4.6 Article

Unification of topological invariants in Dirac models

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Multidisciplinary Sciences

Multi-critical topological transition at quantum criticality

Ranjith R. Kumar et al.

Summary: This study investigates the topological quantum phase transition between gapless phases in the transverse field Ising model, revealing the distinct nature of different topological phases and the presence of multi-critical points. The topological transition between the gapless phases on the critical line occurs through a non-trivial multi-critical point in the Lifshitz universality class. The breakdown of Lorentz invariance and the effective use of scaling theories and curvature function renormalization group are also demonstrated in understanding these transitions.

SCIENTIFIC REPORTS (2021)

Article Materials Science, Multidisciplinary

Crossdimensional universality classes in static and periodically driven Kitaev models

Paolo Molignini et al.

Summary: The study explores the phase diagram of the periodically driven Kitaev model and its topological phase transitions with the static model. By analyzing Majorana-Wannier state correlation functions and momentum-dependent fidelity susceptibilities, it is found that the system's various topological phase criticalities can be classified into universality classes of one-dimensional linear Dirac models.

PHYSICAL REVIEW B (2021)

Article Materials Science, Multidisciplinary

Curvature function renormalization, topological phase transitions, and multicriticality

Faruk Abdulla et al.

PHYSICAL REVIEW B (2020)

Article Materials Science, Multidisciplinary

Scaling behavior in a multicritical one-dimensional topological insulator

M. Malard et al.

PHYSICAL REVIEW B (2020)

Article Materials Science, Multidisciplinary

Fidelity susceptibility near topological phase transitions in quantum walks

S. Panahiyan et al.

PHYSICAL REVIEW B (2020)

Article Materials Science, Multidisciplinary

Generating quantum multicriticality in topological insulators by periodic driving

Paolo Molignini et al.

PHYSICAL REVIEW B (2020)

Article Physics, Multidisciplinary

Universality classes of topological phase transitions with higher-order band crossing

Wei Chen et al.

NEW JOURNAL OF PHYSICS (2019)

Article Materials Science, Multidisciplinary

Multicritical behavior in topological phase transitions

S. Rufo et al.

PHYSICAL REVIEW B (2019)

Article Materials Science, Multidisciplinary

Universal quantum criticality in static and Floquet-Majorana chains

Paolo Molignini et al.

PHYSICAL REVIEW B (2018)

Article Materials Science, Multidisciplinary

Correlation length, universality classes, and scaling laws associated with topological phase transitions

Wei Chen et al.

PHYSICAL REVIEW B (2017)

Article Physics, Condensed Matter

Scaling theory of Z2 topological invariants

Wei Chen et al.

JOURNAL OF PHYSICS-CONDENSED MATTER (2016)

Article Physics, Condensed Matter

Scaling theory of topological phase transitions

Wei Chen

JOURNAL OF PHYSICS-CONDENSED MATTER (2016)

Article Physics, Multidisciplinary

Classification of topological quantum matter with symmetries

Ching-Kai Chiu et al.

REVIEWS OF MODERN PHYSICS (2016)

Review Physics, Condensed Matter

The Quantum Anomalous Hall Effect: Theory and Experiment

Chao-Xing Liu et al.

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 7 (2016)

Article Materials Science, Multidisciplinary

Exotic topological types of Majorana zero modes and their universal quantum manipulation

Y. X. Zhao et al.

PHYSICAL REVIEW B (2014)

Article Materials Science, Multidisciplinary

Two-dimensional time-reversal-invariant topological superconductivity in a doped quantum spin-Hall insulator

Jing Wang et al.

PHYSICAL REVIEW B (2014)

Article Materials Science, Multidisciplinary

Counting Majorana zero modes in superconductors

Luiz Santos et al.

PHYSICAL REVIEW B (2011)

Article Materials Science, Multidisciplinary

Single-particle Green's functions and interacting topological insulators

V. Gurarie

PHYSICAL REVIEW B (2011)

Article Physics, Multidisciplinary

Equivalent topological invariants of topological insulators

Zhong Wang et al.

NEW JOURNAL OF PHYSICS (2010)

Article Physics, Multidisciplinary

Topological insulators and superconductors: tenfold way and dimensional hierarchy

Shinsei Ryu et al.

NEW JOURNAL OF PHYSICS (2010)

Article Materials Science, Multidisciplinary

Model Hamiltonian for topological insulators

Chao-Xing Liu et al.

PHYSICAL REVIEW B (2010)

Article Physics, Multidisciplinary

Odd-Parity Topological Superconductors: Theory and Application to CuxBi2Se3

Liang Fu et al.

PHYSICAL REVIEW LETTERS (2010)

Article Physics, Multidisciplinary

Berry phase effects on electronic properties

Di Xiao et al.

REVIEWS OF MODERN PHYSICS (2010)

Article Physics, Multidisciplinary

Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface

Haijun Zhang et al.

NATURE PHYSICS (2009)

Article Physics, Multidisciplinary

Time-Reversal-Invariant Topological Superconductors and Superfluids in Two and Three Dimensions

Xiao-Liang Qi et al.

PHYSICAL REVIEW LETTERS (2009)

Article Materials Science, Multidisciplinary

Dichroic f-sum rule and the orbital magnetization of crystals

Ivo Souza et al.

PHYSICAL REVIEW B (2008)

Article Materials Science, Multidisciplinary

Classification of topological insulators and superconductors in three spatial dimensions

Andreas P. Schnyder et al.

PHYSICAL REVIEW B (2008)

Article Materials Science, Multidisciplinary

Topological field theory of time-reversal invariant insulators

Xiao-Liang Qi et al.

PHYSICAL REVIEW B (2008)

Article Physics, Multidisciplinary

Quantum theory of orbital magnetization and its generalization to interacting systems

Junren Shi et al.

PHYSICAL REVIEW LETTERS (2007)

Article Materials Science, Multidisciplinary

Topological insulators with inversion symmetry

Liang Fu et al.

PHYSICAL REVIEW B (2007)

Article Physics, Multidisciplinary

Topological insulators in three dimensions

Liang Fu et al.

PHYSICAL REVIEW LETTERS (2007)

Article Materials Science, Multidisciplinary

Topological invariants of time-reversal-invariant band structures

J. E. Moore et al.

PHYSICAL REVIEW B (2007)

Article Multidisciplinary Sciences

Quantum spin Hall effect and topological phase transition in HgTe quantum wells

B. Andrei Bernevig et al.

SCIENCE (2006)

Article Materials Science, Multidisciplinary

Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals

Davide Ceresoli et al.

PHYSICAL REVIEW B (2006)

Article Physics, Multidisciplinary

Quantum spin hall effect

BA Bernevig et al.

PHYSICAL REVIEW LETTERS (2006)

Article Physics, Multidisciplinary

Quantum spin Hall effect in graphene

CL Kane et al.

PHYSICAL REVIEW LETTERS (2005)

Article Physics, Multidisciplinary

Z2 topological order and the quantum spin Hall effect -: art. no. 146802

CL Kane et al.

PHYSICAL REVIEW LETTERS (2005)

Article Physics, Multidisciplinary

Orbital magnetization in periodic insulators

T Thonhauser et al.

PHYSICAL REVIEW LETTERS (2005)

Article Physics, Multidisciplinary

Berry phase correction to electron density of states in solids

D Xiao et al.

PHYSICAL REVIEW LETTERS (2005)