Topological Order and its Quantum Phase transition Su-Peng Kou Beijing normal university Colla borators: X.G. Wen. Jing yu. m. levin
Topological Order and its Quantum Phase Transition Su-Peng Kou Beijing Normal university Collaborators: X. G. Wen, Jing Yu, M. Levin
Outline Introduction to topological orders Quantum phase transition for topological orders Conclusion and open questions
Outline ❖ Introduction to topological orders ❖ Quantum phase transition for topological orders ❖ Conclusion and open questions
Classical orders CDW、FM、AFM、 Crystal NbSe 2 Ferromagnetism Antiferromagnetism Charge density wave
Classical orders： CDW、FM、AFM、Crystal
The phase transition between different phases are always accompanied with symmetry breaking Landau Ferromagnet T< To ↑↑↑↑↑↑ Spin rotation symmetry breaking
The phase transition between different phases are always accompanied with symmetry breaking Spin rotation symmetry breaking!
序参量 液一气密度差,自发磁化强度,超导序参量,… Universal law for classical phase transitions 第一类相变 连续相变(临界现象) 'o The critical parameters between a classical continuous phase transition are determined by the dimension of the system and the degree freedom of the order parameters
❖ The critical parameters between a classical continuous phase transition are determined by the dimension of the system and the degree freedom of the order parameters. Universal law for classical phase transitions