Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frustration-driven unconventional phase transitions at finite
  temperature in a one-dimensional ladder Ising model   The Ising model, with short-range interactions between constituents, is a
basic mathematical model in statistical mechanics. It has been widely used to
describe collective phenomena such as order-disorder phase transitions in
various physical, biological, economical, and social systems. However, it was
proven that spontaneous phase transitions do not exist in the one-dimensional
Ising models. Besides low dimensionality, frustration is the other well-known
suppressor of phase transitions. Here I show that surprisingly, a strongly
frustrated one-dimensional two-leg ladder Ising model can exhibit a marginal
finite-temperature phase transition. It features a large latent heat, a sharp
peak in specific heat, and unconventional order parameters, which classify the
transition as involving an entropy-favored intermediate-temperature ordered
state and further unveil a crossover to an exotic "normal state" in which
frustration effectively decouples the two strongly interacted legs in a
counterintuitive non-mean-field way. These exact results expose a mathematical
structure that has not appeared before in phase-transition problems, and shed
new light on our understanding of phase transitions and the dynamical actions
of frustration. Applications of this model and its mechanisms to various
systems with extensions to consider higher dimensions, quantum characters, or
external fields, etc. are anticipated and briefly discussed---with insights
into the puzzling phenomena of strange strong frustration and
intermediate-temperature orders such as the Bozin-Billinge
orbital-degeneracy-lifting recently discovered in real materials.

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The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th