754 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
Local gauge symmetry on optical lattices?
The versatile technology of cold atoms confined in optical lattices allows
the creation of a vast number of lattice geometries and interactions, providing
a promising platform for emulating various lattice models. This opens the
possibility of letting nature take care of sign problems and real time
evolution in carefully prepared situations. Up to now, experimentalists have
succeeded to implement several types of Hubbard models considered by condensed
matter theorists. In this proceeding, we discuss the possibility of extending
this effort to lattice gauge theory. We report recent efforts to establish the
strong coupling equivalence between the Fermi Hubbard model and SU(2) pure
gauge theory in 2+1 dimensions by standard determinantal methods developed by
Robert Sugar and collaborators. We discuss the possibility of using dipolar
molecules and external fields to build models where the equivalence holds
beyond the leading order in the strong coupling expansion.Comment: 6 pages, 3 figures,poster presented at the 30th International
Symposium on Lattice Field Theory, June 24 - 29, 2012, Cairns, Australi
Critical Entanglement for the Half-Filled Extended Hubbard Model
We study the ground state of the one-dimensional extended Hubbard model at
half-filling using the entanglement entropy calculated by Density Matrix
Renormalization Group (DMRG) techniques. We apply a novel curve fitting and
scaling method to accurately identify a order critical point as well
as a Berezinskii-Kosterlitz-Thouless (BKT) critical point. Using open boundary
conditions and medium-sized lattices with very small truncation errors, we are
able to achieve similar accuracy to previous authors. We also report
observations of finite-size and boundary effects that can be remedied with
careful pinning.Comment: 10 pages, 12 figure
d_{xy}-Density wave in fermion-fermion cold atom mixtures
We study density wave instabilities in a doubly-degenerate Fermi-Fermi
mixture with symmetry on a square lattice. For sufficiently
large on-site inter-species repulsion, when the two species of fermions are
both at half-filling, two conventional (-wave) number density waves are
formed with a -phase difference between them to minimize the inter-species
repulsion. Upon moving one species away from half-filling, an unconventional
density wave with -wave symmetry emerges. When both species are away
from the vicinity of half-filling, superconducting instabilities dominate. We
present results of a functional renormalization-group calculation that maps out
the phase diagram at weak couplings. Also, we provide a simple explanation for
the emergence of the -density wave phase based on a four-patch model.
We find a robust and general mechanism for -density-wave formation that
is related to the shape and size of the Fermi surfaces. The density imbalance
between the two species of fermions in the vicinity of half-filling leads to
phase-space discrepancy for different inter-species Umklapp couplings. Using a
phase space argument for leading corrections in the one-loop renormalization
group approach to fermions, we show that the phase-space discrepancy in our
system causes opposite flows for the two leading intra-species Umklapp
couplings and that this triggers the -density-wave instability.Comment: revised long version; 8 pages, 7 figure
Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
The search for realistic one-dimensional (1D) models that exhibit dominant
superconducting (SC) fluctuations effects has a long history. In these 1D
systems, the effects of commensurate band fillings--strongest at
half-filling--and electronic repulsions typically lead to a finite charge gap
and the favoring of insulating density wave ordering over superconductivity.
Accordingly, recent proposals suggesting a gapless metallic state in the
Holstein-Hubbard (HH) model, possibly superconducting, have generated
considerable interest and controversy, with the most recent work demonstrating
that the putative dominant superconducting state likely does not exist. In this
paper we study a model with non-local electron-phonon interactions, in addition
to electron-electron interactions, this model unambiguously possesses dominant
superconducting fluctuations at half filling in a large region of parameter
space. Using both the numerical multi-scale functional renormalization group
for the full model and an analytic conventional renormalization group for a
bosonized version of the model, we demonstrate the existence of dominant
superconducting (SC) fluctuations. These dominant SC fluctuations arise because
the spin-charge coupling at high energy is weakened by the non-local
electron-phonon interaction and the charge gap is destroyed by the resultant
suppression of the Umklapp process. The existence of the dominant SC pairing
instability in this half-filled 1D system suggests that non-local
boson-mediated interactions may be important in the superconductivity observed
in the organic superconductors.Comment: 8 pages, 4 figure
Functional renormalization group analysis of the half-filled one-dimensional extended Hubbard model
We study the phase diagram of the half-filled one-dimensional extended Hubbard model at weak coupling using a novel functional renormalization group (FRG) approach. The FRG method includes in a systematic manner the effects of the scattering processes involving electrons away from the Fermi points. Our results confirm the existence of a finite region of bond charge density wave, also known as a "bond order wave" near U=2V and clarify why earlier g-ology calculations have not found this phase. We argue that this is an example in which formally irrelevant corrections change the topology of the phase diagram. Whenever marginal terms lead to an accidental symmetry, this generalized FRG method may be crucial to characterize the phase diagram accurately.First author draf
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