Coulomb analogy for non-hermitian degeneracies near quantum phase transitions

被引：75
作者：
Cejnar, Pavel
Heinze, Stefan
Macek, Michal
机构：
[1] Charles Univ Prague, Fac Math & Phys, Inst Nucl & Particle Phys, CR-18000 Prague, Czech Republic
[2] European Ctr Theoret Studies, Nucl Phys & Related Areas, I-38050 Trento, Italy
[3] Univ Cologne, Inst Nucl Phys, D-50937 Cologne, Germany
来源：
PHYSICAL REVIEW LETTERS | 2007年 / 99卷 / 10期
关键词：
D O I：
10.1103/PhysRevLett.99.100601
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Degeneracies near the real axis in a complex-extended parameter space of a Hermitian Hamiltonian are studied. We present a method to measure distributions of such degeneracies on the Riemann sheet of a selected level and apply it in classification of quantum phase transitions. The degeneracies are shown to behave similarly as complex zeros of a partition function.
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