Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of impurity in the environment of Dirac fermions   We study the dynamics of a non-magnetic impurity interacting with the surface
states of a 3D and 2D topological insulator. Employing the linked cluster
technique we develop a formalism for obtaining the Greens function of the
mobile impurity interacting with the low-energy Dirac fermions. We show that
for the non-recoil case in 2D, similar to the case involving the parabolic
spectrum, the Greens function in the long-time limit has a power-law decay in
time implying the breakdown of the quasiparticle description of the impurity.
The spectral function, in turn, exhibits a weak power-law singularity. In the
recoil case, however, the reduced phase-space for scattering processes implies
a non-zero quasiparticle weight and the presence of a coherent part in the
spectral function. Performing a weak coupling analysis we find that the
mobility of the impurity reveals a divergence at low temperatures. In addition,
we show that the Greens function of an impurity interacting with the helical
edge modes (surface states of 2D TI), exhibit power-law decay in the long-time
limit for both the non-recoil and recoil case (with low impurity momentum),
indicating the break down of the quasiparticle picture. However, for impurity
with high momentum, the quasiparticle picture is restored. Using the Boltzmann
approach we show that the presence of the magnetic field results in a power-law
divergence of the impurity mobility at low-temperatures.

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The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat