Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frustrated quantum rare-earth pyrochlores   In this review we provide an introduction to the physics of a series of
frustrated quantum rare-earth pyrochlores. We first give a background on the
microscopic single- and two-ion physics of these materials, discussing the
origins and properties of their exchange interactions and their minimal
low-energy effective models, before outlining what is known about their
classical and quantum phases. We then make use of this understanding to discuss
four important material examples: Er$_2$Ti$_2$O$_7$, Yb$_2$Ti$_2$O$_7$,
Tb$_2$Ti$_2$O$_7$ and Pr$_2$Zr$_2$O$_7$, covering in some detail what is known
experimentally and theoretically for each, and summarize some key questions
that remain open. Finally, we offer an outlook on some alternative material
platforms for realizing similar physics and discuss what we see as prospects
for future investigations on these quantum rare-earth pyrochlores.

34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: eess
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th