Weak Topological Insulators and Composite Weyl Semimetals: $\beta$-Bi${}_4$X${}_4$ (X=Br, I)

Abstract

While strong topological insulators (STI) have been experimentally realized soon after their theoretical predictions, a weak topological insulator (WTI) has yet to be unambiguously confirmed. A major obstacle is the lack of distinct natural cleavage surfaces to test the surface selective hallmark of WTI. With a new scheme, we discover that Bi${}_4$X${}_4$ (X=Br, I), stable or synthesized before, can be WTI with two natural cleavage surfaces, where two anisotropic Dirac cones stabilize and annihilate, respectively. We further find four surface state Lifshitz transitions under charge doping and two bulk topological phase transitions under uniaxial strain. Near the WTI-STI transition, there emerges a novel Weyl semimetal phase, in which the Fermi arcs generically appear at both cleavage surfaces whereas the Fermi circle only appears at one selected surface.

6 pages, 4 figures

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• Material design with the van der Waals stacking of bismuth-halide chains realizing a higher-order topological insulator
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• Evidence for a strain tuned topological phase transition in ZrTe5
• Angle-resolved photoemission spectroscopy
• Room-temperature quantum spin Hall edge state in a higher-order topological insulator Bi${}_4$Br${}_4$
• Proving Nontrivial Topology of Pure Bismuth by Quantum Confinement
• Circumventing the no-go theorem: A single Weyl point surrounded by nodal walls
• Topological Triply Degenerate Points Induced by Spin-Tensor-Momentum Couplings
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• Room-Temperature Topological Phase Transition in Quasi-One-Dimensional Material Bi${}_4$I${}_4$
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• Pressure effect and Superconductivity in $\beta$-Bi${}_4$I${}_4$ Topological Insulator
• From Node-Line Semimetals to Large Gap QSH States in New Family of Pentagonal Group-IVA Chalcogenide
• Epitaxial Growth of Quasi-One-Dimensional Bismuth-Halide Chains with Topological Non-Trivial Edge States
• Towards Layer-Selective Quantum Spin Hall Channels in Weak Topological Insulator Bi4Br2I2
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• Boundary Topological Superconductors
• Space group constraints on weak indices in topological insulators
• Phase diagrams of Weyl semimetals with competing intraorbital and interorbital disorders
• Composite Dirac Semimetal
• Quantum transport properties of beta-Bi4I4 near and well beyond the extreme quantum limit
• Nodal line semimetal states in positive electrode material of lead-acid battery: Lead dioxide family and its derivatives
• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• A robust weak topological insulator in a bismuth halide Bi4Br2I2
• Topological Phase Transition in Quasi-One-Dimensional Bismuth Iodide Bi4I4
• Transport Spectroscopy of the Field Induced Cascade of Lifshitz Transitions in YbRh2Si2
• Mass Acquisition of Dirac Fermions in Bi4I4 by Spontaneous Symmetry Breaking
• Quasi-One-Dimensional Higher-Order Topological Insulators
• Chemical Gating of a Weak Topological Insulator: Bi14Rh3I9
• A strongly robust Weyl fermion semimetal state in Ta${}_3$S${}_2$
• Effective Spin-2 Quasi-particles at Linear Dispersive Five-fold Degenerate Points with Tunable Topological Chern Numbers
• Shear-resistant topology in quasi one-dimensional van der Waals material Bi${}_4$Br${}_4$
• Signature of quantum phase transition manifested in quantum fidelity at finite temperature
• Concurrence of topological electrons and magnons in the Kagome ferromagnet CoCu3(OH)6Cl2
• Topological defect-mediated corner states and higher-order bulk topology in a two-dimensional crystalline insulator
• A weak topological insulator state in quasi-one-dimensional superconductor TaSe${}_3$
• Optical Response from Charge-Density Waves in Weyl Semimetals
• Phonons Drive the Topological Phase Transition in Quasi-One-Dimensional Bi${}_4$I${}_4$