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Quantum and electron transport phenomena
Research Guide
What is Quantum and electron transport phenomena?
Quantum and electron transport phenomena are the quantum-mechanical processes that govern how electrons (and their spin) move, scatter, localize, and carry current in materials and nanostructures under equilibrium and nonequilibrium conditions.
The literature cluster on quantum and electron transport phenomena comprises 140,732 works spanning mesoscopic transport, spintronics, quantum Hall physics, and quantum-dot and spin-based approaches to quantum computing. Core theoretical foundations include disorder-driven localization (Anderson, 1958) and density-functional theory formalisms used to model electronic structure relevant to transport (Kohn and Sham, 1965; Kresse and Furthmüller, 1996). Major experimentally anchored subtopics include graphene transport and quantum Hall signatures, including Berry-phase-related observations in graphene (Zhang et al., 2005) and broader graphene electronic properties (Castro Neto et al., 2009).
Topic Hierarchy
Research Sub-Topics
Semiconductor Spintronics
This sub-topic focuses on spin injection, detection, and transport in semiconductors like GaAs and Si, including spin Hall effects. Researchers study spin relaxation mechanisms and ferromagnetic contacts.
Kondo Effect in Nanostructures
This sub-topic examines the Kondo resonance in quantum dots and nanowires, including nonequilibrium transport and magnetic field tuning. Researchers model many-body correlations using NRG and experiments.
Quantum Dot Spin Qubits
This sub-topic covers coherent control of electron spins in Si and GaAs quantum dots for quantum computing gates. Researchers address decoherence from nuclear spins and develop error correction.
Spin Injection and Transport
This sub-topic investigates efficient spin injection across interfaces and long-distance spin coherence in channels. Researchers explore drift-diffusion models and Hanle measurements.
Mesoscopic Electron Correlations
This sub-topic studies interaction effects like Coulomb blockade and Wigner crystallization in 2DEGs and graphene. Researchers probe fractional quantum Hall states and Luttinger liquids experimentally.
Why It Matters
Quantum and electron transport phenomena underpin practical device concepts where performance is limited by scattering, coherence, and spin/charge control at nanometer scales. In spintronics, "Spintronics: A Spin-Based Electronics Vision for the Future" (Wolf et al., 2001) explicitly frames applications around using electron spin in electronics and highlights device-relevant advantages such as nonvolatility and speed; this motivates transport studies of spin injection, spin relaxation, and coherent spin manipulation in semiconductors and nanostructures. In two-dimensional materials, transport in graphene provides a concrete platform where relativistic-like band structure and quantum Hall physics become technologically relevant: "Experimental observation of the quantum Hall effect and Berry's phase in graphene" (Zhang et al., 2005) ties measurable Hall transport quantization to graphene’s electronic structure, while "The electronic properties of graphene" (Castro Neto et al., 2009) consolidates transport-relevant electronic properties used to reason about conductivity, Landau levels, and disorder effects. At the modeling level, first-principles electronic-structure workflows widely used to parameterize transport models and interpret experiments rely on density-functional theory equations and approximations (Kohn and Sham, 1965; Becke, 1988; Perdew, 1986; Vosko et al., 1980) and their efficient plane-wave implementations (Kresse and Furthmüller, 1996) as well as community software infrastructure (Giannozzi et al., 2009).
Reading Guide
Where to Start
Start with "Spintronics: A Spin-Based Electronics Vision for the Future" (Wolf et al., 2001) because it defines the device-motivated transport questions (spin injection, spin manipulation, and spin-dependent conduction) that organize much of the cluster’s applied agenda.
Key Papers Explained
A common progression is to anchor quantum transport concepts in disorder physics using Anderson’s localization model in "Absence of Diffusion in Certain Random Lattices" (Anderson, 1958), then connect transport to realistic band structures using the Kohn–Sham framework from "Self-Consistent Equations Including Exchange and Correlation Effects" (Kohn and Sham, 1965). Practical predictive modeling typically layers exchange and correlation approximations—"Density-functional exchange-energy approximation with correct asymptotic behavior" (Becke, 1988), "Density-functional approximation for the correlation energy of the inhomogeneous electron gas" (Perdew, 1986), and "Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis" (Vosko et al., 1980)—into efficient computational workflows such as "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set" (Kresse and Furthmüller, 1996) and community codes like "QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials" (Giannozzi et al., 2009). For a materials-and-transport case study, "The electronic properties of graphene" (Castro Neto et al., 2009) provides transport-relevant electronic structure context, while "Experimental observation of the quantum Hall effect and Berry's phase in graphene" (Zhang et al., 2005) ties that context to concrete magnetotransport observables.
Paper Timeline
Most-cited paper highlighted in red. Papers ordered chronologically.
Advanced Directions
Advanced work often focuses on quantitatively reconciling mesoscopic transport measurements (e.g., quantum Hall signatures in graphene from Zhang et al., 2005) with predictive electronic-structure modeling pipelines (Kohn and Sham, 1965; Kresse and Furthmüller, 1996; Giannozzi et al., 2009) under realistic disorder and spin conditions. Another active direction is pushing spin-dependent transport objectives framed by Wolf et al. (2001) toward architectures where coherence and injection constraints are simultaneously met, requiring careful treatment of spin-polarized correlation (Vosko et al., 1980) and exchange–correlation choices (Becke, 1988; Perdew, 1986) when parameterizing device-scale models.
Papers at a Glance
In the News
Quantum scars boost electron transport and drive the ...
Quantum physics often reveals phenomena that defy common sense. A new theory of quantum scarring deepens our understanding of the connection between the quantum world and classical mechanics, sheds...
High-fidelity single-spin shuttling in silicon
## Abstract
Electrical control of quantum phenomenon could improve future electronic devices
U.S. National Science Foundation supported the research through two awards, including a Faculty Early Career Development (CAREER) award and through NSF's Materials Research Science and Engineerin...
News
**Stanford University researchers, led by physicists Jon Simon and Adam Shaw, have pioneered a cavity-array microscope that allows for the simultaneous, high-speed readout of hundreds of individual...
7 teams win funding in 1st year of Scialog: quantum matter ...
researchers in the inaugural year of **Scialog: Quantum Matter and Information** , a three-year initiative aiming to promote broader interactions among different sectors of the quantum science comm...
Code & Tools
## Repository files navigation # QuantumTransport.jl QuantumTransport.jl is a Julia package designed for simulating quantum transport in nano-ele...
This is a framework for electrostatic-quantum transport modeling of nanomaterials at exascale, built using the AMReX library, currently supporting ...
This repository contains the code used to simulate electron transport in pertubed npgs of various designs. The project consists of 2 phases: 1. Ph...
Kwant is a free (open source) Python package for numerical calculations on tight-binding models with a strong focus on quantum transport. It is des...
**KITE** is an open-source Python/C++ software suite for efficient real-space tight-binding (TB) simulations of electronic structure and bulk quant...
Recent Preprints
Quantum transport phenomena induced by time-dependent ...
We present an overview of transport phenomena in quantum systems induced by time-dependent driving. The emphasis is on steady-state transport (as opposed to transient effects). We introduce the mai...
Quantum superposition in ultra-high mobility 2D photo- ...
We investigate the striking properties that magnetoresistance of irradiated two-dimensional electron systems presents when their mobility is ultra-high (\\(\\mu \\gg 10^{7} cm^{2}V^{-1} s^{-1}\\)) ...
Transport in Single Quantum Dots: A Review from Linear Response to Nonlinear Regimes
theory. To meet these challenges, new approaches such as nonequilibrium Green's functions, real-time NRG, and time-dependent DMRG have emerged. This work reviews the established results for quantum...
Quantum scars boost electron transport and drive the ...
Unit is taking these findings further. In their new article, the researchers report that quantum scars significantly enhance electron transport in open quantum dots connected to electrodes. The wor...
Quantum Tunneling of Protons through Respiratory ...
Investigating the quantum phenomena within biological systems falls within the scope of quantum biology [8,9]. Quantum biology is the scientific field that explores biological processes and funct...
Latest Developments
Recent developments in quantum and electron transport phenomena research include the discovery of a hidden quantum geometry that bends electrons like gravity in materials, which could revolutionize electronics (ScienceDaily), the imaging of Wigner crystal states in new quantum materials (phys.org), and studies on quantum scars that enhance electron transport in nanostructures (Tampere University). Additionally, research has uncovered new shortcuts to quantum materials by harnessing their internal quantum energy (ScienceDaily), and investigations into quantum superposition in ultra-high mobility 2D systems are advancing understanding of electron behavior (Nature). These findings are from early 2026 and represent significant progress in understanding electron dynamics at quantum scales.
Sources
Frequently Asked Questions
What is the difference between classical transport and quantum transport in electron systems?
Classical transport typically treats electrons as particles undergoing scattering, whereas quantum transport requires wave mechanics, enabling interference effects such as localization. "Absence of Diffusion in Certain Random Lattices" (Anderson, 1958) provides a canonical quantum mechanism where disorder can suppress diffusion via localization rather than ordinary scattering-limited conduction.
How does density-functional theory connect to electron transport research?
Density-functional theory provides self-consistent electronic structure—e.g., via "Self-Consistent Equations Including Exchange and Correlation Effects" (Kohn and Sham, 1965)—that is commonly used to obtain band structures, densities, and effective Hamiltonians used in transport reasoning. Practical calculations often rely on exchange–correlation approximations such as "Density-functional exchange-energy approximation with correct asymptotic behavior" (Becke, 1988) and correlation functionals like "Density-functional approximation for the correlation energy of the inhomogeneous electron gas" (Perdew, 1986) or spin-polarized correlation analyses (Vosko et al., 1980).
Which computational tools and methods are most associated with first-principles modeling relevant to transport?
Efficient plane-wave pseudopotential schemes are described in "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set" (Kresse and Furthmüller, 1996). A widely used open-source implementation framework is "QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials" (Giannozzi et al., 2009), which supports density-functional-theory-based materials simulations that often feed into transport interpretations.
What experimental signatures connect graphene’s electronic structure to transport measurements?
"Experimental observation of the quantum Hall effect and Berry's phase in graphene" (Zhang et al., 2005) links quantized Hall transport and Berry-phase-related behavior to graphene’s carrier dynamics. "The electronic properties of graphene" (Castro Neto et al., 2009) synthesizes the electronic-structure features that underpin these transport signatures, including the role of band structure in magnetotransport.
Why is spin transport central to spintronics and quantum information proposals?
"Spintronics: A Spin-Based Electronics Vision for the Future" (Wolf et al., 2001) argues that using electron spin in devices can enable functionalities beyond charge-only electronics, motivating research on spin injection and coherent spin manipulation. In transport terms, this means characterizing how spins propagate, relax, and couple to material environments while current flows through mesoscopic structures.
Which papers are most foundational for understanding disorder and localization in electron transport?
"Absence of Diffusion in Certain Random Lattices" (Anderson, 1958) is a foundational work introducing a model where disorder leads to localization and suppressed diffusion. This concept is routinely invoked when interpreting transport in disordered lattices, impurity bands, and mesoscopic conductors where interference effects are non-negligible.
Open Research Questions
- ? How can one connect first-principles electronic structure from "Self-Consistent Equations Including Exchange and Correlation Effects" (Kohn and Sham, 1965) and practical implementations like "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set" (Kresse and Furthmüller, 1996) to quantitative, predictive transport observables in mesoscopic devices without uncontrolled approximations?
- ? What are the minimal disorder and interaction ingredients required for Anderson-type localization behavior in realistic material models beyond the simplified setting of "Absence of Diffusion in Certain Random Lattices" (Anderson, 1958), and how should they be diagnosed experimentally via transport?
- ? Which exchange–correlation approximations (e.g., Becke, 1988; Perdew, 1986; Vosko et al., 1980) are most reliable for transport-relevant quantities (band alignment, spin polarization, effective masses) in low-dimensional systems where graphene-like physics is central (Castro Neto et al., 2009; Zhang et al., 2005)?
- ? How can spin-dependent transport targets articulated in "Spintronics: A Spin-Based Electronics Vision for the Future" (Wolf et al., 2001) be translated into measurable constraints on spin injection and coherence in semiconductor and mesoscopic architectures described by this literature cluster?
- ? What theoretical description best captures the interplay of magnetic field, topology, and disorder in graphene magnetotransport while remaining consistent with experimentally observed quantum Hall and Berry-phase signatures (Zhang et al., 2005) and broader graphene electronic properties (Castro Neto et al., 2009)?
Recent Trends
This topic area is large (140,732 works), and recent attention continues to concentrate on transport in low-dimensional materials and spin-dependent device concepts already emphasized by "The electronic properties of graphene" (Castro Neto et al., 2009) and "Spintronics: A Spin-Based Electronics Vision for the Future" (Wolf et al., 2001).
Highly cited methodological infrastructure remains central for interpreting and parameterizing transport models, particularly the Kohn–Sham formalism (Kohn and Sham, 1965), efficient plane-wave total-energy schemes (Kresse and Furthmüller, 1996), and widely used community software (Giannozzi et al., 2009).
Experimentally, graphene magnetotransport remains a reference point because "Experimental observation of the quantum Hall effect and Berry's phase in graphene" (Zhang et al., 2005) provides a canonical measurement target that links quantum Hall physics to electronic structure consolidated in Castro Neto et al. .
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