Results 21 to 30 of about 17,593 (261)

Extended dynamical symmetries of Landau levels in higher dimensions

Journal of High Energy Physics, 2020
Continuum models for time-reversal (TR) invariant topological insulators (Tis) in d ≥ 3 dimensions are provided by harmonic oscillators coupled to certain SO(d) gauge fields.
S. Kürkçüoğlu, G. Ünal, İ. Yurduşen   +2 more
doaj   +1 more source

Commensurate and incommensurate states of topological quantum matter

Physical Review B, 2014
7 pages, 4 ...
Milsted A, Cobanera E, Burrello M, Ortiz G   +3 more
openaire   +6 more sources

Fermion condensation and gapped domain walls in topological orders

Journal of High Energy Physics, 2017
We study fermion condensation in bosonic topological orders in two spatial dimensions. Fermion condensation may be realized as gapped domain walls between bosonic and fermionic topological orders, which may be thought of as real-space phase transitions ...
Yidun Wan, Chenjie Wang
doaj   +1 more source

Fusion rules and shrinking rules of topological orders in five dimensions

Journal of High Energy Physics, 2023
As a series of work about 5D (spacetime) topological orders, here we employ the path-integral formalism of 5D topological quantum field theory (TQFT) established in Zhang and Ye, JHEP 04 (2022) 138 to explore non-Abelian fusion rules, hierarchical ...
Yizhou Huang, Zhi-Feng Zhang, Peng Ye
doaj   +1 more source

Anyonic exclusions statistics on surfaces with gapped boundaries

Journal of High Energy Physics, 2019
An anyonic exclusion statistics, which generalizes the Bose-Einstein and Fermi-Dirac statistics of bosons and fermions, was proposed by Haldane [1].
Yingcheng Li, Hongyu Wang, Yuting Hu, Yidun Wan   +3 more
doaj   +1 more source

Bandgap-assisted quantum control of topological edge states in a cavity

Physical Review Research, 2020
Quantum matter with exotic topological order has potential applications in quantum computation. However, in present experiments, the manipulations on topological states are still challenging.
Wei Nie, Yu-xi Liu
doaj   +1 more source

Topological States of Matter [PDF]

, 2012
My research program is focused on the study of elastic deformation and topological defects in two materials: graphene and topological insulators. In both systems at low energies the electrons have a nearly linear spectrum, i.e. they behave like relativistic fermions.
openaire   +1 more source

New states of matter suggested by new topological structures [PDF]

International Journal of General Systems, 2013
We extend the well-known Borromean and Brunnian rings to new higher order versions. Then we suggest an extension of the connection between Efimov states in cold gases and Borromean and Brunnian rings to these new higher order links. This gives rise to a whole new hierarchy of possible states with Efimov states at the bottom.
openaire   +2 more sources

TOPOLOGICAL STATES OF MATTER AND NONCOMMUTATIVE GEOMETRY [PDF]

Bulletin of the Australian Mathematical Society, 2016
This thesis examines topological states of matter from the perspective of noncommutative geometry and KK-theory. Examples of such topological states of matter include the quantum Hall effect and topological insulators. For the quantum Hall effect, we consider a continuous model and show that the Hall conductance can be expressed in terms of the index ...
openaire   +1 more source

Topological orders, braiding statistics, and mixture of two types of twisted BF theories in five dimensions

Journal of High Energy Physics, 2022
Topological orders are a prominent paradigm for describing quantum many-body systems without symmetry-breaking orders. We present a topological quantum field theoretical (TQFT) study on topological orders in five-dimensional spacetime (5D) in which ...
Zhi-Feng Zhang, Peng Ye
doaj   +1 more source