We study a two-dimensional electron system in a magnetic field with a fermion hard-core interaction and without disorder. Projecting the Hamiltonian onto the nth Landau level, we show that the Hartree-Fock theory is exact in the limit n\ensuremath{\rightarrow}\ensuremath{\infty}, for the high-temperature, uniform density phase of an infinite system; for a finite-size system, it is exact at all temperatures. In addition, we show that a charge-density wave arises below a transition temperature ${\mathit{T}}_{\mathit{t}}$ . Using Landau theory, we construct a phase diagram which contains both unidirectional and triangular charge-density wave phases. We discuss the unidirectional charge-density wave at zero temperature and argue that quantum fluctuations are unimportant in the large-n limit. Finally, we discuss the accuracy of the Hartree-Fock approximation for potentials with a nonzero range such as the Coulomb interaction. \textcopyright{} 1996 The American Physical Society.We study a two-dimensional electron system in a magnetic field with a fermion hard-core interaction and without disorder. Projecting the Hamiltonian onto the nth Landau level, we show that the Hartree-Fock theory is exact in the limit n\ensuremath{\rightarrow}\ensuremath{\infty}, for the high-temperature, uniform density phase of an infinite system; for a finite-size system, it is exact at all temperatures. In addition, we show that a charge-density wave arises below a transition temperature ${\mathit{T}}_{\mathit{t}}$. Using Landau theory, we construct a phase diagram which contains both unidirectional and triangular charge-density wave phases. We discuss the unidirectional charge-density wave at zero temperature and argue that quantum fluctuations are unimportant in the large-n limit. Finally, we discuss the accuracy of the Hartree-Fock approximation for potentials with a nonzero range such as the Coulomb interaction. \textcopyright{} 1996 The American Physical Society.

arXiv:cond-mat/9606177Physical review. B, Condensed matterAug 15, 1996358 citations

Finite-Temperature Hartree-Fock Method for Fermionic Systems

Fabrizio Tafuri, C. A. Perroni, G. De Filippis

UNITEXT for physicsJan 1, 20260 citations

Accuracy of pairing theory for a trapped magnetic dipole fermion gas

M. Tohyama

Pairing properties of a trapped fermion gas consisting of atoms with magnetic dipole moment are studied using the Hartree–Fock–Bogoliubov theory (HFB) and the results are compared with those obtained from the exact diagonalization approach (EDA). It is shown that HFB underestimates two-body correlations and gives quite different atom–atom correlations than the results in EDA. Extended time-dependent HFB (ETDHFB), which is derived from the truncation of equations of motion for reduced density matrices, is also applied and it is found that the difficulties of HFB can be remedied by ETDHFB.Pairing properties of a trapped fermion gas consisting of atoms with magnetic dipole moment are studied using the Hartree–Fock–Bogoliubov theory (HFB) and the results are compared with those obtained from the exact diagonalization approach (EDA). It is shown that HFB underestimates two-body correlations and gives quite different atom–atom correlations than the results in EDA. Extended time-dependent HFB (ETDHFB), which is derived from the truncation of equations of motion for reduced density matrices, is also applied and it is found that the difficulties of HFB can be remedied by ETDHFB.

Progress of Theoretical and Experimental PhysicsFeb 1, 20160 citations

Hartree-Fock variational method for fermions

Luca Salasnich

Springer eBooksJan 1, 20200 citations

Hartree-Fock states in the thermodynamic limit. III. Low-density clustering effects

L. Döhnert, MANUEL DE LLANO, Angelo Plastino

We present an orthonormal set of single-particle orbital functions explicitly satisfying the Hartree-Fock (HF) equations for occupied states, and which give low-density few-particle clustering effects in a many-fermion system. The initial study given here is in one and three dimensions for attractive $\ensuremath{\delta}$ pair interactions. In one dimension the numerical results compare favorably with the exact (lowest) HF state at zero density. The results turn out to be superior to the classic Overhauser HF orbitals, as well as to some more recent ones.We present an orthonormal set of single-particle orbital functions explicitly satisfying the Hartree-Fock (HF) equations for occupied states, and which give low-density few-particle clustering effects in a many-fermion system. The initial study given here is in one and three dimensions for attractive $\ensuremath{\delta}$ pair interactions. In one dimension the numerical results compare favorably with the exact (lowest) HF state at zero density. The results turn out to be superior to the classic Overhauser HF orbitals, as well as to some more recent ones.

Physical Review AFeb 1, 197814 citations

{\mathit{T}}_{\mathit{t}}

. Using Landau theory, we construct a phase diagram which contains both unidirectional and triangular charge-density wave phases. We discuss the unidirectional charge-density wave at zero temperature and argue that quantum fluctuations are unimportant in the large-n limit. Finally, we discuss the accuracy of the Hartree-Fock approximation for potentials with a nonzero range such as the Coulomb interaction. \textcopyright{} 1996 The American Physical Society.