys. B924, 508 (2017)] according to which a Haldane gap should be present for symmetric representations if the number of boxes in the Young diagram is a ...

2020

Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice

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

We provide numerical evidence in favor of spontaneous chiral symmetry breaking and the concomitant appearance of an Abelian chiral spin liquid for three-component fermions on the triangular lattice described by an SU(3) symmetric Hubbard model with hopping ...

2020

Novel families of SU(N) AKLT states with arbitrary self-conjugate edge states

Frédéric Mila, Samuel Gozel

Using the Matrix Product State framework, we generalize the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction to one-dimensional spin liquids with global color SU(N) symmetry, finite correlation lengths, and edge states that can belong to any self-conjugate ...

2019

Chiral charge dynamics in Abelian gauge theories at finite temperature

Mikhail Chapochnikov, Daniel Garcia Figueroa, Adrien Florio

We study fermion number non-conservation (or chirality breaking) in Abelian gauge theories at finite temperature. We consider the presence of a chemical potential mu for the fermionic charge, and monitor its evolution with real-time classical lattice simul ...

Springer Nature2019

Conformal symmetry: Towards the link between the Fermi and the Planck scales

Mikhail Chapochnikov, Andrey Shkerin

If the mass of the Higgs boson is put to zero, the classical Lagrangian of the Standard Model (SM) becomes conformally invariant (CI). Taking into account quantum non-perturbative QCD effects violating CI leads to electroweak symmetry breaking with the sca ...

ELSEVIER SCIENCE BV2018

Chiral gravitational waves from chiral fermions

Eray Sabancilar

We report on a new mechanism that leads to the generation of primordial chiral gravitational waves, and hence, the violation of the parity symmetry in the Universe. We show that nonperturbative production of fermions with a definite helicity is accompanied ...

American Physical Society2017

A variational investigation of the SU(N) Heisenberg model in antisymmetric irreducible representations

Jérôme Dufour

Motivated by recent experimental progress in the context of ultra-cold multi-colour fermionic atoms in optical lattices, this thesis investigates the properties of the antiferromagnetic SU(N) Heisenberg models with fully antisymmetric irreducible represent ...

EPFL2016

Large field excursions and approximate discrete symmetries from a clockwork axion

Riccardo Rattazzi

We present a renormalizable theory of scalars in which the low-energy effective theory contains a pseudo-Goldstone boson with a compact field space of 2 pi F and an approximate discrete shift symmetry Z(Q) with Q >> 1, yet the number of fields in the theor ...

American Physical Society2016

Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff

Riccardo Rattazzi

We classify condensed matter systems in terms of the spacetime symmetries they spontaneously break. In particular, we characterize condensed matter itself as any state in a Poincare-invariant theory that spontaneously breaks Lorentz boosts while preserving ...

Springer Nature2015

Effective Lagrangian Perspectives on Electroweak Symmetry Breaking

Andrea Thamm

We use an effective Lagrangian approach to address the question of the dynamics of electroweak symmetry breaking in the Standard Model (SM) and its relation to the hierarchy problem. Composite Higgs models provide a solution by describing the recently disc ...

EPFL2014