Classical and quantum two-dimensional ice : Coulomb and ordered phases
type: Dataset
description: Frustration – namely the presence of competing interactions – gives rise to highly complex effects in physics. Ice – be it the well known water ice or its magnetic equivalent, the so-called spin-ice – offers a remarkable example in this context. For short-range interactions and classical degrees of freedom, its ground state is infinitely degenerate, and exhibits long-range correlations induced by a local constraint, characterizing the so-called Coulomb phase. Its elementary excitations correspond to the flip of a dipole “fractionalizing” into two monopoles. In this thesis we are interested in the stability of this Coulomb phase in the two-dimensional ice – realized in the form of a proton ice in organic compounds as well as of spin ice in nanomagnetic systems. In the classical case, dipolar interactions – present in the experimental systems – destabilize the Coulomb phase in the ground state. However, a slight deformation of the simple planar geometry allows to recover this phase in a regime where different ordered states compete with each other. In the quantum case, fluctuations due to a transverse magnetic field induce a symmetry breaking in the ground state, that melts at low temperature into a quantum Coulomb phase, realizing a quantum spin liquid with fractionalized excitations. Our results were obtained with analytical (classical and quantum normal-mode analysis and perturbation theory) as well as numerical techniques (Monte Carlo) based on original algorithms.
landing page: https://theses.hal.science/tel-00932367
identifier: NNT: 2013ENSL0858
keyword: coulomb-phase
keyword: frustrated-magnetism
keyword: glaces-de-spin
keyword: infoeu-reposemanticsdoctoralthesis
keyword: liquide-de-spin
keyword: magnetisme-frustre
keyword: monte-carlo
keyword: phase-de-coulomb
keyword: phase-transitions
keyword: physcondcm-genphysics-physicscondensed-matter-cond-matother-cond-matother
keyword: spin-ice
keyword: spin-liquid
keyword: theses
keyword: transitions-de-phase
issued: 2026-05-07T09:13:29.636820
modified: 2026-05-07T09:13:29.636826
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Classical and quantum two-dimensional ice : Coulomb and ordered phases
type: Distribution
format: HTML
access URL: https://theses.hal.science/tel-00932367
issued: 2026-05-07T09:13:29.639134
modified: 2026-05-07T09:13:29.614023