Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of inhomogeneities and thermal fluctuations on the spectral
  function of a model d-wave superconductor   We compute the spectral function $A({\bf k}, \omega)$ of a model
two-dimensional high-temperature superconductor, at both zero and finite
temperatures $T$. We assume that an areal fraction $c_{\beta}$ of the
superconductor has a large gap $\Delta$ ($\beta$ regions), while the rest has a
smaller $\Delta$ ($\alpha$ regions), both of which are randomly distributed in
space. We find that $A({\bf k}, \omega)$ is most strongly affected by
inhomogeneity near the point $\mathbf k = (\pi, 0)$ (and the symmetry-related
points). For $c_\beta\simeq 0.5$, $A({\bf k}, \omega)$ exhibits two double
peaks (at positive and negative energy) near this k-point if the difference
between $\Delta_\alpha$ and $\Delta_\beta$ is sufficiently large in comparison
to the hopping integral. The strength of the inhomogeneity required to produce
a split spectral function peak suggests that inhomogeneity is unlikely to be
the cause of a second branch in the dispersion relation. Thermal fluctuations
also affect $A({\bf k}, \omega)$ most strongly near $\mathbf k = (\pi,0)$.
Typically, peaks that are sharp at $T = 0$ become reduced in height, broadened,
and shifted toward lower energies with increasing $T$; the spectral weight near
$\mathbf k = (\pi, 0)$ becomes substantial at zero energy for $T$ greater than
the phase-ordering temperature.

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The categories of this paper are: physics
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
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The categories of this paper are: stat
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: hep-ph