Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Majorana tunneling entropy   In thermodynamics a macroscopic state of a system results from a number of
its microscopic states. This number is given by the exponent of the system's
entropy $\exp(S)$. In non-interacting systems with discrete energy spectra,
such as large scale quantum dots, $S$ as a function of the temperature has
usually a plateau shape with integer values of $\exp(S)$ on these plateaus.
Plateaus with non-integer values of $\exp(S)$ are fundamentally forbidden and
would be thermodynamically infeasible. Here we investigate the entropy of a
non-interacting quantum dot coupled via tunneling to normal metals with
continuum spectra as well as to topological superconductors. We show that the
entropy may have non-integer plateaus if the topological superconductors
support weakly overlapping Majorana bound states. This brings a fundamental
change in the thermodynamics of the quantum dot whose specific heat $c_V$
acquires low temperature Majorana peaks which should be absent according to the
conventional thermodynamics. We also provide a fundamental thermodynamic
understanding of the transport properties, such as the linear conductance. In
general our results show that the thermodynamics of systems coupled to Majorana
modes represents a fundamental physical interest with diverse applications
depending on versatility of possible coupling mechanisms.

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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: stat
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat