(1) The temperature dependence of the specific heat for a marginal Fermi liquid has been calculated. (2) We calculated the self-energy at T=0 for a two dimensional fermionic system with hyperbolic dispersion. The existence of the saddle points in the energy gives rise to a marginal behavior. (3) We showed that the two-dimensional fermionic system with the energy $ε_{\mathbf{k}}=k_xk_y$ has a non-Fermi behavior. (4) The electronic self-energy due to the electron-spin interaction is calculated for a two dimensional system. (5) We study the influence of the amplitude fluctuations of a non-Fermi superconductor on the energy spectrum of the two-dimensional Anderson non-Fermi system. (6) Using the field-theoretical methods we studied the evolution from BCS theory to Bose-Einstein condensation (BEC) for a non-Fermi system. (7) Using the renormalization group approach proposed by Millis we calculated the specific heat coefficient $γ(T)$ for the magnetic fluctuations with susceptibility $χ^{-1}\sim δ^α+| ω| ^α+f(q)$ near a Lifshitz point.(1) The temperature dependence of the specific heat for a marginal Fermi liquid has been calculated. (2) We calculated the self-energy at T=0 for a two dimensional fermionic system with hyperbolic dispersion. The existence of the saddle points in the energy gives rise to a marginal behavior. (3) We showed that the two-dimensional fermionic system with the energy $ε_{\mathbf{k}}=k_xk_y$ has a non-Fermi behavior. (4) The electronic self-energy due to the electron-spin interaction is calculated for a two dimensional system. (5) We study the influence of the amplitude fluctuations of a non-Fermi superconductor on the energy spectrum of the two-dimensional Anderson non-Fermi system. (6) Using the field-theoretical methods we studied the evolution from BCS theory to Bose-Einstein condensation (BEC) for a non-Fermi system. (7) Using the renormalization group approach proposed by Millis we calculated the specific heat coefficient $γ(T)$ for the magnetic fluctuations with susceptibility $χ^{-1}\sim δ^α+| ω| ^α+f(q)$ near a Lifshitz point.

arXiv:cond-mat/9911330Nov 21, 19990 citations

Stability of marginal fermi liquid

Ranjan Chaudhury, J. P. Ćarbotte

Solid State CommunicationsMar 1, 19932 citations

Non-Fermi Liquid Behavior in the Three-Dimensional Hubbard Model

Samuel Kellar, Ka-Ming Tam, Juana Moreno

We present a numerical study on the non-Fermi liquid behavior of a three-dimensional strongly correlated system. The Hubbard model in a simple cubic lattice is simulated by the dynamical cluster approximation; in particular, the quasi-particle weight is calculated at finite dopings for a range of temperatures. By fitting the quasi-particle weight to the marginal Fermi liquid form at finite doping near the putative quantum critical point, we find evidence of a separatrix between Fermi liquid and non-Fermi liquid regions. Our results suggest that a marginal Fermi liquid and possibly a quantum critical point exist in the non-symmetry broken solution of the three-dimensional interacting electron systems. We also calculate the spectral function, close to the half-filling, and we obtain evidence of pseudogap.We present a numerical study on the non-Fermi liquid behavior of a three-dimensional strongly correlated system. The Hubbard model in a simple cubic lattice is simulated by the dynamical cluster approximation; in particular, the quasi-particle weight is calculated at finite dopings for a range of temperatures. By fitting the quasi-particle weight to the marginal Fermi liquid form at finite doping near the putative quantum critical point, we find evidence of a separatrix between Fermi liquid and non-Fermi liquid regions. Our results suggest that a marginal Fermi liquid and possibly a quantum critical point exist in the non-symmetry broken solution of the three-dimensional interacting electron systems. We also calculate the spectral function, close to the half-filling, and we obtain evidence of pseudogap.

CrystalsJan 6, 20232 citations

Marginal Fermi liquid in a lattice of three-body bound states

A. F. Ho, Piers Coleman

We study a lattice model for marginal Fermi-liquid behavior, involving a gas of electrons coupled to a dense lattice of three-body bound states. The presence of the bound states changes the phase space for electron-electron scattering and induces a marginal self-energy among the electron gas. When the three-body bound states are weakly coupled to the electron gas, there is a substantial window for marginal Fermi-liquid behavior and in this regime, the model displays the presence of two relaxation times, one linear, one quadratic in the temperature. At low temperatures the bound states develop coherence, leading to a crossover to conventional Fermi-liquid behavior. At strong coupling, marginal Fermi-liquid behavior is preempted by a pairing or magnetic instability, and it is not possible to produce a linear scattering rate comparable with the temperature. We discuss the low-temperature instabilities of this model and compare it to the Hubbard model at half filling.We study a lattice model for marginal Fermi-liquid behavior, involving a gas of electrons coupled to a dense lattice of three-body bound states. The presence of the bound states changes the phase space for electron-electron scattering and induces a marginal self-energy among the electron gas. When the three-body bound states are weakly coupled to the electron gas, there is a substantial window for marginal Fermi-liquid behavior and in this regime, the model displays the presence of two relaxation times, one linear, one quadratic in the temperature. At low temperatures the bound states develop coherence, leading to a crossover to conventional Fermi-liquid behavior. At strong coupling, marginal Fermi-liquid behavior is preempted by a pairing or magnetic instability, and it is not possible to produce a linear scattering rate comparable with the temperature. We discuss the low-temperature instabilities of this model and compare it to the Hubbard model at half filling.

arXiv:cond-mat/9801004Physical review. B, Condensed matterAug 15, 19986 citations

ε_{\mathbf{k}}=k_xk_y

has a non-Fermi behavior. (4) The electronic self-energy due to the electron-spin interaction is calculated for a two dimensional system. (5) We study the influence of the amplitude fluctuations of a non-Fermi superconductor on the energy spectrum of the two-dimensional Anderson non-Fermi system. (6) Using the field-theoretical methods we studied the evolution from BCS theory to Bose-Einstein condensation (BEC) for a non-Fermi system. (7) Using the renormalization group approach proposed by Millis we calculated the specific heat coefficient

γ(T)

for the magnetic fluctuations with susceptibility

χ^{-1}\sim δ^α+| ω| ^α+f(q)

near a Lifshitz point.