Correlation Effects on Adatoms: The Self-Consistent T-Matrix Approximation

1980 ◽  
Vol 97 (1) ◽  
pp. K57-K60 ◽  
Author(s):  
V. Drchal ◽  
J. Kudrnovský
Keyword(s):  
The Self ◽  
Matrix Approximation ◽  
Correlation Effects ◽  
Self Consistent ◽  
T Matrix

Pseudogap Induced by the SC Fluctuation: Higher Order Correction Beyond the T-Matrix Approximation

2003 ◽  
Vol 17 (18n20) ◽  
pp. 3594-3597 ◽  
Author(s):  
Y. Yanase
Keyword(s):  
Higher Order ◽  
The Self ◽  
Order Correction ◽  
Vertex Correction ◽  
Matrix Approach ◽  
Matrix Approximation ◽  
Self Consistent ◽  
T Matrix ◽  
Superconducting Fluctuation

We discuss the pseudogap phenomena in High-T c superconductors. The superconducting fluctuation is taken into account as an origin of the pseudogap. Then, the T-matrix approach has been widely used. We report a development along this line. The higher order correction, which is important to capture the effects of the SC fluctuation more precisely, is investigated. It is shown that the vertex correction, which is not included in the self-consistent T-matrix approximation, enhances the pseudogap.

Momentum distribution and the universal contact of a unitary Fermi gas with particle-hole fluctuation

2018 ◽  
Vol 32 (21) ◽  
pp. 1850249 ◽  
Author(s):  
Xiao-Xia Ruan ◽  
Hao Gong ◽  
Zheng-Ling Wang ◽  
Hong-Shi Zong
Keyword(s):  
Experimental Data ◽  
Momentum Distribution ◽  
Fermi Gas ◽  
Normal Phase ◽  
Large Momentum ◽  
Matrix Approximation ◽  
Self Consistent ◽  
Theoretical Predictions ◽  
Unitary Fermi Gas ◽  
T Matrix

We compute the momentum distribution of a homogeneous Fermi gas at unitarity in the normal phase within the framework of the non-self-consistent T-matrix approximation with particle-hole fluctuation. From the large-momentum behavior of momentum distribution, we obtain the contact for the unitary Fermi gas. We also compare our results with experimental data and other theoretical predictions.

The energy of a unitary Fermi gas in the normal phase including the effect of induced interaction

2015 ◽  
Vol 29 (32) ◽  
pp. 1550207 ◽  
Author(s):  
Hao Gong ◽  
Xiao-Xia Ruan ◽  
Hou-Rong Pang ◽  
Hong-Shi Zong
Keyword(s):  
Experimental Data ◽  
Chemical Potential ◽  
Normal Phase ◽  
Fermi Gases ◽  
Matrix Approximation ◽  
Ultracold Fermi Gases ◽  
Self Consistent ◽  
Unitary Fermi Gas ◽  
T Matrix ◽  
Good Agreement

In this paper, taking into account the effect of the induced interaction, we calculate the energy of ultracold Fermi gases at unitarity in the framework of non-self-consistent T-matrix approximation (nTMA) above the critical temperature and compare the result with the experimental data and other theoretical calculation without induced interaction. Our calculated chemical potential is higher than the experimental data, but our calculated energy obtains a good agreement with Tokyo experiment for temperature range between [Formula: see text] and [Formula: see text].

The pressure and entropy of a unitary Fermi gas with particle-hole fluctuation

2018 ◽  
Vol 32 (01) ◽  
pp. 1750364
Author(s):  
Hao Gong ◽  
Xiao-Xia Ruan ◽  
Hong-Shi Zong
Keyword(s):  
Experimental Data ◽  
Fermi Gas ◽  
Experimental Measurements ◽  
Matrix Approximation ◽  
Self Consistent ◽  
Unitary Fermi Gas ◽  
T Matrix ◽  
Theoretical Results ◽  
Previous Prediction ◽  
Good Agreement

We calculate the pressure and entropy of a unitary Fermi gas based on universal relations combined with our previous prediction of energy which was calculated within the framework of the non-self-consistent T-matrix approximation with particle-hole fluctuation. The resulting entropy and pressure are compared with the experimental data and the theoretical results without induced interaction. For entropy, we find good agreement between our results with particle-hole fluctuation and the experimental measurements reported by ENS group and MIT experiment. For pressure, our results suffer from a systematic upshift compared to MIT data.

SELF-CONSISTENT T-MATRIX APPROXIMATION TO THE HUBBARD MODEL FOR A FINITE NUMBER OF SITES

2009 ◽  
Vol 23 (16) ◽  
pp. 2049-2062
Author(s):  
MOHSEN JEMAÏ
Keyword(s):  
Finite Number ◽  
Hubbard Model ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Fermi Gas ◽  
Phase Approximation ◽  
Matrix Approximation ◽  
Numerical Effort ◽  
Self Consistent ◽  
T Matrix

Within the 1D Hubbard model, linear closed chains with various numbers of sites are considered in particle–particle self-consistent random phase approximation (SCRPA) for the T-matrix. Encouraging results with a minimal numerical effort are obtained, confirming earlier results with this theory for other models. SCRPA solves the two-site problem exactly. It therefore contains the two electrons and high density Fermi gas limits correctly.

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