Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The different shapes of spin textures as a journey through Brillouin
  zone chiral and polar symmetries   Crystallographic space group symmetry (CPGS) such as polar and nonpolar
crystal classes have long been known to classify compounds that have
spin-orbit-induced spin splitting. While taking a journey through the Brillouin
Zone (BZ) from one k-point to another for a fixed CPGS, it is expected that the
wavevector point group symmetry (WPGS) can change, and consequently a
qualitative change in the texture of the spin polarization (the expectation
value of spin operator $\vec{S}^{nk_{0}}$ in Bloch state $u(n,k)$ and the
wavevector $k_0$). However, the nature of the spin texture (ST) change is
generally unsuspected. In this work, we determine a full classification of the
linear-in-$k$ spin texture patterns based on the polarity and chirality
reflected in the WPGS at $k_0$. The spin-polarization vector $\vec{S}^{nk_{0}}$
controlling the ST is bound to be parallel to the rotation axis and
perpendicular to the mirror planes and hence, symmetry operation types in WPGSs
impose symmetry restriction to the ST. For instance, the ST is always parallel
to the wavevector $k$ in non-polar chiral WPGSs since they contain only
rotational symmetries. Some consequences of the ST classification based on the
symmetry operations in the WPGS include the observation of ST patterns that are
unexpected according to the symmetry of the crystal. For example, it is usually
established that spin-momentum locking effect requires the crystal inversion
symmetry breaking by an asymmetric electric potential. However, we find that
polar WPGS can have this effect even in compounds without electric dipoles or
external electric fields. We use the determined relation between WPGS and ST as
a design principle to select compounds with multiple ST near band edges at
different $k$-valleys. Based on high-throughput calculations for 1481
compounds, we find 37 previously fabricated materials with different ST near
band edges.

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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: math
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn