Su–Schrieffer–Heeger model¶
In condensed matter physics, the Su–Schrieffer–Heeger (SSH) model or SSH chain is a one-dimensional lattice model that presents topological features.
Core Idea¶
Su–Schrieffer–Heeger model is treated here as the recurring naturalsciencesengineeringhealth identity summarized by this source-grounded definition: In condensed matter physics, the Su–Schrieffer–Heeger (SSH) model or SSH chain is a one-dimensional lattice model that presents topological features. In condensed matter physics, the Su–Schrieffer–Heeger (SSH) model or SSH chain is a one-dimensional lattice model that presents topological features. It was devised by Wu-Pei Su, John Robert Schrieffer, and Alan J. Heeger in 1979, to describe the increase of electrical conductivity of polyacetylene polymer chain when doped, based on the existence of solitonic.
Scope of Application¶
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Intermediate values. By plotting the eigenstates of the finite chain as function of position, one can show that there are two distinct kinds of states.
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Intermediate values. For non-zero eigenenergies, the corresponding wavefunctions would be delocalized all along the chain while the zero energy eigenstates would portray localized amplitudes at the edge sites.
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Intermediate values. By plotting the spectrum as a function of v for a fixed value of w , the spectrum is divided into two insulating regions divided by the metallic intersection at w=v .
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Correspondence between finite and bulk solutions. The bulk case allows to predict which insulating region would present edge states, depending on the value of the winding number in the bulk case.
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Documented setting. For the finite chain, there exists an insulating phase that is topologically non-trivial and allows for the existence of edge states that are localized at the boundaries.
Clarity¶
A clear use of Su–Schrieffer–Heeger model names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is In condensed matter physics, the Su–Schrieffer–Heeger (SSH) model or SSH chain is a one-dimensional lattice model that presents topological features.
Manages Complexity¶
Su–Schrieffer–Heeger model compresses multiple naturalsciencesengineeringhealth details into a stable diagnostic relation. The source shows both the central mechanism—the dispersion relation for the bulk can be obtained through a Fourier transform.—and the practical consequence—the bulk case allows to predict which insulating region would present edge states, depending on the value of the winding number in the bulk case.
Abstract Reasoning¶
- Type the carrier. Identify the naturalsciencesengineeringhealth entities to which the claim applies.
- State the relation. Use the source-grounded identity: In condensed matter physics, the Su–Schrieffer–Heeger (SSH) model or SSH chain is a one-dimensional lattice model that presents topological features.
- Check operation and conditions. Taking periodic boundary conditions |N+1,X\rangle=|1,X\rangle , where X=A,B , we pass to k-space by doing.
- Demand recognition evidence.
Knowledge Transfer¶
Within the home domain. Knowledge about Su–Schrieffer–Heeger model transfers literally when a new case preserves the same carrier type, relation, and recognition test. By plotting the eigenstates of the finite chain as function of position, one can show that there are two distinct kinds of states. For non-zero eigenenergies, the corresponding wavefunctions would be delocalized all along the chain while the zero energy eigenstates would portray localized amplitudes at the edge sites. Beyond the home domain. No canonical parent is asserted for Su–Schrieffer–Heeger model.
Relationships to Other Abstractions¶
Current abstraction Su–Schrieffer–Heeger model Domain-specific
Parents (1) — more general patterns this builds on
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Su–Schrieffer–Heeger model is a kind of Lattice Model (Physics) Domain-specific
The SSH model is a one-dimensional lattice model with alternating couplings and a topological band structure.
Hierarchy path (1) — routes to 1 parentless root
- Su–Schrieffer–Heeger model → Lattice Model (Physics) → Physical-System Model → Representation → Abstraction
Neighborhood in Abstraction Space¶
Su–Schrieffer–Heeger model sits in a crowded region of the domain-specific corpus (33rd percentile for distinctiveness): several abstractions share nearly its structure, so a description that fits it tends to fit its neighbors too.
Family — Condensed Matter & Physical Chemistry Models (26 abstractions)
Nearest neighbors
- Crystal momentum — 0.90
- Dephasing rate SP formula — 0.89
- Hubbard model — 0.88
- Single Vegetative Obstruction Model — 0.88
- Mehler Kernel — 0.88
Computed from structural-signature embeddings · 2026-10-08