Description
An annual survey of the cond-mat.str-el arXiv category, covering research published from September 2025 – August 2026. Built on a close-reading set of 132 papers and organised into 37 chapters, it maps the year by the field's research sub-directions.
Book framework (share of the year's output):
- Correlated Materials and Superconductivity (13.5%) — Investigates electronic structures, orbital physics, and superconductivity in complex oxides and nickelates.
- Quantum Spin Liquids and Frustrated Magnetism (12.4%) — Explores exotic magnetic states like quantum spin liquids and Kitaev physics in frustrated lattice systems.
- Magnetic Order and Field-Induced Phenomena (10.6%) — Studies magnetic ordering, field-induced symmetry breaking, and transport properties in magnetic materials.
- Topological Phases and Symmetry Protection (10.4%) — Analyzes topological order, symmetry-enriched phases, and protected edge states in quantum systems.
- Phase Transitions and Metal-Insulator Physics (9.5%) — Examines critical phenomena, metal-insulator transitions, and entanglement transitions in various models.
- Hubbard Models and Lattice Fermions (8.8%) — Focuses on phase diagrams and correlations in Hubbard models and extended fermionic lattice systems.
- Quantum Criticality and Many-Body Dynamics (8.8%) — Investigates quantum critical points, entanglement dynamics, and non-equilibrium phenomena in many-body systems.
- Non-Hermitian Physics and Symmetries (7.8%) — Explores non-Hermitian systems, higher-form symmetries, and non-Fermi liquid behaviors.
- Quantum Hall Effects and Topological Transport (6.5%) — Studies fractional and anomalous Hall effects, topological transport, and related thermal properties.
- Tensor Networks and Quantum State Simulation (6.1%) — Develops tensor network methods and neural quantum states for simulating complex many-body ground states.
- Charge Density Waves and Electronic Order (5.6%) — Investigates charge density waves, pair density waves, and electronic ordering in correlated materials.
Each sub-direction is covered across three chapters — how it framed its questions, the strength of its key findings, and its open debates and frontiers — so the reader gets a traceable picture of what this part of the field actually produced over the year.