Bismuth halide chains Bi₄Br₄

Bi₄Br₄, Bi₄I₄

Also called Bi₄I₄, bismuth bromide chains

van der Waals crystal insulator

A crystal where the conducting channel is an edge of an edge. Ordinary topological insulators conduct on every surface; Bi4Br4 is a higher-order topological insulator, where the surfaces are gapped and current instead runs along the hinges where two surfaces meet – one-dimensional channels inside a three-dimensional crystal, built by stacking bismuth-halide chains. Because the stacking sets the topology, the related Bi4I4 can be pushed between different topological phases.

Crystal structure

  • Br
  • Bi
Cell
Rectangular, a = 13.06 Å (across chains), b = 4.34 Å (along chains)
Atoms per cell
16
Bi–Bi bonds
3.02 and 3.04 Å
Bi–Br bonds
2.94 and 2.95 Å
Height
7.26 Å between the outer atom centres
Each chain is a strip of bismuth atoms bonded to one another and wrapped on both edges by bromine, and the chains lie side by side to make the layer. How consecutive layers are shifted relative to each other decides the topology: one stacking makes Bi4Br4 a higher-order topological insulator, another a weak one, which is why thin flakes are studied for the edge and hinge states that follow. One layer of bulk Bi4Br4 (von Benda, Simon and Bauhofer, Zeitschrift für anorganische und allgemeine Chemie 438, 53, 1978; COD 1528272): a = 13.06 Å across the chains, b = 4.34 Å along them, Bi–Bi 3.02–3.04 Å.

Key properties

  • Photoemission finds gapped states on the side surface with in-gap states connecting valence and conduction bands – the signature of hinge conduction
  • The measured dispersion and spin polarisation match calculations for a higher-order topological insulator
  • Chains give strongly anisotropic electronic structure, and the stacking sequence – not the chemistry – decides which topological phase appears
  • Bi4I4 is the sister compound, used to move between topological phases by changing stacking or temperature

How it is made

  • Bulk crystals from the melt or by vapour transport, growing as needle-like bundles of chains
  • Mechanical exfoliation into thin flakes and nanobelts, cleaving between chains
  • Micro-focused photoemission on the small side facets, which is where the hinge signature shows up

Uses, and how close they are

  • Model system for higher-order topology and one-dimensional spin channelslab

Readiness runs lab → prototype → pilot → deployed.

Open problems

  1. Can hinge conduction be measured in transport, cleanly separated from bulk and surface contributions?
  2. How robust are the hinge states to disorder, steps and the stacking faults that these chain crystals form easily?
  3. Can the topological phase be switched on purpose by strain or by changing the stacking?

Going deeper

Short notes for specialists. Choose a lens in the header and yours comes first.

For theoreticians · your lens

A textbook higher-order topological insulator: the bulk is gapped, the surfaces are gapped, and the topology shows up as one-dimensional hinge modes protected by the crystal symmetry rather than by time reversal alone. Because the building block is a chain, the interchain and interlayer couplings – both weak and dispersion-bound – control the gap and the topological index, so predictions depend on getting the stacking and the van der Waals corrections right.

For experimentalists · your lens

The evidence lives on the small facets: measure the side surface, not the easy cleave plane, and use spatially resolved photoemission. Report the stacking polytype, since it determines the phase, and check for stacking faults. In transport, the hinge contribution scales with perimeter rather than area, which is the cleanest way to separate it from the bulk.

For engineers · your lens

Not a device material. Its interest is scientific: a demonstration that topology can confine conduction to a line inside a crystal, which is the geometry spintronics keeps asking for.

In the research tracks

Recent news

The newest items tagged Bi4Br4, from the news feed updated 5 Oct 2026.

Preprintnot yet peer reviewed arXiv

Charge density wave in a band insulator

Charge density wave (CDW) implies a periodic modulation of the charge density. Typically observed in metallic systems, CDWs arise from Fermi surface instabilities, resulting in the total or partial gapping of the Fermi surface. Here, we present experimental evidence for a CDW state emerging in a band insulator which…

TheoryExperimentBi₄Br₄
Preprintnot yet peer reviewed arXiv

Three-dimensional topological ferroelectrics

Three-dimensional (3D) topological ferroelectric (FE) insulators, in which topological and FE orders naturally coexist, enable field-controlled spintronic devices. In this work, we predict a new structure of bismuth monohalides Bi4Br4 and Bi4I4, denoted γ phase, and demonstrate that it is an ideal 3D topological FE…

Preprintnot yet peer reviewed arXiv

Three-dimensional topological ferroelectrics

Three-dimensional (3D) topological ferroelectric (FE) insulators, in which topological and FE orders naturally coexist, enable field-controlled spintronic devices. In this work, we predict a new structure of bismuth monohalides Bi4Br4 and Bi4I4, denoted γ phase, and demonstrate that it is an ideal 3D topological FE…

Preprintnot yet peer reviewed arXiv

Phonon Signatures of Near-Room-Temperature Phase Transition in Quasi-One-Dimensional Bi4I4 Topological van der Waals Material

The quasi-one-dimensional material Bi4I4 hosts two crystallographically similar polymorphs that realize distinct topological insulating phases separated by a first-order structural transition near room temperature. This transition occurs without a change in space group, arising instead from a subtle rearrangement of…

TheoryExperimentBi₄Br₄

All 5 items tagged Bi₄Br₄ in the news feed  ·  RSS feed for Bi₄Br₄

Key references

  1. A novel quasi-one-dimensional topological insulator in bismuth iodide β-Bi4I4Autès et al. · Nature Materials 15, 154 (2016)cited by 131doi:10.1038/nmat4488
  2. A weak topological insulator state in quasi-one-dimensional bismuth iodideNoguchi et al. · Nature 566, 518 (2019)cited by 174doi:10.1038/s41586-019-0927-7
  3. Efficient topological materials discovery using symmetry indicatorsTang et al. · Nature Physics 15, 470 (2019)cited by 205doi:10.1038/s41567-019-0418-7
  4. Evidence for a higher-order topological insulator in a three-dimensional material built from van der Waals stacking of bismuth-halide chainsNoguchi et al. · Nature Materials 20, 473 (2021)cited by 176doi:10.1038/s41563-020-00871-7
  5. Topological electronic structure and spin texture of quasi-one-dimensional higher-order topological insulator Bi4Br4Zhao et al. · Nature Communications 14, 8089 (2023)cited by 36doi:10.1038/s41467-023-43882-z