Considering interacting (antiferromagnetically correlated) electrons, we derive a generalized Harper's equation in a mean-field approximation for a square lattice of infinite size. In the present study with the aid of a gap equation we explain the cause of the oscillatory behavior in staggered magnetization with the variation of an applied magnetic field for two-dimensional systems of antiferromagnetically correlated electrons. Exact diagonalization calculations on small clusters show additional evidence for the oscillatory behavior of staggered magnetization. We find that for systems of weakly correlated electrons both mean-field and exact diagonalization calculations yield an identical behavior in the propensity of diminishing staggered magnetization for even-denominator (but not for odd-denominator) values of q in the magnetic flux quanta per plaquette, i.e., $p/q.$ Considering interacting (antiferromagnetically correlated) electrons, we derive a generalized Harper's equation in a mean-field approximation for a square lattice of infinite size. In the present study with the aid of a gap equation we explain the cause of the oscillatory behavior in staggered magnetization with the variation of an applied magnetic field for two-dimensional systems of antiferromagnetically correlated electrons. Exact diagonalization calculations on small clusters show additional evidence for the oscillatory behavior of staggered magnetization. We find that for systems of weakly correlated electrons both mean-field and exact diagonalization calculations yield an identical behavior in the propensity of diminishing staggered magnetization for even-denominator (but not for odd-denominator) values of q in the magnetic flux quanta per plaquette, i.e., $p/q.$

Physical review. B, Condensed matterOct 1, 19994 citations

Functional approach to the local-field effects in interacting electron systems

Peter Streitenberger

Physics Letters ANov 1, 19845 citations

Electron Interaction in Metals

David Pines

Solid state physicsJan 1, 1955175 citations

Spin–spin correlation in some excited states of the transverse Ising model

Anjan Kumar Chandra, Subinay Dasgupta

We consider the transverse Ising model in one dimension with nearest neighbour interaction and calculate exactly the longitudinal spin–spin correlation for a class of excited states. These states are known to play an important role in the perturbative treatment of the one-dimensional transverse Ising model with frustrated second-neighbour interaction. To calculate the correlation, we follow the earlier procedure of Wu, use Szego's theorem and also use the Fisher–Hartwig conjecture. The result is that the correlation decays algebraically with distance ( n ) as 1/√ n and is oscillatory or non-oscillatory depending on the magnitude of the transverse field.We consider the transverse Ising model in one dimension with nearest neighbour interaction and calculate exactly the longitudinal spin–spin correlation for a class of excited states. These states are known to play an important role in the perturbative treatment of the one-dimensional transverse Ising model with frustrated second-neighbour interaction. To calculate the correlation, we follow the earlier procedure of Wu, use Szego's theorem and also use the Fisher–Hartwig conjecture. The result is that the correlation decays algebraically with distance ( n ) as 1/√ n and is oscillatory or non-oscillatory depending on the magnitude of the transverse field.

arXiv:0704.1718Journal of Physics A Mathematical and TheoreticalApr 30, 20072 citations

Electron–Electron Interaction and Correlations

Jenő Sólyom

Springer eBooksJan 1, 20101 citation

Adiabatic Evolution of Coherent States of a One-Dimensional Electron

Hui Meng

By using an analytical method,exact solutions of the equation for a single tapped electron adiabatically interacting with an external field is obtained.Such exact solutions describe a series of exact squeezed coherent states of this quantum system,whose configuration of probability density is breathing and oscillatory wave-packets.The time evolutions of the expectation of coordinate,momentum and energy are greatly affected by the adiabatic factor in a time interval.Therefore,manipulation of quantum state can be realized by suitably adjusting adiabatic parameters.By using an analytical method,exact solutions of the equation for a single tapped electron adiabatically interacting with an external field is obtained.Such exact solutions describe a series of exact squeezed coherent states of this quantum system,whose configuration of probability density is breathing and oscillatory wave-packets.The time evolutions of the expectation of coordinate,momentum and energy are greatly affected by the adiabatic factor in a time interval.Therefore,manipulation of quantum state can be realized by suitably adjusting adiabatic parameters.

Hu'nan Shifan Daxue xuebao. Ziran kexue banJan 1, 20090 citations

p/q.