1,093 research outputs found
Interplay of superconductivity and magnetism in strong coupling
A model is introduced describing the interplay between superconductivity and
spin-ordering. It is characterized by on-site repulsive electron-electron
interactions, causing antiferromagnetism, and nearest-neighbor attractive
interactions, giving rise to d-wave superconductivity. Due to a special choice
for the lattice, this model has a strong-coupling limit where the
superconductivity can be described by a bosonic theory, similar to the strongly
coupled negative U Hubbard model. This limit is analyzed in the present paper.
A rich mean-field phase diagram is found and the leading quantum corrections to
the mean-field results are calculated. The first-order line between the
antiferromagnetic- and the superconducting phase is found to terminate at a
tricritical point, where two second-order lines originate. At these lines, the
system undergoes a transition to- and from a phase exhibiting both
antiferromagnetic order and superconductivity. At finite temperatures above the
spin-disordering line, quantum-critical behavior is found. For specific values
of the model parameters, it is possible to obtain SO(5) symmetry involving the
spin- and the phase-sector at the tricritical point. Although this symmetry is
explicitly broken by the projection to the lower Hubbard band, it survives on
the mean-field level, and modes related to a spontaneously broken SO(5)
symmetry are present on the level of the random phase approximation in the
superconducting phase.Comment: 16 pages Revtex, 5 figure
Holographic duality and the resistivity of strange metals
We present a strange metal, described by a holographic duality, which
reproduces the famous linear resistivity of the normal state of the copper
oxides, in addition to the linear specific heat. This holographic metal reveals
a simple and general mechanism for producing such a resistivity, which requires
only quenched disorder and a strongly interacting, locally quantum critical
state. The key is the minimal viscosity of the latter: unlike in a
Fermi-liquid, the viscosity is very small and therefore is important for the
electrical transport. This mechanism produces a resistivity proportional to the
electronic entropy.Comment: v2: 20 pages; changed order of presentation and added background
information; emphasised local criticalit
Condensing Nielsen-Olesen strings and the vortex-boson duality in 3+1 and higher dimensions
The vortex-boson (or Abelian-Higgs, XY) duality in 2+1 dimensions
demonstrates that the quantum disordered superfluid is equivalent to an ordered
superconductor and the other way around. Such a duality structure should be
ubiquitous but in 3+1 (and higher) dimensions a precise formulation of the
duality is lacking. The problem is that the topological defects become extended
objects, strings in 3+1D. We argue how the condensate of such vortex strings
must behave from the known physics of the disordered superfluid, namely the
Bose-Mott insulator. A flaw in earlier proposals is repaired, and a more direct
viewpoint, avoiding gauge fields, in terms of the physical supercurrent is laid
out, that also easily generalizes to higher-dimensional and more complicated
systems. Furthermore topological defects are readily identified; we demonstrate
that the Bose-Mott insulator supports line defects, which may be seen in cold
atom experiments.Comment: LaTeX, 25 pages, 5 figures; several revisions and addition
Classical frustration and quantum disorder in spin-orbital models
The most elementary of all physical spin-orbital models is the Kugel-Khomskii
model describing a S=1/2, degenerate Mott-insulator. Recent theoretical
work is reviewed revealing that the classical limit is characterized by a point
of perfect dynamical frustration. It is suggested that this might give rise to
a quantum disordered ground state.Comment: 7 pages Revtex, 3 ps figures, proceedings 1998 NEC symposium, Nasu,
Japa
Holographic fermions at strong translational symmetry breaking: a Bianchi-VII case study
It is presently unknown how strong lattice potentials influence the fermion
spectral function of the holographic strange metals predicted by the AdS/CFT
correspondence. This embodies a crucial test for the application of holography
to condensed matter experiments. We show that for one particular momentum
direction this spectrum can be computed for arbitrary strength of the effective
translational symmetry breaking potential of the so-called Bianchi-VII geometry
employing ordinary differential equations. Deep in the strange metal regime we
find rather small changes to the single-fermion response computed by the
emergent quantum critical IR, even when the potential becomes relevant in the
infra-red. However, in the regime where holographic quasi-particles occur,
defining a Fermi surface in the continuum, they acquire a finite lifetime at
any finite potential strength. At the transition from irrelevancy to relevancy
of the Bianchi potential in the deep infra-red the quasi-particle remnants
disappear completely and the fermion spectrum exhibits a purely relaxational
behaviour.Comment: 30 pages, 10 figure
Adjacent face scattering of electrons on a square Fermi surface
Interacting electrons with a square Fermi surface is investigated from a
bosonic point of view taking into account electron scattering between all faces
of the square. Fermion operators are classified according to their dimensions
and the stability of the boson fixed-point is investigated. In particular we
find, in contrast to previous studies, that the square Fermi surface is
unstable to doping in the case of no spin gap and microscopic Hubbard
interactions.Comment: Revtex 6 pages, 1 Figur
NMR evidence for two-step phase-separation in Nd_{1.85}Ce_{0.15}CuO_{4-delta}
By Cu NMR we studied the spin and charge structure in
Nd_{2-x}Ce_{x}CuO_{4-delta}. For x=0.15, starting from a superconducting
sample, the low temperature magnetic order in the sample reoxygenated under 1
bar oxygen at 900^0 C, reveals a peculiar modulation of the internal field,
indicative for a phase characterized by large charge droplets ('Blob'-phase).
By prolonged reoxygenation at 4 bar the blobs brake up and the spin structure
changes to that of an ordered antiferromagnet (AF). We conclude that the
superconductivity in the n-type systems competes with a genuine type I
Mott-insulating state
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