6,262 research outputs found
Possible quantum phase-manipulation of a two-leg ladder in mixed-dimensional fermionic cold atoms
The recent realization of mixed-dimensional systems of cold atoms has
attracted much attention from both experimentalists and theorists. Different
effective interactions and novel correlated quantum many-body phases may be
engineered in these systems, with the different phases being tunable via
external parameters. In this article we investigate a two-species Fermi atom
mixture: one species of atom exists in two hyperfine states and is confined to
move in a two-leg ladder, interacting with an on-site interaction, and the
other moves freely in a two dimensional square lattice that contains the
two-leg ladder. The two species of atoms interact via an on-site interaction on
the ladder. In the limit of weak inter-species interactions, the
two-dimensional gas can be integrated out, leading to an effective long-range
mediated interaction in the ladder, generated by to the on-site inter-species
interaction. We show that the form of the mediated interaction can be
controlled by the density of the two-dimensional gas and that it enhances the
charge density wave instability in the two-leg ladder after the renormalization
group transformation. Parameterizing the phase diagram with various
experimentally controllable quantities, we discuss the possible tuning of the
macroscopic quantum many-body phases of the two-leg ladder in this
mixed-dimensional fermionic cold atom system.Comment: 4 pages and 3 figure
Fermion pairing in mixed-dimensional atomic mixtures
We investigate the quantum phases of mixed-dimensional cold atom mixtures. In
particular, we consider a mixture of a Fermi gas in a two-dimensional lattice,
interacting with a bulk Fermi gas or a Bose-Einstein condensate in a
three-dimensional lattice. The effective interaction of the two-dimensional
system mediated by the bulk system is determined. We perform a functional
renormalization group analysis, and demonstrate that by tuning the properties
of the bulk system, a subtle competition of several superconducting orders can
be controlled among -wave, -wave, -wave, and
-wave pairing symmetries. Other instabilities such as a
charge-density wave order are also demonstrated to occur. In particular, we
find that the critical temperature of the -wave pairing induced by the
next-nearest-neighbor interactions can be an order of magnitude larger than
that of the same pairing induced by doping in the simple Hubbard model. We
expect that by combining the nearest-neighbor interaction with the
next-nearest-neighbor hopping (known to enhance -wave pairing), an even
higher critical temperature may be achieved.Comment: 10 pages, 10 figure
Renormalization-group exponents for superconducting phases in two-leg ladders
In previous studies, we proposed a scaling ansatz for electron-electron
interactions under renormalization group transformation. With the inclusion of
phonon-mediated interactions, we show that the scaling ansatz, characterized by
the divergent logarithmic length and a set of renormalization-group
exponents, also works rather well. The superconducting phases in a doped
two-leg ladder are studied and classified by these renormalization-group
exponents as demonstration. Finally, non-trivial constraints among the
exponents are derived and explained.Comment: 4 pages, 3 figures; minor revisions with references adde
- …