Topological Quantum Phase Transition in Synthetic Non-Abelian Gauge Potential: Gauge Invariance and Experimental Detections

Sun, Fan‐Ko; Yu, Xiao-Lu; Ye, Jinwu; Fan, Heng; Liu, Wu-Ming

doi:10.1038/srep02119

Cited by 29 publications

(48 citation statements)

References 45 publications

(101 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Accidentally, it is the same Wilson ratio as that in the N D = 4 phase in [18]. New quantum phases and phase transitions at a finite uniform or a staggered magnetic fields will be mentioned at the conclusion section V.…”

Section: Bmentioning

confidence: 72%

“…(24) will be mentioned in the Sec.VII and the conclusion section. Following [18], we find the Wilson loop around one square (Fig.1b). Similar to [18], the other two Wilson loops around two squares oriented along x and y axis are W b,x = 2 − 4 sin 2 2α sin 2 β, W b,y = 2 − 4 sin 2 α sin 2 2β.…”

Section: Synthetic Rotated Spin-s Heisenberg Model In the Strong mentioning

confidence: 93%

“…Following [18], we find the Wilson loop around one square (Fig.1b). Similar to [18], the other two Wilson loops around two squares oriented along x and y axis are W b,x = 2 − 4 sin 2 2α sin 2 β, W b,y = 2 − 4 sin 2 α sin 2 2β. In the following, we focus on the strong coupling limit U ≫ t. The possible superfluid states at weak U ≪ t coupling will be briefly mentioned in the conclusion section.…”

Section: Synthetic Rotated Spin-s Heisenberg Model In the Strong mentioning

confidence: 93%

“…The pseudo-spin 1/2 boson Hubbard model at integer fillings b † ↑ b ↑ + b † ↓ b ↓ = N subject to a non-Abelian gauge potential is [18]:…”

Section: Synthetic Rotated Spin-s Heisenberg Model In the Strong mentioning

confidence: 99%

“…(1) can be achieved by adding spinflip Raman lasers to induce a ασ x term along the horizontal bond, or by driving the spin-flip transition with RF or microwave fields. Scaling functions for both gaugeinvariant and non-gauge invariant quantities across topological transitions of non-interacting fermions driven by the non-Abelian gauge potentials on an optical lattice have also been derived [18]. However, so far, possible new class of quantum magnetic phenomena due to the interplay among the interactions, the SOC and lattice geometries have not been addressed yet.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

2015

Self Cite

View full text Add to dashboard Cite

We study quantum magnetism of interacting spinor bosons at integer fillings hopping in a square lattice in the presence of of non-Abelian gauge fields. In the strong coupling limit, it leads to the Rotated ferromagnetic Heisenberg model (RFHM) which is a new class of quantum spin model. We introduce Wilson loops to characterize frustrations and gauge equivalent classes. For a special equivalent class, we identify a new spin-orbital entangled commensurate ground state. It supports not only commensurate magnons, but also a new gapped elementary excitation: in-commensurate magnons with two gap minima continuously tuned by the SOC strength. At low temperatures, these magnons lead to dramatic effects in many physical quantities such as density of states, specific heat, magnetization, uniform susceptibility, staggered susceptibility and various spin correlation functions. The commensurate magnons lead to a pinned central peak in the angle resolved light or atom Bragg spectroscopy. However, the in-commensurate magnons split it into two located at their two gap minima. At high temperatures, the transverse spin structure factors depend on the SOC strength explicitly. The whole set of Wilson loops can be mapped out by measuring the specific heat at the corresponding orders in the high temperature expansion. We argue that one gauge may be realized in current experiments and other gauges may also be realized in near future experiments. The results achieved along the exact solvable line sets up the stage to investigate dramatic effects when tuning away from it by various means. We sketch the crucial roles to be played by these magnons at other equivalent classes, with spin anisotropic interactions and in the presence of finite magnetic fields. Various experimental detections of these new phenomena are discussed. Rotated Anti-ferromagnetic Heisenberg model are also briefly mentioned.

show abstract

Section: Bmentioning

confidence: 72%

Section: Synthetic Rotated Spin-s Heisenberg Model In the Strong mentioning

confidence: 93%

Section: Synthetic Rotated Spin-s Heisenberg Model In the Strong mentioning

confidence: 93%

“…The pseudo-spin 1/2 boson Hubbard model at integer fillings b † ↑ b ↑ + b † ↓ b ↓ = N subject to a non-Abelian gauge potential is [18]:…”

Section: Synthetic Rotated Spin-s Heisenberg Model In the Strong mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

2015

Self Cite

View full text Add to dashboard Cite

show abstract

Tunable topological quantum states in three- and two-dimensional materials

2015

Self Cite

View full text Add to dashboard Cite

We review our theoretical advances in tunable topological quantum states in three-and twodimensional materials with strong spin-orbital couplings. In three-dimensional systems, we propose a new tunable topological insulator, bismuth-based skutterudites in which topological insulating states can be induced by external strains. The orbitals involved in the topological band-inversion process are the d-and p-orbitals, unlike typical topological insulators such as Bi 2 Se 3 and BiTeI, where only the p-orbitals are involved in the band-inversion process. Owing to the presence of large d-electronic states, the electronic interaction in our proposed topological insulator is much stronger than that in other conventional topological insulators. In two-dimensional systems, we investigated 3d-transition-metal-doped silicene. Using both an analytical model and first-principles Wannier interpolation, we demonstrate that silicene decorated with certain 3d transition metals such as vanadium can sustain a stable quantum anomalous Hall effect. We also predict that the quantum valley Hall effect and electrically tunable topological states could be realized in certain transition-metal-doped silicenes where the energy band inversion occurs. These findings provide realistic materials in which topological states could be arbitrarily controlled.

show abstract

Yang–Mills field strength and classical trajectories of electrons in Rashba spin–orbit-coupled systems

Hong,

Kim,

Kim

2024

J. Korean Phys. Soc.

View full text Add to dashboard Cite

Topological Quantum Phase Transition in Synthetic Non-Abelian Gauge Potential: Gauge Invariance and Experimental Detections

Cited by 29 publications

References 45 publications

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

Tunable topological quantum states in three- and two-dimensional materials

Yang–Mills field strength and classical trajectories of electrons in Rashba spin–orbit-coupled systems

Contact Info

Product

Resources

About