Study of counterintuitive transport properties in the Aubry-André-Harper model via entanglement entropy and persistent current

Roy, Nilanjan; Sharma, Auditya

doi:10.1103/physrevb.100.195143

Cited by 33 publications

(44 citation statements)

References 52 publications

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“…As a consequence, all the eigenstates are delocalized in position space for λ < 2J and localized for λ > 2J [57]. Some fillingfraction dependent properties of the AAH model have also been reported [42,60].…”

Section: The Modelmentioning

confidence: 81%

Entanglement entropy and out-of-time-order correlator in the long-range Aubry–André–Harper model

Roy

Sharma

2021

J. Phys.: Condens. Matter

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We investigate the nonequilibrium dynamics of entanglement entropy and out-of-time-order correlator (OTOC) of noninteracting fermions at half-filling starting from a product state to distinguish the delocalized, multifractal (in the limit of nearest neighbor hopping), localized and mixed phases hosted by the quasiperiodic Aubry-André-Harper (AAH) model in the presence of long-range hopping. For sufficiently long-range hopping strength a secondary logarithmic behavior in the entanglement entropy is found in the mixed phases whereas the primary behavior is a power-law the exponent of which is different in different phases. The saturation value of entanglement entropy in the delocalized, multifractal and mixed phases depends linearly on system size whereas in the localized phase (in the short-range regime) it is independent of system size. The early-time growth of OTOC shows very different power-law behaviors in the presence of nearest neighbor hopping and long-range hopping. The late time decay of OTOC leads to noticeably different power-law exponents in different phases. The spatial profile of OTOC and its system-size dependence also provide distinct features to distinguish phases. In the mixed phases the spatial profile of OTOC shows two different dependences on space for small and large distances respectively. Interestingly the spatial profile contains large fluctuations at the special locations related to the quasiperiodicity parameter in the presence of multifractal states.

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Section: The Modelmentioning

confidence: 81%

Entanglement entropy and out-of-time-order correlator in the long-range Aubry–André–Harper model

Roy

Sharma

2021

J. Phys.: Condens. Matter

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“…As a consequence, all the eigenstates are delocalized in position space for λ < 2J and localized for λ > 2J 57 . Some filling-fraction dependent properties of the AAH model have also been reported 42,60 .…”

Section: The Modelmentioning

confidence: 87%

Entanglement entropy and out-of-time-order correlator in the long-range Aubry-André-Harper model

Roy,

Sharma

2021

Preprint

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We investigate the nonequilbrium dynamics of entanglement entropy and out-of-time-order correlator (OTOC) of noninteracting fermions at half-filling starting from a product state to distinguish the delocalized, multifractal (in the limit of nearest neighbor hopping), localized and mixed phases hosted by the quasiperiodic Aubry-André-Harper (AAH) model in the presence of long-range hopping. For sufficiently long-range hopping strength a secondary logarithmic behavior in the entanglement entropy is found in the mixed phases whereas the primary behavior is a power-law the exponent of which is different in different phases. The saturation value of entanglement entropy in the delocalized, multifractal and mixed phases depends linearly on system size whereas in the localized phase (in the short-range regime) it is independent of system size. The early-time growth of OTOC shows very different power-law behaviors in the presence of nearest neighbor hopping and long-range hopping. The late time decay of OTOC leads to noticeably different power-law exponents in different phases. The spatial profile of OTOC and its system-size dependence also provide distinct features to distinguish phases. In the mixed phases the spatial profile of OTOC shows two different dependences on space for small and large distances respectively. Interestingly the spatial profile contains large fluctuations at the special locations related to the quasiperiodicity parameter in the presence of multifractal states.

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“…Now, this spin-dependent transport [ 32 , 55 , 60 , 61 ] behavior can be tuned externally by modifying the characteristics of NM spacer and ferromagnetic layers. The site energies of the NM spacer is altered by cosine modulation following the AAH form [ 62 , 63 , 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 , 72 , 73 ], whereas the hopping parameter in ferromagnetic chains is rearranged by Floquet–Bloch anstaz [ 60 , 74 , 75 , 76 , 77 , 78 , 79 ] within a minimal coupling scheme due to light irradiation on them. The Hamiltonian of a layered nanojunction is constructed with the TB approximation [ 31 , 67 ] including only the contribution from the nearest-neighbor hopping (NNH) integral.…”

Section: Introductionmentioning

confidence: 99%

Possible Routes to Obtain Enhanced Magnetoresistance in a Driven Quantum Heterostructure with a Quasi-Periodic Spacer

et al. 2021

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In this work, we perform a numerical study of magnetoresistance in a one-dimensional quantum heterostructure, where the change in electrical resistance is measured between parallel and antiparallel configurations of magnetic layers. This layered structure also incorporates a non-magnetic spacer, subjected to quasi-periodic potentials, which is centrally clamped between two ferromagnetic layers. The efficiency of the magnetoresistance is further tuned by injecting unpolarized light on top of the two sided magnetic layers. Modulating the characteristic properties of different layers, the value of magnetoresistance can be enhanced significantly. The site energies of the spacer is modified through the well-known Aubry–André and Harper (AAH) potential, and the hopping parameter of magnetic layers is renormalized due to light irradiation. We describe the Hamiltonian of the layered structure within a tight-binding (TB) framework and investigate the transport properties through this nanojunction following Green’s function formalism. The Floquet–Bloch (FB) anstaz within the minimal coupling scheme is introduced to incorporate the effect of light irradiation in TB Hamiltonian. Several interesting features of magnetotransport properties are represented considering the interplay between cosine modulated site energies of the central region and the hopping integral of the magnetic regions that are subjected to light irradiation. Finally, the effect of temperature on magnetoresistance is also investigated to make the model more realistic and suitable for device designing. Our analysis is purely a numerical one, and it leads to some fundamental prescriptions of obtaining enhanced magnetoresistance in multilayered systems.

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Study of counterintuitive transport properties in the Aubry-André-Harper model via entanglement entropy and persistent current

Cited by 33 publications

References 52 publications

Entanglement entropy and out-of-time-order correlator in the long-range Aubry–André–Harper model

Entanglement entropy and out-of-time-order correlator in the long-range Aubry–André–Harper model

Entanglement entropy and out-of-time-order correlator in the long-range Aubry-André-Harper model

Possible Routes to Obtain Enhanced Magnetoresistance in a Driven Quantum Heterostructure with a Quasi-Periodic Spacer

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