Topological entanglement entropy of interacting disordered zigzag graphene ribbons

Heon, Kim, Young; Lee, Hye Jeong; Yang, S.-R. Eric

doi:10.1103/physrevb.103.115151

Cited by 7 publications

(15 citation statements)

References 26 publications

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“…In the limit of small doping and in weak disorder regime, ribbons with a sharp midgap peak in the DOS have a universal value of the TEE 16 . When doping is high enough, the midgap peak disappears, as does the exact fractionalization of zero energy states.…”

Section: Discussionmentioning

confidence: 99%

“…It may be worthwhile to probe the topological phase transition as doping concentration increases. The following issues must be addressed: Does the TEE of doped disordered ribbons decay to zero as a function of doping concentration, and does the transition exhibit non-universal dependence on physical parameters 16 ? This investigation may require very high cpu resources to compute accurately small values of the TEE 16 .…”

Section: Discussionmentioning

confidence: 99%

“…The following issues must be addressed: Does the TEE of doped disordered ribbons decay to zero as a function of doping concentration, and does the transition exhibit non-universal dependence on physical parameters 16 ? This investigation may require very high cpu resources to compute accurately small values of the TEE 16 . This type of calculation could provide more information about the phase transition from modulated ferromagnetic edges at zero doping to distorted spin-wave edges at finite doping…”

Section: Discussionmentioning

confidence: 99%

“…The shape of the entanglement spectrum is computed and found to be similar to the DOS of the edge states (see Supplementary material). The entanglement spectrum of undoped interacting disordered zigzag ribbons differs from that of zigzag ribbons in the disorder-free SPT phase 16 . As more electrons are added, the sharp peak at the midgap energy disappears in the DOS, but the two side peaks near E ∼ ±0.05∆/2 persist, as shown in Fig.…”

Section: New Anyon Phase and Tdos Of Low Doping Regionmentioning

confidence: 91%

“…1. Furthermore, numerical work 16 showed that an interacting disordered zigzag nanoribbon has a finite TEE.…”

Section: Introductionmentioning

confidence: 99%

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New disordered anyon phase of doped graphene zigzag nanoribbon

Heon

Lee

et al. 2022

Sci Rep

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We investigate interacting disordered zigzag nanoribbons at low doping, using the Hubbard model to treat electron interactions within the density matrix renormalization group and Hartree-Fock method. Extra electrons that are inserted into an interacting disordered zigzag nanoribbon divide into anyons. Furthermore, the fractional charges form a new disordered anyon phase with a highly distorted edge spin density wave, containing numerous localized magnetic moments residing on the zigzag edges, thereby displaying spin-charge separation and a strong non-local correlation between the opposite zigzag edges. We make the following new predictions, which can be experimentally tested: (1) In the low doping case and weak disorder regime, the soft gap in the tunneling density of states is replaced by a sharp peak at the midgap energy with two accompanying peaks. The $$e^-/2$$ e - / 2 fractional charges that reside on the boundary of the zigzag edges are responsible for these peaks. (2) We find that the midgap peak disappears as the doping concentration increases. The presence of $$e^-/2$$ e - / 2 fractional charges will be strongly supported by the detection of these peaks. Doped zigzag ribbons may also exhibit unusual transport, magnetic, and inter-edge tunneling properties.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: New Anyon Phase and Tdos Of Low Doping Regionmentioning

confidence: 91%

“…1. Furthermore, numerical work 16 showed that an interacting disordered zigzag nanoribbon has a finite TEE.…”

Section: Introductionmentioning

confidence: 99%

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New disordered anyon phase of doped graphene zigzag nanoribbon

Heon

Lee

et al. 2022

Sci Rep

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Quantum discord in zigzag graphene nanoribbons

Tan,

Song,

Shi

et al. 2025

Physica E: Low-dimensional Systems and Nanostructures

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Dynamics of quantum entanglement in a zigzag graphene nanoribbon

Tan¹,

Cui²,

Song³

2021

J. Phys.: Condens. Matter

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We study the dynamics of entanglement between two edge spins in a zigzag graphene nanoribbon (ZGNR) which is thermalized with a reservoir at temperature T. The results show that the entanglement evolution displays oscillating behaviors in the presence of an external magnetic field. Such oscillating behaviors of entanglement strongly depend on the field frequency and relative location between two inter-edge coupled spins. At some critical field frequencies, the entanglement exhibits a periodic structure. When the temperature is low, the oscillating patterns of entanglement are quite regular and symmetrical. When the temperature is high, the patterns of entanglement evolution occur irregular distortions due to the thermal fluctuations. However, the entanglement between two inter-edge coupled spins in ZGNR still exists a nontrivial value even at room temperature.

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Topological entanglement entropy of interacting disordered zigzag graphene ribbons

Cited by 7 publications

References 26 publications

New disordered anyon phase of doped graphene zigzag nanoribbon

New disordered anyon phase of doped graphene zigzag nanoribbon

Quantum discord in zigzag graphene nanoribbons

Dynamics of quantum entanglement in a zigzag graphene nanoribbon

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