Renormalisation group study of the two-dimensional Hubbard model

1985 ◽  
Vol 18 (5) ◽  
pp. 889-898 ◽  
Author(s):  
C Vanderzande
Keyword(s):  
Hubbard Model ◽  
Renormalisation Group ◽  
Two Dimensional

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 Quasi-particle functional Renormalisation Group calculations in the two-dimensional half-filled Hubbard model at finite temperatures

2020 ◽  
Vol 9 (6) ◽  
Author(s):  
Daniel Rohe ◽  
Carsten Honerkamp
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Renormalisation Group ◽  
Direct Access ◽  
Two Dimensional ◽  
Quasi Particle ◽  
Energy Data ◽  
Self Energy ◽  
Real Frequency

We present a highly parallelisable scheme for treating functional Renormalisation Group equations which incorporates a quasi-particle-based feedback on the flow and provides direct access to real-frequency self-energy data. This allows to map out the boundaries of Fermi-liquid regimes and to study the effect of quasi-particle degradation near Fermi liquid instabilities. As a first application, selected results for the two-dimensional half-filled perfectly nested Hubbard model are shown.

The pairing symmetries in the two-dimensional Hubbard model

2021 ◽  
pp. 127153
Author(s):  
Ke Liu ◽  
Shuhui Yang ◽  
Weiqi Li ◽  
Tao Ying ◽  
Jianqun Yang ◽  
...  
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
Pairing Symmetries

scholarly journals Spin diffusion and spin conductivity in the two-dimensional Hubbard model

2021 ◽  
Vol 103 (15) ◽  
Author(s):  
Martin Ulaga ◽  
Jernej Mravlje ◽  
Jure Kokalj
Keyword(s):  
Hubbard Model ◽  
Spin Diffusion ◽  
Two Dimensional

scholarly journals Effect of electron correlations on the formation of spiral magnetic states in the two-dimensional t-t′ Hubbard model

JETP Letters ◽  
2013 ◽  
Vol 98 (3) ◽  
pp. 150-155 ◽  
Author(s):  
P. A. Igoshev ◽  
M. A. Timirgazin ◽  
A. K. Arzhnikov ◽  
V. Yu. Irkhin
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
Electron Correlations ◽  
Magnetic States

scholarly journals Phase separation in the two-dimensional Hubbard model: A fixed-node quantum Monte Carlo study

1998 ◽  
Vol 58 (22) ◽  
pp. R14685-R14688 ◽  
Author(s):  
A. C. Cosentini ◽  
M. Capone ◽  
L. Guidoni ◽  
G. B. Bachelet
Keyword(s):  
Monte Carlo ◽  
Phase Separation ◽  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Fixed Node

scholarly journals Striped phases in the two-dimensional Hubbard model with long-range Coulomb interaction

1998 ◽  
Vol 58 (20) ◽  
pp. 13506-13509 ◽  
Author(s):  
G. Seibold ◽  
C. Castellani ◽  
C. Di Castro ◽  
M. Grilli
Keyword(s):  
Hubbard Model ◽  
Long Range ◽  
Coulomb Interaction ◽  
Two Dimensional ◽  
Striped Phases
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