Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium Properties of Berezinskii-Kosterlitz-Thouless Phase
  Transitions   We employ a novel, unbiased renormalization-group approach to investigate
non-equilibrium phase transitions in infinite lattice models. This allows us to
address the delicate interplay of fluctuations and ordering tendencies in low
dimensions out of equilibrium. We study a prototypical model for the metal to
insulator transition of spinless interacting fermions coupled to electronic
baths and driven out of equilibrium by a longitudinal static electric field.
The closed system features a Berezinskii-Kosterlitz-Thouless transition between
a metallic and a charge-ordered phase in the equilibrium limit. We compute the
non-equilibrium phase diagram and illustrate a highly non-monotonic dependence
of the phase boundary on the strength of the electric field: For small fields,
the induced currents destroy the charge order, while at higher electric fields
it reemerges due to many-body Wannier-Stark localization physics. Finally, we
show that the current in such an interacting non-equilibrium system can
counter-intuitively flow opposite to the direction of the electric field. This
non-equilibrium steady-state is reminiscent of an equilibrium distribution
function with an effective negative temperature.

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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th