Metal-Insulator Transition in an Aperiodic Ladder Network: An Exact Result

Sil, Shreekantha; Maiti, Santanu K.; Chakrabarti, Abhijit

doi:10.1103/physrevlett.101.076803

Cited by 83 publications

(101 citation statements)

References 41 publications

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“…Sil et al have shown that a ladder network, consisting of two identical AA chains, exhibits an MIT at multiple Fermi energies in the presence of next-nearestneighbor (NNN) hopping. 21 Biddle et al have studied the localization properties of the AA chain by considering non-nearest-neighbor hopping and found the mobility edges.…”

Section: -14mentioning

confidence: 99%

Delocalization and scaling properties of low-dimensional quasiperiodic systems

2014

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In this paper, we explore the localization transition and the scaling properties of both quasione-dimensional and two-dimensional quasiperiodic systems, which are constituted from coupling several Aubry-André (AA) chains along the transverse direction, in the presence of next-nearestneighbor (NNN) hopping. The localization length, two-terminal conductance, and participation ratio are calculated within the tight-binding Hamiltonian. Our results reveal that a metal-insulator transition could be driven in these systems not only by changing the NNN hopping integral but also by the dimensionality effects. These results are general and hold by coupling distinct AA chains with various model parameters. Furthermore, we show from finite-size scaling that the transport properties of the two-dimensional quasiperiodic system can be described by a single parameter and the scaling function can reach the value 1, contrary to the scaling theory of localization of disordered systems. The underlying physical mechanism is discussed.

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Section: -14mentioning

confidence: 99%

Delocalization and scaling properties of low-dimensional quasiperiodic systems

2014

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“…The metal-insulator (MI) transition is one of the most significant phenomena in condensed matter physics [1][2][3][4][5] . The usual band structure predictions are not capable of exploring many experimental evidences.…”

Section: Introductionmentioning

confidence: 99%

Metal–insulator transition in an one-dimensional half-filled interacting mesoscopic ring with spinless fermions: Exact results

Saha

Maiti

2016

Physics Letters A

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We calculate persistent current of one-dimensional rings of fermions neglecting the spin degrees of freedom considering only nearest-neighbor Coulomb interactions with different electron fillings in both ordered and disordered cases. We treat the interaction exactly and find eigenenergies by exact diagonalization of many-body Hamiltonian and compute persistent current by numerical derivative method. We also determine Drude weight to estimate the conducting nature of the system. From our numerical results, we obtain a metal-insulator transition in half-filled case with increasing correlation strength U but away from half-filling no such transition is observed even for large U .

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“…3(b) we obtain β=−1], due to the Anderson localization effects, although they possess either the diagonal disorder (dashed lines) or the off-diagonal disorder (dotted lines) and are more ordered than the former case. the disorder degree is very large [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33], we can see from Fig. 3(c) that ξ L is independent of W for the former ladder and all states are always extended in the gray energy region [ Fig.…”

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Universal scheme to generate metal–insulator transition in disordered systems

Guo

Xiong

Xie

et al. 2013

J. Phys.: Condens. Matter

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We propose a scheme to generate metal-insulator transition in random binary layer (RBL) model, which is constructed by randomly assigning two types of layers. Based on a tight-binding Hamiltonian, the localization length is calculated for a variety of RBLs with different cross section geometries by using the transfer-matrix method. Both analytical and numerical results show that a band of extended states could appear in the RBLs and the systems behave as metals by properly tuning the model parameters, due to the existence of a completely ordered subband, leading to a metal-insulator transition in parameter space. Furthermore, the extended states are irrespective of the diagonal and off-diagonal disorder strengths. Our results can be generalized to two-and three-dimensional disordered systems with arbitrary layer structures, and may be realized in Bose-Einstein condensates.

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Metal-Insulator Transition in an Aperiodic Ladder Network: An Exact Result

Cited by 83 publications

References 41 publications

Delocalization and scaling properties of low-dimensional quasiperiodic systems

Delocalization and scaling properties of low-dimensional quasiperiodic systems

Metal–insulator transition in an one-dimensional half-filled interacting mesoscopic ring with spinless fermions: Exact results

Universal scheme to generate metal–insulator transition in disordered systems

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