Effective gauge-field theory of the t-J model in the charge-spin separated state and its transport properties
Effective gauge-field theory of the t-J model in the charge-spin separated state and its transport properties
复制标题
电荷自旋分离态t-J模型的有效规范场理论及其输运特性
DOI：
10.1103/physrevb.64.104516
复制
发表时间：
2001
影响因子：
3.7
通讯作者：
M. Onoda
中科院分区：
文献类型：
--
作者：
I. Ichinose;T. Matsui;M. Onoda
We study the slave-boson $t\ensuremath{-}J$ model of cuprates with high superconducting transition temperatures, and derive its low-energy effective field theory for the charge-spin separated state in a self-consistent manner. The phase degrees of freedom of the mean field for hoppings of holons and spinons can be regarded as a U(1) gauge field, ${A}_{i}.$ The charge-spin separation occurs below a certain temperature, ${T}_{\mathrm{CSS}},$ as a deconfinement phenomenon of the dynamics of ${A}_{i}.$ Below a certain temperature ${T}_{\mathrm{SG}}(l{T}_{\mathrm{CSS}}),$ the spin-gap phase develops as the Higgs phase of the gauge-field dynamics, and ${A}_{i}$ acquires a mass ${m}_{A}.$ The effective field theory near ${T}_{\mathrm{SG}}$ takes the form of a Ginzburg-Landau theory of a complex scalar field $\ensuremath{\lambda}$ coupled with ${A}_{i},$ where $\ensuremath{\lambda}$ represents d-wave pairings of spinons. Three dimensionality of the system is crucial to realize a phase transition at ${T}_{\mathrm{SG}}.$ By using this field theory, we calculate the dc resistivity $\ensuremath{\rho}.$ At $Tg{T}_{\mathrm{SG}},$ $\ensuremath{\rho}$ is proportional to T. At $Tl{T}_{\mathrm{SG}},$ it deviates downward from the T-linear behavior as $\ensuremath{\rho}\ensuremath{\propto}T{1\ensuremath{-}{c(T}_{\mathrm{SG}}\ensuremath{-}{T)}^{d}}.$ When the system is near (but not) two dimensional, due to the compactness of the phase of the field $\ensuremath{\lambda},$ the exponent d deviates from its mean-field value $1/2$ and becomes a nonuniversal quantity which depends on temperature and doping. This significantly improves the comparison with the experimental data.
We study the slave-boson $t\ensuremath{-}J$ model of cuprates with high superconducting transition temperatures, and derive its low-energy effective field theory for the charge-spin separated state in a self-consistent manner. The phase degrees of freedom of the mean field for hoppings of holons and spinons can be regarded as a U(1) gauge field, ${A}_{i}.$ The charge-spin separation occurs below a certain temperature, ${T}_{\mathrm{CSS}},$ as a deconfinement phenomenon of the dynamics of ${A}_{i}.$ Below a certain temperature ${T}_{\mathrm{SG}}(l{T}_{\mathrm{CSS}}),$ the spin-gap phase develops as the Higgs phase of the gauge-field dynamics, and ${A}_{i}$ acquires a mass ${m}_{A}.$ The effective field theory near ${T}_{\mathrm{SG}}$ takes the form of a Ginzburg-Landau theory of a complex scalar field $\ensuremath{\lambda}$ coupled with ${A}_{i},$ where $\ensuremath{\lambda}$ represents d-wave pairings of spinons. Three dimensionality of the system is crucial to realize a phase transition at ${T}_{\mathrm{SG}}.$ By using this field theory, we calculate the dc resistivity $\ensuremath{\rho}.$ At $Tg{T}_{\mathrm{SG}},$ $\ensuremath{\rho}$ is proportional to T. At $Tl{T}_{\mathrm{SG}},$ it deviates downward from the T-linear behavior as $\ensuremath{\rho}\ensuremath{\propto}T{1\ensuremath{-}{c(T}_{\mathrm{SG}}\ensuremath{-}{T)}^{d}}.$ When the system is near (but not) two dimensional, due to the compactness of the phase of the field $\ensuremath{\lambda},$ the exponent d deviates from its mean-field value $1/2$ and becomes a nonuniversal quantity which depends on temperature and doping. This significantly improves the comparison with the experimental data.