scholarly journals Fractional topological phase in one-dimensional flat bands with nontrivial topology

2012 ◽  
Vol 86 (8) ◽  
Author(s):  
Huaiming Guo ◽  
Shun-Qing Shen ◽  
Shiping Feng
Keyword(s):  
Topological Phase ◽  
One Dimensional ◽  
Flat Bands ◽  
Nontrivial Topology

scholarly journals Topological phase transition between a normal insulator and a topological metal state in a quasi-one-dimensional system

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Milad Jangjan ◽  
Mir Vahid Hosseini
Keyword(s):  
Phase Transition ◽  
Dimensional System ◽  
Inversion Symmetry ◽  
Topological Phase ◽  
Edge States ◽  
Zero Energy ◽  
One Dimensional ◽  
Topological Phase Transition ◽  
Metal State ◽  
Topological Metal

AbstractWe theoretically report the finding of a new kind of topological phase transition between a normal insulator and a topological metal state where the closing-reopening of bandgap is accompanied by passing the Fermi level through an additional band. The resulting nontrivial topological metal phase is characterized by stable zero-energy localized edge states that exist within the full gapless bulk states. Such states living on a quasi-one-dimensional system with three sublattices per unit cell are protected by hidden inversion symmetry. While other required symmetries such as chiral, particle-hole, or full inversion symmetry are absent in the system.

scholarly journals The influence of topological phase transition on the superfluid density of overdoped copper oxides

2017 ◽  
Vol 19 (33) ◽  
pp. 21964-21969 ◽  
Author(s):  
V. R. Shaginyan ◽  
V. A. Stephanovich ◽  
A. Z. Msezane ◽  
G. S. Japaridze ◽  
K. G. Popov
Keyword(s):  
Phase Transition ◽  
High Temperature Superconductors ◽  
Superfluid Density ◽  
Copper Oxides ◽  
Surface Topology ◽  
Topological Phase ◽  
Primary Reason ◽  
Flat Bands ◽  
Topological Phase Transition ◽  
Fermi Surface Topology

We show that a quantum phase transition, generating flat bands and altering Fermi surface topology, is a primary reason for the exotic behavior of the overdoped high-temperature superconductors represented by La2−xSrxCuO4, whose superconductivity features differ from what is predicted by the classical Bardeen–Cooper–Schrieffer theory.

Band Structures of Carbon Nanotubes with Nanoscale Periodic Pores Depending on their Circumferences

2003 ◽  
Vol 02 (01n02) ◽  
pp. 109-116
Author(s):  
Hiroyuki Takeda ◽  
Katsumi Yoshino
Keyword(s):  
Carbon Nanotubes ◽  
Tight Binding ◽  
Band Gaps ◽  
Band Structures ◽  
Electronic Band ◽  
Tight Binding Approximation ◽  
One Dimensional ◽  
Flat Bands ◽  
Porous Graphite ◽  
Electronic Band Structures

We theoretically evaluate the electronic band structures in carbon nanotubes with nanoscale periodic pores with a tight-binding approximation of π electrons, and demonstrate that band gaps of the carbon nanotubes with nanoscale periodic pores differ significantly from those of conventional carbon nanotubes. The band gaps of the carbon nanotubes with nanoscale periodic pores depend strongly on the size of pores and inter-pore distances. In some carbon nanotubes with nanoscale periodic pores, band gaps are constant as a function of their circumferences. In other ones, band gaps have the exact periodicity of three as a function of their circumferences. Those behaviors can be explained by taking properties of nanoscale periodic porous graphite into consideration. In some carbon nanotubes with relatively large nanoscale periodic pores, flat bands appear, which may cause singular properties about magnetism in one-dimensional porous carbon nanotubes.

scholarly journals Flat-band dark polaritons in two-dimensional chiral-waveguide quantum electrodynamics

2021 ◽  
Vol 2015 (1) ◽  
pp. 012088
Author(s):  
Y. Marques ◽  
I. A. Shelykh ◽  
I. V. Iorsh
Keyword(s):  
Quantum Dots ◽  
Quantum Electrodynamics ◽  
Semiconductor Quantum Dots ◽  
Flat Band ◽  
Combined Effects ◽  
Strongly Correlated ◽  
Two Dimensional ◽  
One Dimensional ◽  
Flat Bands ◽  
The One

Abstract We consider a two-dimensional extension of the one-dimensional waveguide quantum electrodynamics and investigate the nature of linear excitations in two-dimensional arrays of qubits (particularly, semiconductor quantum dots) coupled to networks of chiral waveguides. We show that the combined effects of chirality and long-range photon mediated qubit-qubit interactions lead to the emergence of the two-dimensional flat bands in the polaritonic spectrum, corresponding to slow strongly correlated light.

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