30 citations · 98 across the 14 of their papers we have counts for
14 papers
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…
Thermodynamics and elasticity of emergent crystals
Yangfan Hu, Xuejin Wan
Periodic field patterns of atoms and their charges/spins/orbits emerge in crystals, forming novel states of matter called emergent crystals (ECs). In recent years, they are observe…
Lagrangian formulation for emergent elastic waves in magnetic emergent crystals
Yangfan Hu
Magnetic emergent crystals are periodic alignment of "particle-like" spin textures that emerge in magnets. Instead of focusing on an individual spin or a macroscopic magnetization…
Long-wavelength emergent phonons in skyrmion crystals distorted by exchange anisotropy and tilted magnetic fields
Yangfan Hu
Skyrmion crystals (SkX) are periodic alignment of magnetic skyrmions, i.e., a type of topologically protected spin textures. Compared with ordinary crystals, they can be drasticall…
Emergent elastic waves in skyrmion crystals with finite frequencies at long wavelength limit
Yangfan Hu
A fundamental fact in solids is that the frequencies of elastic waves vanish as the wave number approaches zero\cite{6}. Here we theoretically show that this fact is overturned whe…
Nonlinear emergent elasticity and structural transitions of skyrmion crystal under uniaxial distortion
Yangfan Hu, Xiaoming Lan, Biao Wang
Emergent crystals are periodic alignment of "emergent particles", i.e., localized collective behavior of atoms or their charges/spins/orbits. These novel states of matter, widely o…
Tunable surface configuration of skyrmion lattices in cubic helimagnets
Xuejin Wan, Yangfan Hu, Biao Wang
In bulk helimagnets, the presence of magnetic skyrmion lattices is always accompanied by a periodic stress field due to the intrinsic magnetoelastic coupling. The release of this n…
Direction-Dependent Stability of skyrmion lattice in helimagnets induced by Exchange Anisotropy
Yangfan Hu
Exchange anisotropy provides a direction dependent mechanism for the stability of the skyrmion lattice phase in noncentrosymmetric bulk chiral magnets. Based on the Fourier represe…
Wave-nature and metastability of emergent crystals in chiral magnets
Yangfan Hu
Topological spin textures emerging in magnetic materials usually appear in crystalline states. A long-standing dilemma is whether we should understand these emergent crystals as ga…
An Existence Criterion for Low-Dimensional Materials
Jiapeng Chen, Biao Wang, Yangfan Hu
The discovery of graphene and other two-dimensional (2-D) materials has stimulated a general interest in low-dimensional (low-D) materials. Whereas long time ago, Peierls and Landa…
Emergent elasticity of skyrmion crystal in chiral magnets: the constitutive equations
Yangfan Hu, Biao Wang
Here we derive the linear constitutive equations governing the emergent elastic behavior of skX under applied mechanical forces as well as other effective fields. The linear coeffi…
Reversible "triple-Q" elastic field structures in a chiral magnet
Yangfan Hu, Biao Wang
The analytical solution of the periodic elastic field in chiral magnets caused by presence of periodically distributed eigenstrains is obtained. For the skyrmion phase, both the pe…
Unified Theory of Magnetoelastic Effects in B20 chiral magnets
Yangfan Hu, Biao Wang
A magnetic skyrmion is a spin whirl with topological protection and high mobility to electric current. Intrinsic magnetoelastic coupling in chiral magnets permits manipulation of m…
Nature of Spontaneous Curvature in Suspended Graphene
Yangfan Hu
The nature of its intrinsic ripples is the key factor for understanding the stability of suspended graphene, and for unraveling the long-standing theoretical debate of the existenc…