scholarly journals Comparing different density-matrix expansions for long-range pion exchange

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
L. Zurek ◽  
E. A. Coello Pérez ◽  
S. K. Bogner ◽  
R. J. Furnstahl ◽  
A. Schwenk
Keyword(s):  
Density Matrix ◽  
Long Range ◽  
Pion Exchange

scholarly journals Off-Diagonal Long-Range Order in Generalized Hubbard Models

1997 ◽  
Vol 11 (11) ◽  
pp. 1311-1335 ◽  
Author(s):  
Kristel Michielsen ◽  
Hans De Raedt
Keyword(s):  
Density Matrix ◽  
Hubbard Model ◽  
Long Range ◽  
Ground State ◽  
Size Dependence ◽  
State Energy ◽  
System Size ◽  
Range Order ◽  
Long Range Order ◽  
Hubbard Models

We present stochastic diagonalization results for the ground-state energy and the largest eigenvalue of the two-fermion density matrix of the BCS reduced Hamiltonian, the Hubbard model, and the Hubbard model with correlated hopping. The system-size dependence of this eigenvalue is used to study the existence of Off-Diagonal Long-Range Order in these models. We show that the model with correlated hopping and repulsive on-site interaction can exhibit Off-Diagonal Long-Range Order. Analytical results for some special limiting cases indicate that Off-Diagonal Long-Range Order not always implies superconductivity.

Long-range corrected density functional through the density matrix expansion based semilocal exchange hole

2018 ◽  
Vol 20 (13) ◽  
pp. 8991-8998 ◽  
Author(s):  
Bikash Patra ◽  
Subrata Jana ◽  
Prasanjit Samal
Keyword(s):  
Density Matrix ◽  
Long Range ◽  
Density Functional ◽  
Functional Formalism ◽  
Matrix Expansion ◽  
Hybrid Functionals

The exchange hole, which is one of the principal constituents of the density functional formalism, can be used to design accurate range-separated hybrid functionals in association with appropriate correlation.

scholarly journals Correction: Long-range corrected density functional through the density matrix expansion based semilocal exchange hole

2019 ◽  
Vol 21 (39) ◽  
pp. 22158-22158
Author(s):  
Bikash Patra ◽  
Subrata Jana ◽  
Prasanjit Samal
Keyword(s):  
Density Matrix ◽  
Long Range ◽  
Density Functional ◽  
Chem Phys ◽  
Matrix Expansion ◽  
Phys Chem Chem Phys

Correction for ‘Long-range corrected density functional through the density matrix expansion based semilocal exchange hole’ by Bikash Patra et al., Phys. Chem. Chem. Phys., 2018, 20, 8991–8998.

Sign in / Sign up

Export Citation Format

Share Document