We introduce a two-dimensional short-range correlated disorder that is the natural generalization of the well-known one-dimensional dual random dimer model [D. H. Dunlap et al., Phys. Rev. Lett. 65, 88 (1990)]. We demonstrate that, as in one dimension, this model induces a localization-delocalization transition in the single-particle spectrum. Moreover we show that the effect of such a disorder on a weakly interacting boson gas is to enhance the condensate spatial homogeneity and delocalization and to increase the condensate fraction around an effective resonance of the two-dimensional dual dimers. This study proves that short-range correlations of a disordered potential can enhance the quantum coherence of a weakly interacting many-body system.We introduce a two-dimensional short-range correlated disorder that is the natural generalization of the well-known one-dimensional dual random dimer model [D. H. Dunlap et al., Phys. Rev. Lett. 65, 88 (1990)]. We demonstrate that, as in one dimension, this model induces a localization-delocalization transition in the single-particle spectrum. Moreover we show that the effect of such a disorder on a weakly interacting boson gas is to enhance the condensate spatial homogeneity and delocalization and to increase the condensate fraction around an effective resonance of the two-dimensional dual dimers. This study proves that short-range correlations of a disordered potential can enhance the quantum coherence of a weakly interacting many-body system.

arXiv:1510.01883Physical Review ANov 20, 20155 citations

Effects of interactions and disorder in two dimensions

S. V. Kravchenko

Solid State CommunicationsJul 21, 20077 citations

Interchain coupling induced localization/delocalization in coupled one-dimensional ordered and disordered chains

Wei Zhang, Rong Yang, Zhao Yi +3 more

A different type of system with coupled ordered-disordered chains has given rise to considerable interest recently, as it has a variety of applications in nanostructures and biological systems such as DNA molecules. We investigate the localization/delocalization of coupled one-dimensional systems composed of one disordered chain (chain I) and another ordered chain (chain II), focusing on the interplay among the disorder, correlation, and interchain coupling. We find that for systems where chain I exhibits uncorrelated disorder, charge transport in chain I (II) is enhanced (suppressed), as the disorder in chain I leads to the localization of all states in both chains. However, for chain I with hopping amplitude ${t}_{1}$ and long-range correlated disorder (with power-law spectral density and disorder strength $W$ ), we find there is a localization/delocalization transition for the case $W\ensuremath{\le}4{t}_{1}$, induced by interchain coupling. For $W>4{t}_{1}$ , we find there is a quantum-phase transition at finite interchain coupling ${V}_{c}$ : The interchain coupling induces appearance of two channels of extended states for $V>{V}_{c}$ while there is only one channel of extended states for $V<{V}_{c}$ .A different type of system with coupled ordered-disordered chains has given rise to considerable interest recently, as it has a variety of applications in nanostructures and biological systems such as DNA molecules. We investigate the localization/delocalization of coupled one-dimensional systems composed of one disordered chain (chain I) and another ordered chain (chain II), focusing on the interplay among the disorder, correlation, and interchain coupling. We find that for systems where chain I exhibits uncorrelated disorder, charge transport in chain I (II) is enhanced (suppressed), as the disorder in chain I leads to the localization of all states in both chains. However, for chain I with hopping amplitude ${t}_{1}$ and long-range correlated disorder (with power-law spectral density and disorder strength $W$), we find there is a localization/delocalization transition for the case $W\ensuremath{\le}4{t}_{1}$, induced by interchain coupling. For $W>4{t}_{1}$, we find there is a quantum-phase transition at finite interchain coupling ${V}_{c}$: The interchain coupling induces appearance of two channels of extended states for $V>{V}_{c}$ while there is only one channel of extended states for $V<{V}_{c}$.

Physical Review BJun 18, 201025 citations

Partial delocalization of the ground state by repulsive interactions in a disordered chain

Rodolfo A. Jalabert, Dietmar Weinmann A, Jean‐Louis Pichard

Physica E Low-dimensional Systems and NanostructuresMar 1, 20012 citations

{t}_{1}

and long-range correlated disorder (with power-law spectral density and disorder strength

W

), we find there is a localization/delocalization transition for the case $W\ensuremath{\le}4{t}_{1}$, induced by interchain coupling. For

W>4{t}_{1}

, we find there is a quantum-phase transition at finite interchain coupling

{V}_{c}

: The interchain coupling induces appearance of two channels of extended states for

V>{V}_{c}

while there is only one channel of extended states for

V<{V}_{c}