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  1. link.aps.org

    May 15, 2023Figure 2. Schematic of higher-order topological phase transitions (HOTPTs). (a) Behavior of topological charges in the phase transitions. Here, the charges cross either the projective band-inversion surfaces (BISs) [black (i) and green (iii) dots] or the border [red stars (ii)] of (gray regions). The boundary gaps for are assumed to be open. (b) In (ii) or (iii), driving an -order topological ...
  2. journals.aps.org

    May 15, 2023Based on this nontrivial duality, topological phase transitions occur when higher-order topological charges cross higher-order BISs after proper projection, with type-I (or type-II) transitions being characterized by all (or part of) charges that pass through the BISs, providing an elegant and unified characterization of both types of HOTPTs.
  3. Higher-order topological phase transitions (HOTPTs) are associated with closing either the bulk energy gap (type-I) or boundary energy gap (type-II) without changing symmetry, and conventionally the both transitions are captured in real space and characterized separately. Here we propose a momentum-space topological characterization of the HOTPTs, which unifies the both types of topological ...
  4. Higher-order topological phase transitions (HOTPTs) are associated with closing either the bulk energy gap (type-I) or boundary energy gap (type-II) without changing symmetry. The type-I and type-II transitions are usually characterized separately and are hard to distinguish in experiments. Here we propose a unified topological characterization of the HOTPTs, which further enables a precise ...
  5. journals.aps.org

    We also provide the details of characterization for higher-order topological phase transitions (HOTPTs) and the completely numerical results for the dynamical characterization of 2D 2nd-order, 3D 2nd-order, and 3D 3rd-order topological phases. I. MDW-BIS duality and its applications 1. 1st-order topological phases
  6. the nth-order topological phase (1) is then determined by all of the invariants w iof the e ective 1st-order topo-logical Hamiltonian H k(i 1), given by V n= sgn(jw 1w 2 w n 1j)w n: (3) This can be easily understood in process of construct-ing an nth-order topological phase from the (n 1)th-order TI with the topological index V n 1. The sign ...
  7. inspirehep.net

    Here, we propose a momentum-space topological characterization of HOTPTs which unifies both types of topological transitions and enables a precise detection by quench dynamics. Our unified characterization is based on a correspondence between mass domain walls on real-space boundaries and higher-order band-inversion surfaces (BISs) which are ...
  8. tcm.phy.cam.ac.uk

    78 CHAPTER 5. TOPOLOGICAL PHASE TRANSITIONS as vortices. Note that this type of phase transition is qualitatively quite different from those we have met previously. 5.1 Continuous Spins Near Two-Dimensions Suppose unit n-component spins S i =(s i1,s i2,···s in)(S2i = 1) which occupy the sites i of a lattice interact ferromagnetically with ...
  9. semanticscholar.org

    Wei Jia, Xin-Chi Zhou, Lin Zhang, Long Zhang, and Xiong-Jun Liu 4, 5, ∗ International Center for Quantum Materials and School of Physics, Peking University, Beijing 100871, China ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Av. Carl Friedrich Gauss 3, 08860 Castelldefels (Barcelona), Spain School of Physics, Huazhong University of Science and ...

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