Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical study of the giant nonlocal resistance in spin-orbital coupled
  graphene   Recent experiments find the signal of giant nonlocal resistance $R_{NL}$ in
H-shaped graphene samples due to the spin/valley Hall effect. Interestingly,
when the Fermi energy deviates from the Dirac point, $R_{NL}$ decreases to zero
much more rapidly compared with the local resistance $R_L$, and the well-known
relation of $R_{NL}\propto R_L^3$ is not satisfied. In this work, based on the
non-equilibrium Green's function method, we explain such transport phenomena in
the H-shaped graphene with Rashba spin-orbit coupling. When the Fermi energy is
near the Dirac point, the nonlocal resistance is considerably large and is much
sharper than the local one. Moreover, the relationship between the Rashba
effect and the fast decay of $R_{NL}$ compared with $R_L$ is further
investigated. We find that the Rashba effect does not contribute not only to
the fast decay but also to the peak of $R_{NL}$ itself. Actually, it is the
extremely small density of states near the Dirac point that leads to the large
peak of $R_{NL}$, while the fast decay results from the quasi-ballistic
mechanism. Finally, we revise the classic formula $R_{NL}\propto R_L^3$ by
replacing $R_{NL}$ with $R_{Hall}$, which represents the nonlocal resistance
merely caused by the spin Hall effect, and the relation holds well.

36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph