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Low-disorder and high-mobility 2D electron (or hole) systems undergo an apparent metal-insulator-transition (MIT) at low temperatures as the carrier density (n) is varied. In some situations, the 2D MIT can be caused at a fixed low carrier…

Mesoscale and Nanoscale Physics · Physics 2015-08-06 S. Das Sarma , E. H. Hwang

Electrons (or holes) confined in 2D semiconductor layers have served as model systems for studying disorder and interaction effects for almost 50 years. In particular, strong disorder drives the metallic 2D carriers into a strongly…

Mesoscale and Nanoscale Physics · Physics 2023-05-29 Seongjin Ahn , Sankar Das Sarma

We theoretically consider the problem of doping induced insulator to metal transition in bulk semiconductors by obtaining the transition density as a function of compensation, assuming that the transition is an Anderson localization…

Disordered Systems and Neural Networks · Physics 2023-08-14 Prathyush P. Poduval , Sankar Das Sarma

A study of the temperature (T) and density (n_s) dependence of conductivity \sigma(n_s,T) of a highly disordered, two-dimensional (2D) electron system in Si demonstrates scaling behavior consistent with the existence of a metal-insulator…

Disordered Systems and Neural Networks · Physics 2015-05-06 Ping V. Lin , Dragana Popović

Recently, a metal-insulator transition (MIT) was found in the anisotropic Anderson model of localization by transfer-matrix methods (TMM). This MIT has been also investigated by multifractal analysis (MFA) and the same critical disorders…

Disordered Systems and Neural Networks · Physics 2017-09-27 Frank Milde , Rudolf A. Römer

Several phenomena related to the critical behaviour of non-interacting electrons in a disordered 2d tight-binding system with a magnetic field are studied. Localization lengths, critical exponents and density of states are computed using…

Disordered Systems and Neural Networks · Physics 2009-10-31 Marc Ruhlander , C. M. Soukoulis

In contrast to the seminal weak localization prediction of a non-critical Hall constant ($R_{H}$) at the Anderson metal-insulator transition (MIT), $R_{H}$ in quite a few real disordered systems exhibits both, a strong $T$-dependence and…

Strongly Correlated Electrons · Physics 2017-10-11 P. Haldar , M. S. Laad , S. R. Hassan , Madhavi Chand , Pratap Raychaudhuri

We develop a minimal theory for the recently observed metal-insulator transition (MIT) in two-dimensional (2D) moir\'e multilayer transition metal dichalcogenides (mTMD) using Coulomb disorder in the environment as the underlying mechanism.…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 Seongjin Ahn , Sankar Das Sarma

Combining experimental data, numerical transport calculations, and theoretical analysis, we study the temperature-dependent resistivity of high-mobility 2D Si MOSFETs to search for signatures of weak localization induced quantum corrections…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 S. Das Sarma , E. H. Hwang , K. Kechedzhi , L. A. Tracy

A metal can be driven to an insulating phase through distinct mechanisms. A possible way is via the Coulomb interaction, which then defines the Mott metal-insulator transition (MIT). Another possibility is the MIT driven by disorder, the…

Strongly Correlated Electrons · Physics 2021-10-04 G. A. Canella , V. V. França

The Anderson delocalization-localization transition is studied in multilayered systems with randomly placed interlayer bonds of density $p$ and strength $t$. In the absence of diagonal disorder (W=0), following an appropriate perturbation…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. N. Evangelou , Shi-Jie Xiong , P. Markov , D. E. Katsanos

This PhD thesis conducts a focused study of strongly correlated materials with localized electron orbitals. We have studied two real materials (LuNiO$_3$ and VO$_2$) and one model system, i.e., the Anderson impurity model. The thesis is…

Strongly Correlated Electrons · Physics 2019-02-19 Zhuoran He

Anderson localization transitions are a universal quantum phenomenon sensitive to the disorder and dimensionality of electronic systems. Over the past decades, this intriguing topic has inspired overwhelmingly more theoretical studies than…

Mesoscale and Nanoscale Physics · Physics 2024-10-31 Jinhao Cheng , Chen Wang , Wenxue He , Jiaojiao Wang , Yifan Pang , Fan Yang , Shuaishuai Ding , Hechen Ren , Wenping Hu

We perform a numerical investigation of Anderson metal-insulator transition (MIT) in a twodimensional system of chiral symmetry class AIII by combining finite-size scaling, transport, density of states, and multifractality studies. The…

Disordered Systems and Neural Networks · Physics 2023-01-30 Jonas F. Karcher , Ilya A. Gruzberg , Alexander D. Mirlin

We study analytically the metal-insulator transition in a disordered conductor by combining the self-consistent theory of localization with the one parameter scaling theory. We provide explicit expressions of the critical exponents and the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Antonio M. Garcia-Garcia

Density of states, dynamic (optical) conductivity and phase diagram of paramagnetic two-dimensional Anderson-Hubbard model with strong correlations and disorder are analyzed within the generalized dynamical mean-field theory (DMFT+Sigma…

Strongly Correlated Electrons · Physics 2010-05-17 E. Z. Kuchinskii , N. A. Kuleeva , I. A. Nekrasov , M. V. Sadovskii

To explain the main features of the metal-insulator transition (MIT) in 2D we suggest a simple model taking into account strongly localized states in the band tail of 2D conductivity band with a specific emphasize of a role of…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. I. Kozub , and N. V. Agrinskaya

For five different electron and hole systems in two dimensions (Si MOSFET's, p-GaAs, p-SiGe, n-GaAs and n-AlAs), the critical density, $n_c$ that marks the onset of strong localization is shown to be a single power-law function of the…

Strongly Correlated Electrons · Physics 2009-11-07 M. P. Sarachik

The goal of this paper is to highlight several issues which are most crucial for the understanding of the ``metal-insulator transition'' in two dimensions. We discuss some common problems in interpreting experimental results on high…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. L. Altshuler , D. L. Maslov , V. M. Pudalov

We study the dependence on the spatial dimensionality of different quantities relevant in the description of the Anderson transition by combining numerical calculations in a $3 \leq d \leq 6$ disordered tight binding model with theoretical…

Disordered Systems and Neural Networks · Physics 2009-11-11 Antonio M. Garcia-Garcia , Emilio Cuevas
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