scholarly journals Controlled preparation and detection of d-wave superfluidity in two-dimensional optical superlattices

2009 ◽  
Vol 87 (6) ◽  
pp. 60001 ◽  
Author(s):  
A. M. Rey ◽  
R. Sensarma ◽  
S. Fölling ◽  
M. Greiner ◽  
E. Demler ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Controlled Preparation ◽  
D Wave

scholarly journals Dynamical d-wave condensation of exciton–polaritons in a two-dimensional square-lattice potential

2011 ◽  
Vol 7 (9) ◽  
pp. 681-686 ◽  
Author(s):  
Na Young Kim ◽  
Kenichiro Kusudo ◽  
Congjun Wu ◽  
Naoyuki Masumoto ◽  
Andreas Löffler ◽  
...  
Keyword(s):  
Square Lattice ◽  
Two Dimensional ◽  
Lattice Potential ◽  
Exciton Polaritons ◽  
D Wave

Formation of persistent ordered lamellar mesophases in azobenzene-containing silver thiolates and their application in the controlled synthesis of silver nanomaterials

2014 ◽  
Vol 2 (13) ◽  
pp. 2375-2386 ◽  
Author(s):  
Junfei Duan ◽  
Jie Ma ◽  
Bin Wu ◽  
Qian Li ◽  
Jianglin Fang ◽  
...  
Keyword(s):  
Controlled Synthesis ◽  
Two Dimensional ◽  
Silver Nanomaterials ◽  
Controlled Preparation

Mesogenic silver thiolate precursors provide an ideal two-dimensional confined platform for the fascinating controlled preparation of 2D shaped nanomaterials via a layered-precursor-to-lamellar-nanomaterial (LPLM) mechanism.

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.

RENORMALISATION GROUP ANALYSIS OF THE TWO-DIMENSIONAL HUBBARD MODEL: SPIN CORRELATIONS AND D-WAVE SUPERCONDUCTIVITY

2003 ◽  
Vol 17 (28) ◽  
pp. 5279-5288
Author(s):  
W. METZNER
Keyword(s):  
Hubbard Model ◽  
Spin Density ◽  
Density Wave ◽  
Group Analysis ◽  
Interaction Strength ◽  
Renormalisation Group ◽  
Model Parameters ◽  
Two Dimensional ◽  
Effective Interactions ◽  
D Wave

The repulsive two-dimensional Hubbard model is analysed within a functional renormalisation group (RG) approach. The flow equation for the effective interactions is evaluated on 1-loop level. The effective interactions diverge at a finite energy scale which is exponentially small for small bare interactions. To analyse the nature of the instabilities signalled by the diverging interactions, we compute the flow of the superconducting susceptibilities for various pairing symmetries and also charge and spin density susceptibilities. Depending on the choice of the model parameters (hopping amplitudes, interaction strength and band-filling) we find spin density wave instabilities or d-wave superconductivity as leading instability close to half-filling. This calculation establishes the existence of d-wave superconductivity in the Hubbard model beyond doubt.

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