7 citations · 17 across the 7 of their papers we have counts for
7 papers
Topological invariant of velocity field in quantum systems
Annan Fan, Shi-Dong Liang
We introduce the velocity field of the Bloch electrons and propose the velocity field approach to characterize the topological invariants of quantum states. We find that the zero m…
Zero modes of velocity field and topological invariant in quantum torus
Annan Fan, Shi-Dong Liang
We propose the velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the…
Geometric criterion of topological phase transition for non-Hermitian systems
Annan Fan, Shi-Dong Liang
We propose a geometric criterion of the topological phase transition for non-Hermitian systems. We define the length of the boundary of the bulk band in the complex energy plane fo…
Topological invariants of complex energy plane in non-Hermitian systems
Annan Fan, Shi-Dong Liang
Non-Hermitian systems as theoretical models of open or dissipative systems exhibit rich novel physical properties and fundamental issues in condensed matter physics.We propose a ge…
Quantum Hall admittance in non-Hermitian systems
Annan Fan, Guang-Yao Huang, Shi-Dong Liang
We propose a pair of the complex Berry curvatures associated with the non-Hermitian Hamiltonian and its Hermitian adjoint to reveal new physics in non-Hermitian systems. We give th…
Ramanujan-type Congruences for Broken 2-Diamond Partitions Modulo 3
William Y. C. Chen, Anna R. B. Fan, Rebecca T. Yu
The notion of broken -diamond partitions was introduced by Andrews and Paule. Let denote the number of broken k-diamond partitions of . They also posed three conject…
On the Maximum Number of k-Hooks of Partitions of n
Anna R. B. Fan, Harold R. L. Yang, Rebecca T. Yu
Let denote the number of -hooks in a partition and let be the maximum value of among partitions of . Amdeberhan posed a conjecture on the gener…