scholarly journals Stripes and d-wave Superconductivity in the Two-dimensional Hubbard Model

2014 ◽  
Vol 58 ◽  
pp. 30-33
Author(s):  
Mitake Miyazaki ◽  
Kunihiko Yamaji ◽  
Takashi Yanagisawa
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
D Wave

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.

scholarly journals d-Wave Superconductivity and Pomeranchuk Instability in the Two-Dimensional Hubbard Model

2000 ◽  
Vol 85 (24) ◽  
pp. 5162-5165 ◽  
Author(s):  
Christoph J. Halboth ◽  
Walter Metzner
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
D Wave

scholarly journals Renormalization of hopping integrals in coexistence phase of stripe and d-wave superconductivity in two-dimensional Hubbard model

2012 ◽  
Vol 27 ◽  
pp. 64-67 ◽  
Author(s):  
Mitake Miyazaki ◽  
Kunihiko Yamaji ◽  
Takashi Yanagisawa ◽  
Kenji Yonemitsu
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
Coexistence Phase ◽  
D Wave

d-wave, dimer, and chiral states in the two-dimensional Hubbard model

1991 ◽  
Vol 43 (7) ◽  
pp. 6190-6193 ◽  
Author(s):  
Alberto Parola ◽  
Sandro Sorella ◽  
Michele Parrinello ◽  
Erio Tosatti
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
D Wave
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