Quantum criticality of one-dimensional multicomponent Fermi gas with strongly attractive interaction
Quantum criticality of one-dimensional multicomponent Fermi gas with strongly attractive interaction
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DOI：
10.1088/1751-8113/48/1/015002
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发表时间：
2014-06
期刊：
影响因子：
--
通讯作者：
P. He;Yuzhu Jiang;X. Guan;Jinyu He
中科院分区：
文献类型：
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作者：
P. He;Yuzhu Jiang;X. Guan;Jinyu He
SU（3）强吸引费米气体的量子临界性通过热力学Bethe Answer（TBA）方程研究一维对称性。由化学势驱动的相变？>，有效磁场H1，H2（化学势偏置）进行了分析。通过零温极限下的TBA方程解析确定了相图和临界场。对于强相互作用气体，也得到了高精度的状态方程和标度函数。动态指数z = 2？>相关长度指数= 1 / 2？>读出通用比例表。结果表明，三组分气体的量子临界性涉及一个团簇态、两个或三个团簇态的态密度突变。一般来说，这种方法可以用来处理SU（N）？>对称性
Quantum criticality of strongly attractive Fermi gas with SU ( 3 ) ?> symmetry in one dimension is studied via the thermodynamic Bethe ansatz (TBA) equations. The phase transitions driven by the chemical potential ?> , effective magnetic field H1, H2 (chemical potential biases) are analyzed at the quantum criticality. The phase diagram and critical fields are analytically determined by the TBA equations in the zero temperature limit. High accurate equations of state, scaling functions are also obtained analytically for the strong interacting gases. The dynamic exponent z = 2 ?> and correlation length exponent = 1 / 2 ?> read off the universal scaling form. It turns out that the quantum criticality of the three-component gases involves a sudden change of density of states of one cluster state, two or three cluster states. In general, this method can be adapted to deal with the quantum criticality of multicomponent Fermi gases with SU ( N ) ?> symmetry.