scholarly journals d-wave correlated critical Bose liquids in two dimensions

2007 ◽  
Vol 75 (23) ◽  
Author(s):  
Olexei I. Motrunich ◽  
Matthew P. A. Fisher
Keyword(s):  
Two Dimensions ◽  
Bose Liquids ◽  
D Wave

scholarly journals Study of arpes data and d-wave superconductivity using electronic models in two dimensions

1995 ◽  
Vol 56 (12) ◽  
pp. 1645-1649 ◽  
Author(s):  
A. Moreo ◽  
A. Nazarenko ◽  
S. Haas ◽  
A. Sandvik ◽  
E. Dagotto
Keyword(s):  
Two Dimensions ◽  
Arpes Data ◽  
D Wave

LUTTINGER-LIQUID BEHAVIOUR IN 2D: THE VARIATIONAL APPROACH

1993 ◽  
Vol 07 (03) ◽  
pp. 119-141 ◽  
Author(s):  
CLAUDIUS GROS ◽  
ROSER VALENTÍ
Keyword(s):  
Monte Carlo ◽  
Variational Formulation ◽  
Variational Approach ◽  
Order Parameter ◽  
Luttinger Liquid ◽  
Two Dimensions ◽  
Point Of View ◽  
Two Dimensional ◽  
Liquid Type ◽  
D Wave

We study a variational formulation of the Luttinger-liquid concept in two dimensions. We show that a Luttinger-liquid wavefunction with an algebraic singularity at the Fermiedge is given by a Jastrow-Gutzwiller type wavefunction, which we evaluate by variational Monte Carlo for lattices with up to 38 × 38 = 1444 sites. We therefore find that, from a variational point of view, the concept of a Luttinger liquid is well defined even in 2D. We also find that the Luttinger liquid state is energetically favoured by the projected kinetic energy in the context of the 2D t-J model. We study and find coexistence of d-wave superconductivity and Luttinger-liquid behaviour in two-dimensional projected wavefunctions. We then argue that generally, any two-dimensional d-wave superconductor should be unstable against Luttinger-liquid type correlations along the (quasi-1D) nodes of the d-wave order parameter, at temperatures small compared to the gap.

scholarly journals DUALITY PICTURE BETWEEN ANTIFERROMAGNETISM AND d-WAVE SUPERCONDUCTIVITY IN t-J MODEL AT TWO DIMENSIONS

2000 ◽  
Vol 14 (04) ◽  
pp. 349-369
Author(s):  
TAI KAI NG
Keyword(s):  
Phase Diagram ◽  
Two Dimensions ◽  
The Other ◽  
Elementary Excitations ◽  
Topological Excitations ◽  
Superconducting Phases ◽  
Energy Gaps ◽  
D Wave

We show in this paper an interesting relation between elementary and topological excitations in the antiferromagnetic and d-wave superconducting phases of the t–J model at two dimensions. The topological spin and charge excitations in one phase have the same dynamics as elementary excitations in the other phase, except the appearance of energy gaps. Moreover, the transition from one phase to another can be described as a quantum disordering transition associated with the topological excitations. Based on the above picture, a plausible phase diagram of t–J model is constructed.

The Simple Generalized BCS-Type Model for the Acoustic Plasmon Induced d-Wave Superconductivity in High-Tc Layered Cuprate Compounds

1998 ◽  
Vol 12 (29n31) ◽  
pp. 3141-3145 ◽  
Author(s):  
A. V. Semenov
Keyword(s):  
Essential Feature ◽  
Circular Cross Section ◽  
Model Potential ◽  
Two Dimensions ◽  
Type Model ◽  
Fermi Velocity ◽  
Long Wavelength ◽  
Wave Channel ◽  
Proposed Model ◽  
D Wave

A simple analytically treated model is presented for high-T c superconductivity in layered cuprate compounds. This model assumes a cylindrical Fermi-surface with circular cross-section, but anisotropic Fermi-velocity (density of states), which is approximated by a step-like function on azimuth angle. The system under these assumptions is shown to support in the long wavelength limit collective charge-density excitations with acoustic spectrum (acoustic plasmons), which suppress the Coulomb interelectron repulsion for small transferred momenta. This result leads to the second essential feature of the proposed model: besides the standard assumptions of the BCS scheme the effective potential of interelectron interaction is characterized by additional step-like dependence on the absolute value of two-dimensional transferred quasimomenta. The effective constants of the Cooper pairing in anisotropic s- and d-wave channels are evaluated. It is shown, that the plasmon mechanism gives rise to the pairing in the d-wave channel despite the fully isotropic (in two dimensions) model potential. The Umklapp processes are taken into account and are shown to increase the pairing constants.

scholarly journals Angle-resolved study of density waves, superconductivity and pseudogap in two dimensions

2002 ◽  
Vol 12 (9) ◽  
pp. 65-68
Author(s):  
D. Zanchi
Keyword(s):  
Renormalization Group ◽  
Mean Field ◽  
Two Dimensions ◽  
Square Lattice ◽  
Correlated Electrons ◽  
Functional Renormalization Group ◽  
Half Filling ◽  
The Mean ◽  
Critical Scale ◽  
D Wave

Weakly correlated electrons on a square lattice are studied by angle-resolved functional renormalization group. Upon renormalization the interaction starts to depend on monienta and has pole-like solutions near the doping-dependent critical scale. Near half-filling this critical scale is the pseudogap temperature T*. In the overdoped regime the critical scale is the mean-field like critical temperature for d-wave superconductivity.

Two and one‐half dimensional Born inversion with an arbitrary reference

Geophysics ◽  
1987 ◽  
Vol 52 (1) ◽  
pp. 26-36 ◽  
Author(s):  
Norman Bleistein ◽  
Jack K. Cohen ◽  
Frank G. Hagin
Keyword(s):  
Ray Tracing ◽  
Sound Speed ◽  
Three Dimensional ◽  
Parameter Extraction ◽  
Two Dimensions ◽  
Parameter Estimates ◽  
Common Source ◽  
Amplitude Data ◽  
Zero Offset ◽  
D Wave

Multidimensional inversion algorithms are presented for both prestack and poststack data gathered on a single line. These algorithms both image the subsurface (i.e., give a migrated section) and, given relative true amplitude data, estimate reflection strength or impedance on each reflector. The algorithms are “two and one‐half dimensional” (2.5-D) in that they incorporate three‐dimensional (3-D) wave propagation in a medium which varies in only two dimensions. The use of 3-D sources does not entail any computational penalty, and it avoids the serious degradation of amplitude incurred by using the 2-D wave equation. Our methods are based on the linearized inversion theory associated with the “Born inversion.” Thus, we assume that the sound speed profile is well approximated by a given background velocity, plus a perturbation. It is this perturbation that we seek to reconstruct. We are able to treat the case of an arbitrary continuous background profile. However, the cost of implementation increases as one seeks to honor, successively, constant background, depth‐only dependent background, and, ultimately, fully lateral and depth‐dependent background. For depth‐only dependent background, the increase in CPU time is quite modest when compared to the constant‐background case. We exploit the high‐frequency character of seismic data ab initio. Therefore, we use ray theory and WKBJ Green’s functions in deriving our inversion representations. Furthermore, our algorithms reduce to finding quantities by ray tracing with respect to a background medium. In the constant‐background case, the ray tracing can be eliminated and an explicit algorithm obtained. In the case of a depth‐only dependent background, the ray tracing can be done quite efficiently. Finally, in the general 2.5-D case, the ray‐tracing procedure becomes the principal issue. However, the robustness of the inversion allows for a sparse computation of rays and interpolation for intermediary values. The inversion techniques presented here cover the cases of common‐source gather, common‐receiver gather, and common‐offset gather. Zero offset is a special case of the last of these. For offset data, the reflection coefficient is angle‐dependent, so parameter extraction is more difficult than in the zero‐offset case. Nonetheless, we are able to determine the unknown angle pointwise and derive parameter estimates at the same time as we produce the image. For each reflector, this estimate of the output is based on the Kirchhoff approximation of the upward‐scattered data. Thus, it is constrained to neither small discontinuities in sound speed at the reflector nor to small offset angle as would be the case for a strict “Born approximation” of the reflection process. The prestack algorithms presented here are inversions of single gathers. The question of how best to composite or “stack” these inversions is analogous to the question for any migration scheme and is not treated here.

Stability of d-wave pairing in two dimensions

1993 ◽  
Vol 88 (8) ◽  
pp. 593-595 ◽  
Author(s):  
J. Wheatley ◽  
T. Xiang
Keyword(s):  
Two Dimensions ◽  
Wave Pairing ◽  
D Wave

The tangled web of agency

2018 ◽  
Vol 41 ◽  
Author(s):  
Alain Pe-Curto ◽  
Julien A. Deonna ◽  
David Sander
Keyword(s):  
Two Dimensions ◽  
Bad Company

AbstractWe characterize Doris's anti-reflectivist, collaborativist, valuational theory along two dimensions. The first dimension is socialentanglement, according to which cognition, agency, and selves are socially embedded. The second dimension isdisentanglement, the valuational element of the theory that licenses the anchoring of agency and responsibility in distinct actors. We then present an issue for the account: theproblem of bad company.

A transmission electron microscopic study of structural transitions in fast ionic conductors

1987 ◽  
Vol 45 ◽  
pp. 156-157
Author(s):  
R. B. Queenan ◽  
P. K. Davies
Keyword(s):  
Optical Properties ◽  
Ionic Conduction ◽  
Recent Observation ◽  
Ionic Conductivities ◽  
Sodium Aluminate ◽  
Two Dimensions ◽  
Ionic Conductors ◽  
Electron Microscopic ◽  
Transmission Electron ◽  
Trivalent Cations

Na ß“-alumina (Na1.67Mg67Al10.33O17) is a non-stoichiometric sodium aluminate which exhibits fast ionic conduction of the Na+ ions in two dimensions. The Na+ ions can be exchanged with a variety of mono-, di-, and trivalent cations. The resulting exchanged materials also show high ionic conductivities.Considerable interest in the Na+-Nd3+-ß“-aluminas has been generated as a result of the recent observation of lasing in the pulsed and cw modes. A recent TEM investigation on a 100% exchanged Nd ß“-alumina sample found evidence for the intergrowth of two different structure types. Microdiffraction revealed an ordered phase coexisting with an apparently disordered phase, in which the cations are completely randomized in two dimensions. If an order-disorder transition is present then the cooling rates would be expected to affect the microstructures of these materials which may in turn affect the optical properties. The purpose of this work was to investigate the affect of thermal treatments upon the micro-structural and optical properties of these materials.

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