scholarly journals Chiral bosonic topological insulator on the honeycomb lattice with anisotropic interactions

2021 ◽  
Vol 103 (20) ◽  
Author(s):  
Amrita Ghosh ◽  
Eytan Grosfeld
Keyword(s):  
Topological Insulator ◽  
Honeycomb Lattice ◽  
Anisotropic Interactions

GENERAL 8-VERTEX MODEL ON THE HONEYCOMB LATTICE: EQUIVALENCE WITH AN ISING MODEL

1990 ◽  
Vol 04 (05) ◽  
pp. 311-316 ◽  
Author(s):  
K. Y. LIN ◽  
F. Y. WU
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Honeycomb Lattice ◽  
Vertex Model ◽  
Independent Vertex ◽  
Anisotropic Interactions ◽  
Complex Magnetic Field

It is shown that the general 8-vertex model on the honeycomb lattice is always reducible to an Ising model in a nonzero but generally complex magnetic field. In the most general case of the staggered 8-vertex model characterized by 16 independent vertex weights, the equivalent Ising model has three anisotropic interactions and a staggered magnetic field which assumes two different values on the two sublattices.

scholarly journals Dual-band acoustic topological insulator based on honeycomb lattice sonic crystal

2019 ◽  
Vol 68 (22) ◽  
pp. 224301
Author(s):  
Ding Jia ◽  
Yong Ge ◽  
Shou-Qi Yuan ◽  
Hong-Xiang Sun
Keyword(s):  
Topological Insulator ◽  
Dual Band ◽  
Honeycomb Lattice ◽  
Sonic Crystal

Topological Properties in Strained Monolayer Antimony Iodide

2021 ◽  
Vol 38 (11) ◽  
pp. 117301
Author(s):  
Danwen Yuan ◽  
Yuefang Hu ◽  
Yanmin Yang ◽  
Wei Zhang
Keyword(s):  
Topological Insulator ◽  
Topological Insulators ◽  
Energy Gap ◽  
Square Lattice ◽  
Honeycomb Lattice ◽  
Type I ◽  
Topological Properties ◽  
Dirac Semimetal ◽  
Low Dissipation ◽  
Binary Compounds

Two-dimensional (2D) topological insulators present a special phase of matter manifesting unique electronic properties. Till now, many monolayer binary compounds of Sb element, mainly with a honeycomb lattice, have been reported as 2D topological insulators. However, research of the topological insulating properties of the monolayer Sb compounds with square lattice is still lacking. Here, by means of the first-principles calculations, a monolayer SbI with square lattice is proposed to exhibit the tunable topological properties by applying strain. At different levels of the strain, the monolayer SbI shows two different structural phases: buckled square structure and buckled rectangular structure, exhibiting attracting topological properties. We find that in the buckled rectangular phase, when the strain is greater than 3.78%, the system experiences a topological phase transition from a nontrivial topological insulator to a trivial insulator, and the structure at the transition point actually is a Dirac semimetal possessing two type-I Dirac points. In addition, the system can achieve the maximum global energy gap of 72.5 meV in the topological insulator phase, implying its promising application at room temperature. This study extends the scope of 2D topological physics and provides a platform for exploring the low-dissipation quantum electronics devices.

scholarly journals Weak topological insulating phases of hard-core-bosons on the honeycomb lattice

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Amrita Ghosh ◽  
Eytan Grosfeld
Keyword(s):  
Topological Insulator ◽  
Quantum Monte Carlo ◽  
Nearest Neighbor ◽  
Berry Phase ◽  
Density Wave ◽  
Hard Core ◽  
Honeycomb Lattice ◽  
Experimental Realization ◽  
A Charge ◽  
Quantum Monte Carlo Simulations

We study the phases of hard-core bosons on a two-dimensional periodic honeycomb lattice in the presence of an on-site potential with alternating sign along the different y-layers of the lattice. Using quantum Monte Carlo simulations supported by analytical calculations, we identify a weak topological insulator, characterized by a zero Chern number but non-zero Berry phase, which is manifested at either density 1/4 or 3/4, as determined by the potential pattern. Additionally, a charge-density-wave insulator is observed at 1/2-filling, whereas the phase diagram at intermediate densities is occupied by a superfluid phase. The weak topological insulator is further shown to be robust against any amount of nearest-neighbor repulsion, as well as weak next-nearest-neighbor repulsion. The experimental realization of our model is feasible in an optical lattice setup.

Ferromagnetic dual topological insulator in a two-dimensional honeycomb lattice

2020 ◽  
Vol 7 (9) ◽  
pp. 2431-2438
Author(s):  
Hao Wang ◽  
Ning Mao ◽  
Chengwang Niu ◽  
Shiying Shen ◽  
Myung-Hwan Whangbo ◽  
...  
Keyword(s):  
Hall Effect ◽  
Topological Insulator ◽  
Topological Insulators ◽  
Anomalous Hall Effect ◽  
Topological Invariant ◽  
Honeycomb Lattice ◽  
Two Dimensional ◽  
Edge States ◽  
Quantum Anomalous Hall Effect ◽  
Significant Attention

Magnetic topological insulators (TIs), including the quantum anomalous Hall effect and antiferromagnetic TIs, have attracted significant attention owing to the exotic properties they give rise to, however, ferromagnetic TIs with gapless surface/edge states and a nonzero topological invariant have not been reported so far.

scholarly journals Square-root higher-order topological insulator on a decorated honeycomb lattice

2020 ◽  
Vol 102 (3) ◽  
Author(s):  
Tomonari Mizoguchi ◽  
Yoshihito Kuno ◽  
Yasuhiro Hatsugai
Keyword(s):  
Topological Insulator ◽  
Higher Order ◽  
Honeycomb Lattice ◽  
Square Root

Topological insulator states in a honeycomb lattice of s-triazines

Nanoscale ◽  
2014 ◽  
Vol 6 (19) ◽  
pp. 11157-11162 ◽  
Author(s):  
Aizhu Wang ◽  
Xiaoming Zhang ◽  
Mingwen Zhao
Keyword(s):  
Topological Insulator ◽  
Electronic States ◽  
Topological Invariant ◽  
Honeycomb Lattice ◽  
Chemical Formula ◽  
Band Structures

The already-synthesized honeycomb lattice of s-triazines with a chemical formula C6N6 has topologically nontrivial electronic states characterized by px,y-orbital band structures with a topological invariant of Z2 = 1.

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