Numerical and experimental investigation of second-order mechanical topological insulators

Duan, Guiju; Zheng, Shengjie; Lin, Zhi‐Kang; Jiao, Junrui; Liu, Jianting; Jiang, Zihan; Xia, Baizhan

doi:10.1016/j.jmps.2023.105251

Cited by 19 publications

(7 citation statements)

References 58 publications

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“…The 2D HOTI is also simulated by a superconducting qubit [364]. Much richer HOTPs are observed in a variety of metamaterials, such as mechanical [365][366][367][368][369][370][371][372][373][374], microwave [375], acoustic [131,241,242,, photonic systems , thermal metamaterials [456] and electric circuits [149,[457][458][459][460][461][462][463][464][465], blessed by their high tunability. HOTIs with corner states have been extensively simulated in various systems in both 2Ds [365-378, 380, 382, 383, 387, 391-393, 397-399, 408, 409, 411, 413-439, 441, 443, 444, 446, 451-455, 457, 459, 461, 463-465] and 3Ds [379, 384, 386, 389, 403-405, 412, 458, 460, 463].…”

Section: Synthetic Systemsmentioning

confidence: 99%

Higher-order topological phases in crystalline and non-crystalline systems: a review

Yang,

Wang,

et al. 2024

J. Phys.: Condens. Matter

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In recent years, higher-order topological phases have attracted great interest in various fields of physics. These phases have protected boundary states at lower-dimensional boundaries than the conventional first-order topological phases due to the higher-order bulk-boundary correspondence. In this review, we summarize current research progress on higher-order topological phases in both crystalline and non-crystalline systems. We firstly introduce prototypical models of higher-order topological phases in crystals and their topological characterizations. We then discuss effects of quenched disorder on higher-order topology and demonstrate disorder-induced higher-order topological insulators. We also review the theoretical studies on higher-order topological insulators in amorphous systems without any crystalline symmetry and higher-order topological phases in non-periodic lattices including quasicrystals, hyperbolic lattices, and fractals, which have no crystalline counterparts. We conclude the review by a summary of experimental realizations of higher-order topological phases and discussions on potential directions for future study.

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Section: Synthetic Systemsmentioning

confidence: 99%

Higher-order topological phases in crystalline and non-crystalline systems: a review

Yang,

Wang,

et al. 2024

J. Phys.: Condens. Matter

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“…Along with the successful isolation of the graphene monolayer in 2004, the Geim's group demonstrated its unique and excellent electrical properties for the first time [1,2]. Then two dimensional (2D) materials with peculiar properties and potential functions, especially those with topological properties, have gained wide attention from the scientific research community [3][4][5]. The topological insulators (TIs) have topologically nontrivial bulk energy bands and gapless surface states protected by time-reversal symmetry.…”

Section: Introductionmentioning

confidence: 99%

Theoretical predicted Janus SrAlGaTe₄: effects of strain and electric field and its topological properties

Gao,

Niu,

Wang

2024

Phys. Scr.

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The asymmetric Janus SrAlGaTe4, constructed from its parent SrGa2Te4 monolayer, was predicted theoretically by first principle calculations. Its stability was confirmed by phonon structure without imaginary frequency and ab initio molecular dynamics （AIMD） simulations. The Janus structure reduces the symmetry of SrGa2Te4 monolayer, which causes the absence of topological states in free-standing Janus SrAlGaTe4. To explore the possible electronic and topological properties, the effects of strain and external electric field, working as effective modulation methods for the electronic properties, were investigated. The SrAlGaTe4 monolayer undergos a direct-to-indirect bandgap transition when the in-plane biaxial compressive strain is -8%. When the tensile strain is 9% or electric field is 0.5 V/Å, the Janus SrAlGaTe4 monolayer exhibits topological insulator (TI) characters, which was confirmed by the evolution of the Wannier charge centers (WCC). And the critical values for the topological transition are the 2% for the biaxial tensile strain, and 0.2 V/Å for the applied electric field. The asymmetric Janus structure induces a Rashba spin splitting not only in the valence band but also in the conduction band near the Fermi level when the spin-orbit coupling (SOC) is present. Our findings offer theoretical insights into the exotic physical properties of SrAlGaTe4 and also provides guides to new spintronic device designs.

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“…The incorporation of topological phases within mechanical metamaterials has enabled defect-immune elastic wave manipulation 1,2 . The topological mechanical metamaterials developed thus far have overwhelmingly focused on confining elastic waves at the boundaries and interfaces of conventional integer-dimensional (1D, 2D, and 3D) periodic mechanical lattices [3][4][5][6] . Recently, topological phases have been derived and theoretically investigated in fractal quantum systems [7][8][9][10][11][12] .…”

Section: Introductionmentioning

confidence: 99%

Uncovering higher-order topological states in fractal mechanical metamaterials

Dorin,

Wang

2024

Active and Passive Smart Structures and Integrated Systems XVIII

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Recently, researchers have incorporated topological phases into mechanical metamaterials to facilitate defect-immune elastic wave and vibration manipulation. The topological mechanical metamaterials developed thus far have achieved extraordinary wave control capabilities through the construction of robust elastic waveguides at the boundaries and interfaces of 1D, 2D, and 3D periodic mechanical lattices. Given the overwhelming focus of previous research on traditional integer-dimensional mechanical architectures, an unexplored opportunity exists to investigate the emergence of topological phases in fractal mechanical metamaterials, which have a non-integer dimension and exhibit self-similarity across multiple scales. This research addresses the unexplored opportunity and advances the state of the art through the synthesis of a 1.89D fractal mechanical metamaterial that harnesses higher-order topological phases to enable multifaceted elastic wave and vibration control. The proposed fractal topological mechanical metamaterial is a thin plate with embedded torsional spring-mass resonators that are arranged into the pattern of a 1.89D Sierpiński carpet. A numerical eigenfrequency analysis uncovers coexisting topological corner and edge states that trap wave energy at the myriad corner and edge interfaces available in the 1.89D fractal. The outcomes from this study provide insight into the attainment of higher-order topological states in fractal metamaterials that localize elastic waves and vibrations across various locations and frequencies, opening the door for future research of topological phases in mechanical metamaterials with fractal architectures.

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Numerical and experimental investigation of second-order mechanical topological insulators

Cited by 19 publications

References 58 publications

Higher-order topological phases in crystalline and non-crystalline systems: a review

Higher-order topological phases in crystalline and non-crystalline systems: a review

Theoretical predicted Janus SrAlGaTe₄: effects of strain and electric field and its topological properties

Uncovering higher-order topological states in fractal mechanical metamaterials

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Numerical and experimental investigation of second-order mechanical topological insulators

Cited by 19 publications

References 58 publications

Higher-order topological phases in crystalline and non-crystalline systems: a review

Higher-order topological phases in crystalline and non-crystalline systems: a review

Theoretical predicted Janus SrAlGaTe4: effects of strain and electric field and its topological properties

Uncovering higher-order topological states in fractal mechanical metamaterials

Contact Info

Product

Resources

About

Theoretical predicted Janus SrAlGaTe₄: effects of strain and electric field and its topological properties