scholarly journals Perturbative/nonperturbative aspects of Bloch electrons in a honeycomb lattice

2018 ◽  
Vol 2018 (9) ◽  
Author(s):  
Yasuyuki Hatsuda
Keyword(s):  
Honeycomb Lattice ◽  
Bloch Electrons

scholarly journals GAUGE FIELDS, QUANTIZED FLUXES AND MONOPOLE CONFINEMENT OF THE HONEYCOMB LATTICE

2009 ◽  
Vol 23 (14) ◽  
pp. 3113-3130 ◽  
Author(s):  
MAHITO KOHMOTO
Keyword(s):  
Time Reversal ◽  
Dual Space ◽  
Gauge Fields ◽  
Honeycomb Lattice ◽  
Time Reversal Symmetry ◽  
Hall Conductance ◽  
Jahn Teller ◽  
Jahn Teller Effect ◽  
Hopping Models ◽  
Bloch Electrons

Electron hopping models on the honeycomb lattice are studied. The lattice consists of two triangular sublattices, and it is non-Bravais. The dual space has non-trivial topology. The gauge fields of Bloch electrons have the U(1) symmetry and thus represent superconducting states in the dual space. Two quantized Abrikosov fluxes exist at the Dirac points and have fluxes 2π and -2π, respectively. We define the non-Abelian SO(3) gauge theory in the extended 3d dual space and it is shown that a monopole and anti-monoplole solution is stable. The SO(3) gauge group is broken down to U(1) at the 2d boundary. The Abrikosov fluxes are related to quantized Hall conductance by the topological expression. Based on this, monopole confinement and deconfinement are discussed in relation to time reversal symmetry and QHE. The Jahn–Teller effect is briefly discussed.

2D Honeycomb Silicon: A Review on Theoretical Advances for Silicene Field-Effect Transistors

2020 ◽  
Vol 16 (4) ◽  
pp. 595-607 ◽  
Author(s):  
Mu Wen Chuan ◽  
Kien Liong Wong ◽  
Afiq Hamzah ◽  
Shahrizal Rusli ◽  
Nurul Ezaila Alias ◽  
...  
Keyword(s):  
Field Effect ◽  
Field Effect Transistors ◽  
Semiconductor Industry ◽  
Honeycomb Lattice ◽  
Theoretical Studies ◽  
Fabrication Technology ◽  
Dirac Cone ◽  
Free Standing ◽  
Silicene Nanoribbons ◽  
Effect Transistor

Catalysed by the success of mechanical exfoliated free-standing graphene, two dimensional (2D) semiconductor materials are successively an active area of research. Silicene is a monolayer of silicon (Si) atoms with a low-buckled honeycomb lattice possessing a Dirac cone and massless fermions in the band structure. Another advantage of silicene is its compatibility with the Silicon wafer fabrication technology. To effectively apply this 2D material in the semiconductor industry, it is important to carry out theoretical studies before proceeding to the next step. In this paper, an overview of silicene and silicene nanoribbons (SiNRs) is described. After that, the theoretical studies to engineer the bandgap of silicene are reviewed. Recent theoretical advancement on the applications of silicene for various field-effect transistor (FET) structures is also discussed. Theoretical studies of silicene have shown promising results for their application as FETs and the efforts to study the performance of bandgap-engineered silicene FET should continue to improve the device performance.

scholarly journals Canted antiferromagnetic order and spin dynamics in the honeycomb-lattice compound Tb2Ir3Ga9

2021 ◽  
Vol 103 (18) ◽  
Author(s):  
Feng Ye ◽  
Zachary Morgan ◽  
Wei Tian ◽  
Songxue Chi ◽  
Xiaoping Wang ◽  
...  
Keyword(s):  
Spin Dynamics ◽  
Antiferromagnetic Order ◽  
Honeycomb Lattice

scholarly journals Robust zero modes in disordered two-dimensional honeycomb lattice with Kekulé bond ordering

2021 ◽  
pp. 168440
Author(s):  
Tohru Kawarabayashi ◽  
Yuya Inoue ◽  
Ryo Itagaki ◽  
Yasuhiro Hatsugai ◽  
Hideo Aoki
Keyword(s):  
Honeycomb Lattice ◽  
Two Dimensional ◽  
Zero Modes

scholarly journals Toward Kitaev's sixteenfold way in a honeycomb lattice model

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Shang-Shun Zhang ◽  
Cristian D. Batista ◽  
Gábor B. Halász
Keyword(s):  
Lattice Model ◽  
Honeycomb Lattice

Pressure and magnetic field effects on ferroelastic and antiferromagnetic orderings in honeycomb-lattice Mn2V2O7

2020 ◽  
Vol 102 (7) ◽  
Author(s):  
H. C. Wu ◽  
D. J. Hsieh ◽  
T. W. Yen ◽  
P. J. Sun ◽  
D. Chandrasekhar Kakarla ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Honeycomb Lattice ◽  
Magnetic Field Effects ◽  
Field Effects

scholarly journals Quantum loop states in spin-orbital models on the honeycomb lattice

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Lucile Savary
Keyword(s):  
Realistic Model ◽  
Quantum Spin ◽  
Honeycomb Lattice ◽  
Spin Liquids ◽  
Spin Orbital ◽  
Experimental Realization ◽  
Quantum Phases ◽  
Quantum Spin Liquids ◽  
Quantum Spin Liquid ◽  
Symmetry Protected

AbstractThe search for truly quantum phases of matter is a center piece of modern research in condensed matter physics. Quantum spin liquids, which host large amounts of entanglement—an entirely quantum feature where one part of a system cannot be measured without modifying the rest—are exemplars of such phases. Here, we devise a realistic model which relies upon the well-known Haldane chain phase, i.e. the phase of spin-1 chains which host fractional excitations at their ends, akin to the hallmark excitations of quantum spin liquids. We tune our model to exactly soluble points, and find that the ground state realizes Haldane chains whose physical supports fluctuate, realizing both quantum spin liquid like and symmetry-protected topological phases. Crucially, this model is expected to describe actual materials, and we provide a detailed set of material-specific constraints which may be readily used for an experimental realization.

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