90 research outputs found
Repulsion-Sustained Supercurrent and Flux Quantization in Rings of Symmetric Hubbard Clusters
We test the response to a threading magnetic field of rings of 5-site
-symmetric repulsive Hubbard clusters connected by weak intercell
links; each 5-site unit has the topology of a CuO cluster and a repulsive
interaction is included on every site. In a numerical study of the three-unit
ring with 8 particles, we take advantage of a novel exact-diagonalization
technique which can be generally applied to many-fermion problems. For O-O
hopping we find Superconducting Flux Quantization (SFQ), but for purely Cu-Cu
links bound pair propagation is hindered by symmetry. The results agree with
W=0 pairing theory.Comment: 4 pages, 2 figure
Exact Ground State of the 2D Hubbard Model at Half Filling for
We solve analytically the square lattice Hubbard model for even
at half filling and weak coupling by a new approach. The exact ground state
wave function provides an intriguing and appealing picture of the
antiferromagnetic order. Like at strong coupling, the ground state has total
momentum and transforms as an wave for even and as a
wave otherwise.Comment: 4 pages, typos in equation 5 correcte
Bouncing transient currents and SQUID-like voltage in nano devices at half filling
Nanorings asymmetrically connected to wires show different kinds of quantum
interference phenomena under sudden excitations and in steady current
conditions. Here we contrast the transient current caused by an abrupt bias to
the magnetic effects at constant current. A repulsive impurity can cause charge
build-up in one of the arms and reverse current spikes.
Moreover, it can cause transitions from laminar current flow to vortices, and
also change the chirality of the vortex. The magnetic behavior of these devices
is also very peculiar. Those nano-circuits which consist of an odd number of
atoms behave in a fundamentally different manner compared to those which
consist of an even number of atoms. The circuits having an odd number of sites
connected to long enough symmetric wires are diamagnetic; they display
half-fluxon periodicity induced by many-body symmetry even in the absence of
electron-phonon and electron-electron interactions. In principle one can
operate a new kind of quantum interference device without superconductors.
Since there is no gap and no critical temperature, one predicts qualitatively
the same behavior at and above room temperature, although with a reduced
current. The circuits with even site numbers, on the other hand, are
paramagnetic.Comment: 7 pages, 10 figures, accepted by Phys. Rev.
Magnetization Transfer by a Quantum Ring Device
We show that a tight-binding model device consisting of a laterally connected
ring at half filling in a tangent time-dependent magnetic field can in
principle be designed to pump a purely spin current. The process exploits the
spin-orbit interaction in the ring. This behavior is understood analytically
and found to be robust with respect to temperature and small deviations from
half filling.Comment: 4 figures, 1 typo correcte
On-Site Repulsion as the Source of Pairing in Carbon Nanotubes and Intercalated Graphite
We show that different non-conventional superconductors have one fundamental
feature in common: pair eigenstates of the Hamiltonian are repulsion-free, the
W=0 pairs. In extended Hubbard models, pairing can occur for resonable
parameter values. For nanotubes the binding energy of the pair depends
strongly on the filling and decreases towards a reduced but nonzero value for
the graphite sheet .Comment: 4 pages, 2 figure
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