Decay of fermionic quasiparticles in one-dimensional quantum liquids
Decay of fermionic quasiparticles in one-dimensional quantum liquids
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一维量子液体中费米子准粒子的衰变
DOI：
10.1103/physrevlett.111.256401
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发表时间：
2014
影响因子：
8.6
通讯作者：
K. A. Mattveev and A. Furusaki
中科院分区：
文献类型：
--
作者：
Hideaki Obuse;Shinsei Ryu;Akira Furusaki;and Christopher Mudry;K. A. Mattveev and A. Furusaki
一维量子液体的低能性质通常用Tomonaga-Luttinger液体理论来描述，其中元激发是自由玻色子。在这种近似下，理论可以用自由费米子来替代。在这两种方法中，小扰动引起有限的激发寿命。我们评估的费米激发的衰减率，并表明它的规模作为第八权力的能量，相比之下，玻色子激发的衰减快得多。我们的结果可以通过测量密度结构因子或谱函数中幂律特征的加宽来进行实验测试。
The low-energy properties of one-dimensional quantum liquids are commonly described in terms of the Tomonaga-Luttinger liquid theory, in which the elementary excitations are free bosons. To this approximation, the theory can be alternatively recast in terms of free fermions. In both approaches, small perturbations give rise to finite lifetimes of excitations. We evaluate the decay rate of fermionic excitations and show that it scales as the eighth power of energy, in contrast to the much faster decay of bosonic excitations. Our results can be tested experimentally by measuring the broadening of power-law features in the density structure factor or spectral functions.