Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regular and singular Fermi liquid in triple quantum dots: Coherent
  transport studies   A system of three coupled quantum dots in a triangular geometry (TQD) with
electron-electron interaction and symmetrically coupled to two leads is
analyzed with respect to the electron transport by means of the numerical
renormalization group. Varying gate potentials this system exhibits extremely
rich range of regimes with different many-electron states with various local
spin orderings. It is demonstrated how the Luttinger phase changes in a
controlled manner which then via the Friedel sum rule formula exactly
reproduces the conductance through the TQD system. The analysis of the
uncoupled TQD molecule from the leads gives a reliable qualitative
understanding of various relevant regimes and gives an insight into the phase
diagram with the regular Fermi liquid and singular-Fermi liquid phases.

20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an