Higher-order topological phases in a spring-mass model on a breathing kagome lattice

H Wakao, T Yoshida, H Araki, T Mizoguchi, Y Hatsugai - Physical Review B, 2020 - APS
We propose a realization of higher-order topological phases in a spring-mass model with a
breathing kagome structure. To demonstrate the existence of the higher-order topological …

Topological edge states in the one-dimensional superlattice Bose-Hubbard model

F Grusdt, M Höning, M Fleischhauer - Physical review letters, 2013 - APS
We analyze interacting ultracold bosonic atoms in a one-dimensional superlattice potential
with alternating tunneling rates t 1 and t 2 and inversion symmetry, which is the bosonic …

Berry phase for higher-order symmetry-protected topological phases

H Araki, T Mizoguchi, Y Hatsugai - Physical Review Research, 2020 - APS
We propose the ZQ Berry phase as a topological invariant for higher-order symmetry-
protected topological (HOSPT) phases for two-and three-dimensional systems. It is …

Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems

S Tsubota, H Yang, Y Akagi, H Katsura - Physical Review B, 2022 - APS
We investigate the quantization of the complex-valued Berry phases in non-Hermitian
quantum systems with certain generalized symmetries. In Hermitian quantum systems, the …

Robust analytic continuation combining the advantages of the sparse modeling approach and the Padé approximation

Y Motoyama, K Yoshimi, J Otsuki - Physical Review B, 2022 - APS
Analytic continuation (AC) from the imaginary-time Green's function to the spectral function is
a crucial process for numerical studies of the dynamical properties of quantum many-body …

Kernel method for corrections to scaling

K Harada - Physical Review E, 2015 - APS
Scaling analysis, in which one infers scaling exponents and a scaling function in a scaling
law from given data, is a powerful tool for determining universal properties of critical …

Sequential quantum phase transitions in Heisenberg chains with integer spins : Quantized Berry phase and valence-bond solids

S Fubasami, T Mizoguchi, Y Hatsugai - Physical Review B, 2019 - APS
On the basis of a Berry-phase analysis, we study the ground state of the J 1-J 2 Heisenberg
chain for S= 2, 3, 4. We find that changes in the Berry phase occur S times for spin-S …

Fractionally quantized berry's phase in an anisotropic magnet on the kagome lattice

T Kawarabayashi, K Ishii, Y Hatsugai - Journal of the Physical …, 2019 - journals.jps.jp
A fractionally quantized Berry phase is examined numerically in an anisotropic spin-1/2 XXZ
model on the Kagome lattice. It is shown that the Berry phase has a fractionally quantized …

Quantized Berry Phase in the Spin-1/2 XXZ Model on the Anisotropic Kagome Lattice

K Aoyagi, K Ishii, Y Hatsugai… - Journal of the Physical …, 2024 - journals.jps.jp
Using large-scale quantum Monte Carlo simulations, the Z 3 Berry phase in the S= 1/2 XXZ
model on the anisotropic kagome lattice is calculated. It is shown that the Z 3 Berry phase is …

Berry phase and symmetry-protected topological phases of the SU() antiferromagnetic Heisenberg chain

Y Motoyama, S Todo - Physical Review B, 2018 - APS
The local ZN quantized Berry phase for the SU (N) antiferromagnetic Heisenberg spin model
is formulated. This quantity, which is a generalization of the local Z 2 Berry phase for SU (2) …