TL;DR
This paper reviews recent advances in quantum magnetism, emphasizing critical quantum states at phase transitions, their unique gapless excitations, and connections to holographic black hole models, highlighting their importance in understanding complex quantum phases.
Contribution
It provides a comprehensive survey of experimental and theoretical developments in quantum magnetism, focusing on critical states and their broader implications for condensed matter and holography.
Findings
Critical quantum states exhibit gapless excitations without particle interpretation.
Holographic models relate quantum criticality to black hole physics.
Quantum magnetism insights inform superconducting and metallic states.
Abstract
Magnetic insulators have proved to be fertile ground for studying new types of quantum many body states, and I survey recent experimental and theoretical examples. The insights and methods transfer also to novel superconducting and metallic states. Of particular interest are critical quantum states, sometimes found at quantum phase transitions, which have gapless excitations with no particle- or wave-like interpretation, and control a significant portion of the finite temperature phase diagram. Remarkably, their theory is connected to holographic descriptions of Hawking radiation from black holes.
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