**Excerpts from the recension on the 1st edition:

The book published by Vladimir M. Fomin from Leibniz Institute for Solid State and Materials Research Dresden is an authoritative monograph that offers for readers a broad, exhaustive overview about the current status of the Physics of Quantum Rings.

All chapters are accessible for readers with knowledge of physics and engineering sciences within the advanced level studies. The book explores in depth the physics of quantum interference phenomena like the Aharonov-Bohm effect, which are essential for Quantum Rings. A good third of the book is dedicated to fabrication, characterization, and physical properties of such structures. The fabrication includes such methods as self-organized arrangement and crystal growth with molecular-beam epitaxy as well as high-resolution lithography. The second third of the book represents the theory of Quantum Rings, especially under the perspective of their materials and optical properties, the Coulomb interaction, and finally, their mathematical modeling. The last third of the book focuses on the Aharonov-Bohm effect of excitons, a very new effect, which is manifested through the optical properties of Quantum Rings.

The unique benefit of collecting such different topics in one band consists in enabling a holistic understanding of Quantum Rings. This approach is necessary to ensure a further development in this field. On the one hand, this is a deepening exploration. On the other hand, it is equally important for implementation of the gained understanding in applications for future devices.

Translated from German: K. Karrai, Physik Journal 15, 52-53 (2016).

**Excerpts from the recension on the 2nd edition: A. Lorke, Physik Journal 18, 91 (2019).

The editor Vladimir Fomin and contributors show impressively in their book, which has now been published in a second edition, that the now traditional classification into 3-, 2-, 1- or 0-dimensional systems is not as comprehensive as it seems. This is because, in contrast to the above-mentioned systems, Quantum Rings in mathematical sense are not singly-connected. And already the question, whether a Quantum Ring is a closed quantum wire or a quantum dot, from which the interior is cut out, demonstrates how diverse and novel is the physics offered by Quantum Rings.

Also in the new edition, the numerous authors illuminate the topic from different perspectives: from materials science aspects of the growth of Quantum Rings through their optical and electronic characterization to theoretical studies of exotic topologies, such as Möbius stripes. The new division into four Sections (topology-driven effects, fabrication and characterization, optical Aharonov-Bohm Effect, theory) succeeded. It is gratifying that the newly added chapters deal with current developments and concern such topics as THz spectroscopy or 2D materials.

The book is certainly not an easy reading. However, for both advanced students and scientists who wish to delve in larger breadth and depth into the topic, this collection of reviews offers an extensive material showing that also beyond a point, a line, and a plane there is still "plenty of room in the bottom".

Translated from German: : A. Lorke, Physik Journal 18, 91 (2019).

Autorentext

Vladimir M. Fomin is a Research Professor at the Institute for Emerging Electronic Technologies, part of the Leibniz Institute for Solid State and Materials Research (IFW) Dresden, and a Professor at the State University of Moldova. He is also an Honorary Member of the Academy of Sciences of Moldova and a member of various esteemed scientific organizations including APS, the German Physical Society, the European Physical Society, IEEE, and the COST Action "Superconducting Nanodevices and Quantum Materials for Coherent Manipulation".

His research interests lie in nanophysics, covering topics such as the theory of 3D nanoarchitectures, topology- and geometry-driven effects in quantum rings, strain-induced self-rolled and direct-write micro- and nanoarchitectures, phase boundaries and vortex matter in micro- and nanoarchitectures and patterned superconductors. He has also made significant contributions to understanding the superconducting properties of metallic nanograins, phonons, vibrational excitations, and polaronic effects in multilayerstructures and superlattices, magnetopolarons and magneto-Raman scattering in monolayer Transition Metal Dichalcogenides. Additionally, his work extends to exploring topological states of light and spin-orbit coupling in microcavities, optical properties of quantum dots, thermoelectric properties of semiconductor nanostructures, quantum transport in sub-0.1 µm semiconductor devices, propulsion mechanisms of catalytic tubular micromotors, and theory of self-propelled micromotors for cleaning polluted water.

He serves as the Scientific Editor of the Encyclopedia of Condensed Matter Physics, 2nd Edition (Elsevier, 2024), further demonstrating his expertise and authority in the field.