Bosonization predicts that the specific heat $C(T)$ of a one-dimensional interacting Fermi system is a sum of the specific heats of free collective charge and spin excitations, plus the term with the running backscattering amplitude which flows to zero logarithmically with decreasing $T$ . We verify whether this result is reproduced in the $g$ -ology model. Of specific interest are the anomalous terms in $C(T)$ that depend on the bare backscattering amplitude. We show that these terms can be incorporated into a renormalized spin velocity. We do this by proving the equivalence of the results for $C(T)$ obtained within the $g$ -ology model and by bosonization with velocities obtained by the numerical solution of the Bethe-ansatz equations for the Hubbard model.Bosonization predicts that the specific heat $C(T)$ of a one-dimensional interacting Fermi system is a sum of the specific heats of free collective charge and spin excitations, plus the term with the running backscattering amplitude which flows to zero logarithmically with decreasing $T$. We verify whether this result is reproduced in the $g$-ology model. Of specific interest are the anomalous terms in $C(T)$ that depend on the bare backscattering amplitude. We show that these terms can be incorporated into a renormalized spin velocity. We do this by proving the equivalence of the results for $C(T)$ obtained within the $g$-ology model and by bosonization with velocities obtained by the numerical solution of the Bethe-ansatz equations for the Hubbard model.

arXiv:0801.1837Physical Review BApr 14, 20084 citations

Magnetic response in a one-dimensional attractive interacting system with extended Fermi surface

Sujit Sarkar

We study the effect of the magnetic field in a one-dimensional attractive interacting system with an extended Fermi surface. By the application of Abelian bosonization, we are able to show that elementary excitations in different regions of momentum space behave differently. There is evidence of a mixed phase. The system possess a paramagnetic gapless excitation in the presence of an infinitesimal magnetic field, though the system has a spin gap. We calculate the susceptibilities at different regions of momentum space. We also discuss the effect of finite temperature, and the interesting behavior of the spin component of the specific heat.We study the effect of the magnetic field in a one-dimensional attractive interacting system with an extended Fermi surface. By the application of Abelian bosonization, we are able to show that elementary excitations in different regions of momentum space behave differently. There is evidence of a mixed phase. The system possess a paramagnetic gapless excitation in the presence of an infinitesimal magnetic field, though the system has a spin gap. We calculate the susceptibilities at different regions of momentum space. We also discuss the effect of finite temperature, and the interesting behavior of the spin component of the specific heat.

Physical review. B, Condensed matterApr 10, 20010 citations

Non-Fermi Behavior of the Strongly Correlated Electron Systems

Cătălin Paşcu Moca

(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

Bosonization predicts that the specific heat

C(T)

of a one-dimensional interacting Fermi system is a sum of the specific heats of free collective charge and spin excitations, plus the term with the running backscattering amplitude which flows to zero logarithmically with decreasing

T

. We verify whether this result is reproduced in the

g

-ology model. Of specific interest are the anomalous terms in

C(T)

that depend on the bare backscattering amplitude. We show that these terms can be incorporated into a renormalized spin velocity. We do this by proving the equivalence of the results for

C(T)

obtained within the

g

-ology model and by bosonization with velocities obtained by the numerical solution of the Bethe-ansatz equations for the Hubbard model.

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.