Renormalization Group Analysis of Quantum Critical Points in d-WAVE Superconductors

Renormalization Group Analysis of Quantum Critical Points in d-WAVE Superconductors
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DOI:
10.1142/s0217979200004271
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发表时间:
2000-08
影响因子:
1.7
通讯作者:
M. Vojta;Ying Zhang;S. Sachdev
M. Vojta;Ying Zhang;S. Sachdev
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
M. Vojta;Ying Zhang;S. Sachdev

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我们描述了控制dx2-y2超导体和其他超导基态之间二阶量子相变的重整化群不动点的寻找。只有少数几个候选不动点被找到。在其中一些固定点的有限温度(T)量子临界区,费米子准粒子寿命很短,谱函数在费米点附近具有KBT量级的能量宽度。在相同条件下,导热系数在标度极限内是无穷大的。因此,我们提供了两维量子理论的简单、明确的例子,对于这些例子,纯粹的费米子准粒子的输运描述被严重违反了。
We describe a search for renormalization group fixed points which control a second-order quantum phase transition between a dx2-y2-superconductor and some other superconducting ground state. Only a few candidate fixed points are found. In the finite temperature (T) quantum-critical region of some of these fixed points, the fermion quasiparticle lifetime is very short and the spectral function has an energy width of order kBT near the Fermi points. Under the same conditions, the thermal conductivity is infinite in the scaling limit. We thus provide simple, explicit, examples of quantum theories in two dimensions for which a purely fermionic quasiparticle description of transport is badly violated.