Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unconventional quantum criticality emerging as a new common language of
  transition-metal compounds, heavy-fermion systems, and organic conductors   We analyze and overview several different unconventional quantum
criticalities. One origin of the unconventionality is the proximity to
first-order transitions. The border between the first-order and continuous
transitions is described by a quantum tricritical point (QTCP) for
symmetry-breaking transitions. One of the characteristic features is the
concomitant divergence of order-parameter and uniform fluctuations in contrast
to the conventional quantum critical point (QCP). Several puzzling
non-Fermi-liquid properties are referred to be accounted for as in the cases of
YbRh2Si2, CeRu2Si2 and beta-YbAlB4. Another more dramatic unconventionality
appears in this case for topological transitions such as metal-insulator and
Lifshitz transitions. This border, the marginal quantum critical point (MQCP),
belongs to an unprecedented universality class with diverging uniform
fluctuations at zero temperature. The MQCP has a unique feature by a combined
character of symmetry-breaking and topological transitions. The theoretical
results are supported by experimental indications for V2-xCrxO3 and an organic
conductor kappa-(ET)2Cu[N(CN)2]Cl. Identifying topological transitions also
reveals how non-Fermi liquid appears as a phase in metals. The theory also
accounts for the criticality of a metamagnetic transition in ZrZn2, by
interpreting it as an interplay of Lifshitz transition and correlation effects.
We discuss common underlying physics in these examples.

13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ