Topological Anderson insulators induced by random binary disorders

Liu, Shuna; Zhang, Guo-Qing; Tang, Ling‐Zhi; Zhang, Dan‐Wei

doi:10.1016/j.physleta.2022.128004

Cited by 12 publications

(3 citation statements)

References 74 publications

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“…For strong disorder, the non-trivial topological states can break down due to localisation. However, in some systems, strong disorder causes phase transitions from topologically trivial to non-trivial states, such as topological Anderson insulators 45 , 46 or disorder-induced topological Floquet insulators 47 . Quantised topological invariants are related to symmetries, but these can be broken into strongly disordered crystals.…”

Section: Resultsmentioning

confidence: 99%

Tuning electronic and phononic states with hidden order in disordered crystals

Roth

Goodwin

2023

Nat Commun

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Disorder in crystals is rarely random, and instead involves local correlations whose presence and nature are hidden from conventional crystallographic probes. This hidden order can sometimes be controlled, but its importance for physical properties of materials is not well understood. Using simple models for electronic and interatomic interactions, we show how crystals with identical average structures but different types of hidden order can have very different electronic and phononic band structures. Increasing the strength of local correlations within hidden-order states can open band gaps and tune mode (de)localisation—both mechanisms allowing for fundamental changes in physical properties without long-range symmetry breaking. Taken together, our results demonstrate how control over hidden order offers a new mechanism for tuning material properties, orthogonal to the conventional principles of (ordered) structure/property relationships.

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Section: Resultsmentioning

confidence: 99%

Tuning electronic and phononic states with hidden order in disordered crystals

Roth

Goodwin

2023

Nat Commun

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show abstract

“…For strong disorder the non-trivial topological states can break down due to localisation. However, in some systems, strong disorder causes phase transitions from topologically-trivial to nontrivial states, such as topological Anderson insulators (TAIs) 41,42 or disorder-induced topological Floquet insulators 43 . Quantised topological invariants are related to symmetries, but these can be broken in strongly disordered crystals.…”

Section: Discussionmentioning

confidence: 99%

Tuning electronic and phononic states with hidden order in disordered crystals

Roth¹,

Goodwin²

2023

Preprint

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Disorder in crystals is rarely random, and instead involves local correlations whose presence and nature are hidden from conventional crystallographic probes. This hidden order can sometimes be controlled, but its importance for physical properties of materials is not well understood. Using simple models for electronic and interatomic interactions, we show how crystals with identical average structures but different types of hidden order can have very different electronic and phononic band structures. Increasing the strength of local correlations within hidden-order states can open band gaps and tune mode (de)localisation-both mechanisms allowing for fundamental changes in physical properties without long-range symmetry breaking. Taken together, our results demonstrate how control over hidden order offers a new mechanism for tuning material properties, orthogonal to the conventional principles of (ordered) structure/property relationships.

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“…Note added : After finishing up this work, we became aware of a related work about the SSH model with the random binary disordered hoppings in Ref. [53].…”

Section: Discussionmentioning

confidence: 99%

Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder

Zuo,

Kang

2022

Preprint

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The question of whether the topological insulators can host a stable nontrivial phase in the presence of spatially correlated disorder is a fundamental question of interest. Based on theoretical investigations, we analyze the effect of random-dimer disorder on the quantum phase transitions of the Su-Schrieffer-Heeger model. We explicitly demonstrate that due to the absence of symmetry, there are no in-gap edge states in certain disordered topological nontrivial gapped phase and the bulk-boundary correspondence breaks down. However, the fractionalized end charges still appear at the ends of the chain. The energy distribution possibility of the in-gap edge states and the possible values of fractionalized end charge are dependent on the concentration of random-dimer disorder. On the other hand, the random-dimer disorder and dimer hopping intertwine in an interesting way. The reentrant localization transition behavior appears, which is evidenced by the fingerprint of the inverse participation ratio, normalized participation ratio, and tunneling conductivity.

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Topological Anderson insulators induced by random binary disorders

Cited by 12 publications

References 74 publications

Tuning electronic and phononic states with hidden order in disordered crystals

Tuning electronic and phononic states with hidden order in disordered crystals

Tuning electronic and phononic states with hidden order in disordered crystals

Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder

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