Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stripe phase: analytical results for weakly coupled repulsive Hubbard
  model   Motivated by the stripe developments in cuprates, we review some analytical
results of our studies of the charge- and spin density modulations (CDW and
SDW) in a weakly coupled one dimensional repulsive electron system on a
lattice. It is shown that close to half filling, in the high temperature regime
above the mean field transition temperature, short range repulsions favor
charge density fluctuations with wave vectors bearing special relations with
those of the spin density fluctuations. In the low temperature regime, not only
the wave vectors, but also the mutual phases of the CDW and SDW become coupled
due to a quantum interference phenomenon, leading to the stripe phase
instability in a quasi one-dimensional repulsive electron system. It is shown
that away from half filling periodic lattice potential causes cooperative
condensation of the spin and charge superlattices. "Switching off" this
potential causes vanishing of the stripe order. The leading spin-charge
coupling term in the effective Landau functional is derived microscopically.
Results of the 1D renormalization group (parquet) analysis away from half
filling are also presented, which indicate transient-scale correlations
resembling the mean-field pattern. Farther, the self-consistent solution for
the spin-charge solitonic superstructure in a quasi-one-dimensional electron
system is obtained in the framework of the Hubbard model as a function of hole
doping and temperature. Possible relationship with the stripe phase
correlations observed in high T_c cuprates is discussed.

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The categories of this paper are: stat
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
2
The categories of this paper are: math