Confinement-deconfinement transition in two coupled chains with umklapp scattering
Confinement-deconfinement transition in two coupled chains with umklapp scattering
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具有 umklapp 散射的两个耦合链中的约束-解除约束转变
DOI：
10.1103/physrevb.59.12326
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发表时间：
1999
影响因子：
3.7
通讯作者：
Y. Suzumura
中科院分区：
文献类型：
--
作者：
M. Tsuchiizu;Y. Suzumura
应用重整化群方法研究了具有正向和反向散射的双耦合链的umklapp散射的作用。研究发现，当umklapp散射的幅度大于链间跳变的幅度时，具有相关链间跳变的状态转变为不相关（受限）的状态。计算了这种约束-约束跃迁的umklapp散射临界值，并将其作为链间跳变和链内相互作用的函数。随着温度的降低，从一维状态过渡到耦合链状态。
A role of umklapp scattering has been examined for two-coupled chains with both forward and backward scattering by applying the renormalization group method to the bosonized Hamiltonian. It has been found that a state with relevant interchain hopping changes into a state with irrelevant (confined) one when the magnitude of umklapp scattering becomes larger than that of interchain hopping. The critical value of umklapp scattering for such a confinement-deconfinement transition is calculated as the function of interchain hopping and intrachain interactions. A crossover from one-dimensional regime into that of coupled chains is also shown with decreasing temperature.