We discuss the orbital part of the magnetic susceptibility ${\mathrm{\ensuremath{\chi}}}_{\mathit{d}}$ of the doped Mott insulator in two dimensions. Starting from the U(1) gauge theory, we obtain corrections to ${\mathrm{\ensuremath{\chi}}}_{\mathit{d}}$ due to gauge-field fluctuations. We find that these fluctuations reduce the Bose contribution to the susceptibility, implying that the Bose-condensation temperature is strongly suppressed by gauge interactions. The temperature dependence of ${\mathrm{\ensuremath{\chi}}}_{\mathit{d}}$ is obtained by a numerical simulation of a lattice Bose gas interacting with a random magnetic field, and found to be consistent with recent data on high- ${\mathit{T}}_{\mathit{c}}$ oxides.We discuss the orbital part of the magnetic susceptibility ${\mathrm{\ensuremath{\chi}}}_{\mathit{d}}$ of the doped Mott insulator in two dimensions. Starting from the U(1) gauge theory, we obtain corrections to ${\mathrm{\ensuremath{\chi}}}_{\mathit{d}}$ due to gauge-field fluctuations. We find that these fluctuations reduce the Bose contribution to the susceptibility, implying that the Bose-condensation temperature is strongly suppressed by gauge interactions. The temperature dependence of ${\mathrm{\ensuremath{\chi}}}_{\mathit{d}}$ is obtained by a numerical simulation of a lattice Bose gas interacting with a random magnetic field, and found to be consistent with recent data on high-${\mathit{T}}_{\mathit{c}}$ oxides.

Physical review. B, Condensed matterJul 1, 199133 citations

Magnetic susceptibility of a one-dimensional Fermion-system

H. U. Everts, Wolfram Koch

Springer eBooksOct 29, 20050 citations

Multichannel Kondo effect in an interacting electron system: Exact results for the low-temperature thermodynamics

Mats Granath, Henrik Johannesson

We study the low-temperature thermodynamics of a spin- $S$ magnetic impurity coupled to $m>~2$ degenerate bands of interacting electrons in one dimension. By exploiting boundary-conformal-field-theory techniques, we derive exact results for the possible impurity thermal and magnetic response. The leading behavior of the impurity magnetic susceptibility is shown to be insensitive to the electron-electron interaction. In contrast, there are two types of scaling behavior of the impurity specific heat consistent with the symmetries of the problem: Either it remains the same as for the ordinary multichannel Kondo problem for noninteracting electrons or it acquires a new leading term governed by a critical exponent ${\ensuremath{\alpha}}_{m}{=(g}_{m}^{\ensuremath{-}1}\ensuremath{-}1)/m,$ where ${g}_{m}<~1$ is a generalized ( $m$ channel) Luttinger-liquid charge parameter measuring the strength of the repulsive electron-electron interaction. We conjecture that the latter behavior is indeed realized when the impurity is exactly screened $(m=2S).$ We study the low-temperature thermodynamics of a spin-$S$ magnetic impurity coupled to $m>~2$ degenerate bands of interacting electrons in one dimension. By exploiting boundary-conformal-field-theory techniques, we derive exact results for the possible impurity thermal and magnetic response. The leading behavior of the impurity magnetic susceptibility is shown to be insensitive to the electron-electron interaction. In contrast, there are two types of scaling behavior of the impurity specific heat consistent with the symmetries of the problem: Either it remains the same as for the ordinary multichannel Kondo problem for noninteracting electrons or it acquires a new leading term governed by a critical exponent ${\ensuremath{\alpha}}_{m}{=(g}_{m}^{\ensuremath{-}1}\ensuremath{-}1)/m,$ where ${g}_{m}<~1$ is a generalized ($m$ channel) Luttinger-liquid charge parameter measuring the strength of the repulsive electron-electron interaction. We conjecture that the latter behavior is indeed realized when the impurity is exactly screened $(m=2S).$

arXiv:cond-mat/9710158Physical review. B, Condensed matterJan 1, 199813 citations

Spin magnetic susceptibility in the two-dimensional Hubbard model

Francesco Paolo Mancini, S. Marra, H. Matsumoto

Physica C SuperconductivityOct 1, 199538 citations

Theory of diamagnetic susceptibility of interacting electrons in solids

S.P. Mohanty, P. K. Misra

Physics Letters AJun 1, 19743 citations

{\mathit{T}}_{\mathit{c}}

oxides.

We study the low-temperature thermodynamics of a spin-

S

magnetic impurity coupled to

m>~2

degenerate bands of interacting electrons in one dimension. By exploiting boundary-conformal-field-theory techniques, we derive exact results for the possible impurity thermal and magnetic response. The leading behavior of the impurity magnetic susceptibility is shown to be insensitive to the electron-electron interaction. In contrast, there are two types of scaling behavior of the impurity specific heat consistent with the symmetries of the problem: Either it remains the same as for the ordinary multichannel Kondo problem for noninteracting electrons or it acquires a new leading term governed by a critical exponent ${\ensuremath{\alpha}}_{m}{=(g}_{m}^{\ensuremath{-}1}\ensuremath{-}1)/m,$ where

{g}_{m}<~1

is a generalized (

m

channel) Luttinger-liquid charge parameter measuring the strength of the repulsive electron-electron interaction. We conjecture that the latter behavior is indeed realized when the impurity is exactly screened

(m=2S).