In this review, we describe the potentialities offered by the nuclear magnetic resonance (NMR) technique to explore at a microscopic level new quantum states of condensed matter induced by high magnetic fields. We focus on experiments realised in resistive (up to 34~T) or hybrid (up to 45~T) magnets, which open a large access to these quantum phase transitions. After an introduction on NMR observable, we consider several topics: quantum spin systems (spin-Peierls transition, spin ladders, spin nematic phases, magnetisation plateaus and Bose-Einstein condensation of triplet excitations), the field-induced charge density wave (CDW) in high Tc~superconductors, and exotic superconductivity including the Fulde-Ferrel-Larkin-Ovchinnikov superconducting state and the field-induced superconductivity due to the Jaccarino-Peter mechanism.
@article{arxiv.1711.00033,
title = {Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics},
author = {Claude Berthier and Mladen Horvatić and Marc-Henri Julien and Hadrien Mayaffre and Steffen Krämer},
journal= {arXiv preprint arXiv:1711.00033},
year = {2017}
}