3 papers
cond-mat.stat-mech2023
A local criterion of topological phase transitions
Yangfan Hu
A local criterion of topological phase transitions is established based on the Morse theory: a topological phase transition occurs when the count of Morse critical points of the or…
cond-mat.mes-hall2022
General theory of emergent elasticity for second-order topological phase transitions
Yangfan Hu
The raise of the symmetry breaking mechanism by Landau[1] is a landmark in the studies of phase transitions. The Kosterlitz-Thouless phase transition[2-3] and the fractional quantu…
nlin.PS2022
Skyrmion annihilation in helimagnets and the critical condition of topological phase transitions with a soft mode
Yangfan Hu
Since the 1950s, topological solitons have been used to describe elementary particles[1-3] and particle-like field configurations[4-13] that appear in almost all branches of physic…