Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
J. A. Mydosh, P. M. Oppeneer

TL;DR
This paper reviews the 25-year research effort to understand the hidden order phase in URu2Si2, its relation to superconductivity and magnetism, and recent experimental and theoretical advances in probing this mysterious state.
Contribution
It summarizes recent experimental techniques and theoretical developments aimed at uncovering the nature of the hidden order in URu2Si2 and related materials.
Findings
Hidden order supports superconductivity at low temperatures.
Pressure destroys both hidden order and superconductivity.
Advanced probing techniques are providing new insights into the hidden order.
Abstract
This Colloquium reviews the 25 year quest for understanding the continuous (second-order) mean-field-like phase transition occurring at 17.5 K in URu2Si2. About ten years ago, the term hidden order (HO) was coined and has since been utilized to describe the unknown ordered state, whose origin cannot be disclosed by conventional solid-state probes, such as x rays, neutrons, or muons. HO is able to support superconductivity at lower temperatures (Tc ~ 1.5 K), and when magnetism is developed with increasing pressure both the HO and the superconductivity are destroyed. Other ways of probing the HO are via Rh-doping and very large magnetic fields. During the last few years a variety of advanced techniques have been tested to probe the HO state and their attempts will be summarized. A digest of recent theoretical developments is also included. It is the objective of this Colloquium to shed…
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