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Physics of Superconductivity and Magnetism
Research Guide
What is Physics of Superconductivity and Magnetism?
Physics of superconductivity and magnetism is the condensed-matter study of how electronic pairing, collective order parameters, and spin/charge correlations produce superconducting and magnetic phases—and how these phases coexist, compete, or couple in real materials and devices.
The literature cluster labeled “Physics of Superconductivity and Magnetism” contains 270,373 works and centers on high-temperature superconductivity in cuprates, including electronic-structure calculations, proximity effects in superconductor–ferromagnet structures, quantum Monte Carlo methods, and evidence for electron–phonon coupling in high-temperature superconductors. Bardeen, Cooper, and Schrieffer’s "Theory of Superconductivity" (1957) provides the canonical phonon-mediated pairing framework that later work tests, extends, or contrasts against unconventional mechanisms in correlated materials. The discovery paper "Possible highT c superconductivity in the Ba?La?Cu?O system" (1986) and Anderson’s "The Resonating Valence Bond State in La 2 CuO 4 and Superconductivity" (1987) anchor the modern focus on cuprates near metal–insulator transitions with strong magnetic correlations.
Topic Hierarchy
Research Sub-Topics
Cuprate High-Temperature Superconductors
This sub-topic studies pairing mechanisms, pseudogap phases, and optimal doping in cuprates like YBCO and BSCCO. Researchers use ARPES, STM, and neutron scattering to probe electronic orders.
Dynamical Mean-Field Theory
This sub-topic applies DMFT to strongly correlated electrons in superconductors and Mott insulators. Researchers extend methods to multi-orbital and cluster models for cuprates.
Superconductor-Ferromagnet Proximity Effects
This sub-topic examines oscillatory pairing, spin-triplet states, and long-range proximity in S/F hybrids. Researchers fabricate junctions and study reentrant superconductivity.
Quantum Monte Carlo Methods
This sub-topic develops QMC for ground-state properties, avoiding sign problems in doped Mott insulators. Researchers benchmark against experiments for stripe order and pairing.
Electron-Phonon Coupling in Superconductors
This sub-topic quantifies e-ph interactions via isotope effects, Eliashberg theory, and DFT. Researchers debate Holstein vs. magnetic pairing in high-Tc materials.
Why It Matters
Superconductivity–magnetism physics matters because it underpins practical technologies that rely on controlling dissipationless currents and magnetic fields, especially when materials are reduced to low dimensions or integrated into devices. For example, the preprint item “Superconducting properties and materials” reports a Josephson-junction “quantum superconducting diode” made from high-temperature cuprate superconductors that is magnetic-field-free, operates at 77 K, and reaches a diode efficiency of 100%, directly connecting cuprate superconductivity to rectification functionality in superconducting electronics. At the materials-discovery level, "Unconventional superconductivity in magic-angle graphene superlattices" (2018) demonstrates that engineered moiré systems can host unconventional superconductivity, motivating device-relevant platforms where magnetic and superconducting responses can be tuned by structure rather than chemistry. On the theory and computation side, quantitative design of superconductors and magnetic heterostructures depends heavily on first-principles tools: Kresse and Furthmüller’s "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set" (1996) and Segall et al.’s "First-principles simulation: ideas, illustrations and the CASTEP code" (2002) are widely used foundations for electronic-structure calculations that inform how magnetism, lattice structure, and electronic states correlate with superconducting behavior in candidate materials.
Reading Guide
Where to Start
Start with Bardeen, Cooper, and Schrieffer’s "Theory of Superconductivity" (1957) because it defines the order parameter, pairing concept, and phonon-mediated mechanism that later unconventional and magnetism-linked theories explicitly extend or contest.
Key Papers Explained
"Possible highT c superconductivity in the Ba?La?Cu?O system" (1986) establishes the empirical fact of high-temperature superconductivity in cuprates, setting the central materials problem. Anderson’s "The Resonating Valence Bond State in La 2 CuO 4 and Superconductivity" (1987) then reframes the cuprate mechanism around proximity to a correlated, magnetically unusual insulating state, making magnetism and strong correlations central. "Unconventional superconductivity in magic-angle graphene superlattices" (2018) extends the conversation to engineered 2D platforms where superconductivity can arise from moiré band structure and interactions, broadening the scope beyond cuprate chemistry. To connect these materials questions to predictive modeling, "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set" (1996) and "First-principles simulation: ideas, illustrations and the CASTEP code" (2002) provide the computational infrastructure used to compute electronic structures and magnetic tendencies that constrain microscopic interpretations.
Paper Timeline
Most-cited paper highlighted in red. Papers ordered chronologically.
Advanced Directions
Current directions in this topic emphasize device-level manifestations of symmetry and nonreciprocity in superconducting systems and the continued search for mechanisms linking magnetism to unconventional pairing. The preprint item “Superconducting properties and materials” exemplifies this by reporting a magnetic-field-free “quantum superconducting diode” in a high-temperature cuprate Josephson junction operating at 77 K with 100% diode efficiency, motivating theory that unifies cuprate order, junction physics, and rectification. In parallel, the continuing influence of "Unconventional superconductivity in magic-angle graphene superlattices" (2018) keeps moiré systems central for probing how tunable band structure and correlations shape superconductivity and its interplay with magnetic responses.
Papers at a Glance
In the News
Scientists discover hidden geometry that bends electrons ...
''These discoveries open up new avenues for exploring and harnessing quantum geometry in a wide range of materials, with major implications for future electronics operating at terahertz frequencies...
Superconductivity Breakthrough Brings Practical Use ...
In the quest for room-temperature superconductivity , an international team of physicists has uncovered a link between magnetism and the mysterious phase of matter known as the pseudogap, which may...
MIT physicists discover a new type of superconductor that’s also a magnet
Magnets and superconductors go together like oil and water —or so scientists have thought. But a new finding by MIT physicists is challenging this century-old assumption.
MIT physicists observe key evidence of unconventional ...
# MIT physicists observe key evidence of unconventional superconductivity in magic-angle graphene The findings could open a route to new forms of higher-temperature superconductors. Jennifer Chu|M...
Launching the Superconductivity CDT
The brand new EPSRC Centre for Doctoral Training in Superconductivity: Enabling Transformative Technologies has welcomed its first 16-strong cohort. The four-year PhD programme provides students wi...
Code & Tools
`SuperScreen` is a Python package for simulating the magnetic response of thin film superconducting devices. `SuperScreen` solves the coupled Maxwe...
] |> > > > scqubits is an open-source Python library for simulating superconducting qubits. It is meant to give the user
## About Numerical library for working with clean superconductors in Python using the Bogoliubov-de Gennes formalism ### Topics
- Interfaces for MATLAB and Python, with the core implemented in Fortran for speed; - Fully analytical calculation of demagnetization tensor for cy...
OPENSC2 is a software for the multi-physical analysis of thermal-hydraulic and electro-dynamic transients in Superconducting Cable-in-Conduit Condu...
Recent Preprints
Journal of Superconductivity and Novel Magnetism
INSPIRE Japanese Science and Technology Agency (JST) Naver OCLC WorldCat Discovery Service Portico ProQuest SCImago SCOPUS Science Citation Index Expanded (SCIE) TD Net Discovery ...
Superconductivity
Title:Highly efficient superconducting diode effect in unconventional $p$-wave magnets Igor de M. Froldi , Hermann Freire Comments:7 pages, 3 figures (main text). 9 pages, 5 figures (supplemental...
Superconductor Science and Technology - IOPscience
Science and ApplicationsFocus on NanoSQUIDs and their applicationsFocus on SQUIDs in BiomagnetismFocus on Magnetic Properties of Superconductors: Modeling, Experiment and TheoryFocus on selected wo...
Superconducting properties and materials
An electrical method is shown to reliably introduce nonreciprocal behaviour across a Josephson junction made of high-temperature cuprate superconductors, which then, under microwave irradiation, fo...
Study Of High-Temperature Superconductors And Their ...
magnetic fields below a certain critical temperature, has been one of the most transformative discoveries in modern condensed matter physics. First observed in mercury by Heike Kamerlingh Onnes in...
Latest Developments
Recent developments in the physics of superconductivity and magnetism include the discovery of a new superconductor that is also a magnet in graphite by MIT physicists (May 2025) (MIT News), the accidental discovery of a new superconducting state by Caltech researchers that could be a step toward room-temperature superconductors (January 2026) (YouTube), and the observation of key evidence of unconventional superconductivity in magic-angle graphene by MIT physicists (November 2025) (MIT News).
Sources
Frequently Asked Questions
What is the minimal theoretical starting point for superconductivity in this field?
"Theory of Superconductivity" (1957) formulates superconductivity as a paired-electron condensate arising from an effective attraction due to virtual phonon exchange when electronic energy differences are below the phonon energy scale. That framework is the baseline against which unconventional mechanisms and strongly correlated superconductors are compared in later work.
How did high-temperature superconductivity in cuprates enter the modern research agenda?
"Possible highT c superconductivity in the Ba?La?Cu?O system" (1986) reports superconductivity in the Ba–La–Cu–O family, establishing cuprates as high-temperature superconductors. The result catalyzed intensive study of how superconductivity emerges near correlated insulating and magnetic regimes.
Why is magnetism central to many explanations of cuprate superconductivity?
Anderson’s "The Resonating Valence Bond State in La 2 CuO 4 and Superconductivity" (1987) argues that the cuprates’ proximity to an odd-electron insulating state with unusual magnetic properties suggests a mechanism tied to strong electronic correlations and magnetism. This perspective makes magnetic correlations a core variable when interpreting superconducting phases in cuprates.
Which computational methods are most commonly used to connect electronic structure to superconductivity and magnetism?
Kresse and Furthmüller’s "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set" (1996) and Segall et al.’s "First-principles simulation: ideas, illustrations and the CASTEP code" (2002) describe plane-wave pseudopotential density-functional workflows that are widely used to compute ground-state electronic structures relevant to magnetic order and superconducting materials design. Exchange-correlation inputs commonly build on "Accurate and simple analytic representation of the electron-gas correlation energy" (1992) and "Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis" (1980).
Which classic result is essential for understanding 2D superconductivity and vortex physics?
"Ordering, metastability and phase transitions in two-dimensional systems" (1973) introduces topological order concepts and a phase transition in two dimensions characterized by a change in response to external perturbations. This is foundational for interpreting superconducting behavior in thin films and other 2D limits where vortices and topology control transitions.
Which paper exemplifies unconventional superconductivity outside the cuprates using engineered structures?
"Unconventional superconductivity in magic-angle graphene superlattices" (2018) reports unconventional superconductivity in magic-angle graphene-based moiré superlattices. The work is widely cited as evidence that strong-correlation-like superconductivity can be realized and tuned in designer 2D materials.
Open Research Questions
- ? How can theories grounded in "Theory of Superconductivity" (1957) be reconciled quantitatively with magnetism-centered pictures such as "The Resonating Valence Bond State in La 2 CuO 4 and Superconductivity" (1987) for cuprates without assuming a single universal pairing glue?
- ? Which experimentally testable signatures can distinguish topological-transition physics implied by "Ordering, metastability and phase transitions in two-dimensional systems" (1973) from symmetry-breaking transitions in candidate 2D superconductors and moiré systems?
- ? What minimal electronic-structure ingredients, computable with workflows described in "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set" (1996) and "First-principles simulation: ideas, illustrations and the CASTEP code" (2002), are necessary to predict when magnetism and superconductivity will coexist versus exclude each other?
- ? In moiré superconductors highlighted by "Unconventional superconductivity in magic-angle graphene superlattices" (2018), which microscopic interactions must be tuned to control the pairing symmetry, and how does that tuning interact with magnetic correlations?
- ? How should spin-dependent correlation parameterizations from "Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis" (1980) be validated or corrected for strongly correlated superconductors where local approximations may fail?
Recent Trends
The provided topic data describe a large, cuprate-centered research cluster (270,373 works) spanning electronic-structure calculations, proximity effects in superconductor–ferromagnet structures, quantum Monte Carlo methods, and electron–phonon coupling questions in high-temperature superconductors.
Recent items in the provided preprint list emphasize superconducting functionality that directly mixes symmetry, magnetism-adjacent effects, and device operation: the “Superconducting properties and materials” item reports nonreciprocal behavior across a Josephson junction made of high-temperature cuprate superconductors that forms a “quantum superconducting diode,” operating at 77 K with 100% diode efficiency.
At the same time, continued attention to unconventional superconductors in engineered 2D systems remains anchored by "Unconventional superconductivity in magic-angle graphene superlattices" , while computational materials analysis continues to rely on widely cited plane-wave DFT infrastructure from "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set" (1996) and "First-principles simulation: ideas, illustrations and the CASTEP code" (2002) and on correlation-energy parameterizations from "Accurate and simple analytic representation of the electron-gas correlation energy" (1992) and "Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis" (1980).
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