Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rashba-coupling modelling for two-dimensional and high-order Rashba
  Hamiltonian for one-dimensional confined heavy holes   Based on standard k.p (8 x 8) multiband Hamiltonian, we have deduced an
explicit analytical expression for the Rashba-coupling parameter which
clarifies its anomalous behavior for heavy holes (hh), gated in
quasi-two-dimensional (Q2D) systems, by letting grow the density. Our modelling
remarkable better agrees with experimental results in comparison with earlier
theoretical models, while recovers the expected cubic dependence on the
quasi-momentum. For quasi-one-dimensional (Q1D) hh systems, we have formally
derived an effective Rashba Hamiltonian with two competitive terms on the
quasi-momentum, a linear term and a cubic one as predicted from suitable
approximations to the Q2D scope. The Rashba-coupling parameters also behave
anomalously and qualitatively support recent experiments in core/shell
nanowires. Furthermore, they exhibit an essential asymptotic discontinuity in
the low density regime as a function of the lateral confinement length. For hh,
we present closed schemes to accurately quote the Rashba-coupling parameters
both for the Q2D and Q1D systems, which become unprecedented for holes.

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The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci