Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics
Claude Berthier (1), Mladen Horvati\'c (1), Marc-Henri Julien (1),, Hadrien Mayaffre, Steffen Kr\"amer (1) ((1) Laboratoire National des, Champs Magn\'etiques Intenses-CNRS (UPR 3228), Grenoble, France)

TL;DR
This review discusses how high magnetic field nuclear magnetic resonance (NMR) techniques enable the exploration of new quantum states in condensed matter physics, revealing insights into various quantum phase transitions and exotic superconducting states.
Contribution
It highlights the application of high-field NMR in studying quantum states and phase transitions in condensed matter, emphasizing recent experimental advancements and specific phenomena.
Findings
NMR reveals quantum spin states and phase transitions in high magnetic fields.
Identification of field-induced charge density waves in high-$T_c$ superconductors.
Observation of exotic superconducting states like FFLO and field-induced superconductivity.
Abstract
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 ~superconductors, and exotic superconductivity including the Fulde-Ferrel-Larkin-Ovchinnikov superconducting state and the field-induced superconductivity due to the Jaccarino-Peter mechanism.
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