Transport in Condensed Matter: Many-Body Theory for Electronic, Magnetic, and Topological Systems

Transport in Condensed Matter offers a clear and comprehensive introduction to the principles that govern how charge and spin move through condensed-matter systems. The book opens with linear response theory, Green's functions, and the Boltzmann transport equation, essential tools for understanding electronic behaviour in solids. It then develops perturbation theory and diagrammatic methods, followed by a detailed treatment of impurity scattering, a crucial but often neglected ingredient in realistic transport calculations.

A major strength of the book is its coverage of contemporary themes, including topological transport and the integer and anomalous quantum Hall effects, transport in non-Hermitian systems and magnon transport, spanning ferromagnets, antiferromagnets, noncollinear orders, and skyrmion-based phenomena. Additional chapters introduce the memory-function formalism and the emerging field of electron hydrodynamics using the Navier-Stokes equation.

Key features include:

• A self-contained introduction to many-body transport methods.
• Clear derivations of all major equations and results.
• Coverage of modern research topics such as non-Hermitian transport, topological magnons, nonlinear Hall effects, and strange metals.
• Connects traditional frameworks with emerging directions in modern condensed-matter physics.
• Appendices, which review essential background concepts, making the text suitable for readers transitioning into the field.

Suitable for both researchers and graduate students, the book offers a unified overview of transport phenomena in electronic and magnetic systems, connecting many-body techniques with some of the most active areas in modern condensed matter physics and quantum materials.