The papers appearing in this special issue of the Journal of Low Temperature Physics are some of the contributions to the Topological Matter and Flat Bands (TMFB) Conference held in August 17–20, 2017, at the Felix-Bloch-Institute of the Faculty of Physics and Earth Sciences—University of Leipzig, Leipzig, Germany (https://home.uni-leipzig.de/flatband/). This Conference was a satellite conference of the 28th International Conference on Low Temperature Physics (LT28, http://www.lt28.se) that took place in Gothenburg (Sweden) between August 9–16, 2017.

The TMFB Conference continued the discussion on the importance of flat bands in solid-state physics, which started in Dresden in 2013 (Flat Bands: Design, Topology, and Correlations). It brought together experimentalists and theoreticians to discuss new examples in graphite/graphene and other systems, where the topology and flat bands may play a major role in triggering exceptional phenomena due to extremely singular density of states. The target audience consisted of researchers of graphene/graphite, those studying topological materials, topological superconductivity, interface superconductivity, and also the community of ultracold atom systems. The main topics presented and discussed during the conference included: Lifhshitz transitions, superconductivity/superfluidity in systems with exact or approximate flat bands, two-dimensional superconductivity, nodal topological superconductivity, magnetism and magnetotransport, surface states, topological metals, Weyl fermions and points, transport phenomena, Fano resonances, quantum-Hall systems including superconductors, flat-band phononic lattices, flat bands in strongly interacting systems, as examples. There were 32 oral presentations and 11 posters.

The organizing committee was integrated by the following scientists: T. Heikkilä (University of Jyväskylä, Finland), A. P. Schnyder (MPI f. FestkörperforschungStuttgart, Germany), A. Soluyanov (ETH Zurich/Switzerland), P. Törmä (Aalto University, Finland), and G. Volovik (Aalto University, Finland /Landau Institute, Russia).

Following is the list of participants and invited speakers (indicated in bold):

Barzola-Quiquia

José

Universität Leipzig, Germany

Bianconi

Antonio

RICMASS, Italy

Dolgopolov

Valery T.

Institute of Solid State Physics, Chernogolovka, Russia

Drescher

Moritz

Universität Heidelberg, Germany

Esquinazi

Pablo

Universität Leipzig, Germany

Fulga

Ion Cosma

IFW Dresden, Germany

Gühne

Robin

Victoria University of Wellington, New Zealand

Heikkilä

Tero

University of Jyväskylä, Finland

Hyart

Timo

University of Jyväskylä, Finland

Ikegaya

Satoshi

Hokkaido University, Sapporo, Japan

Jaworowski

Błażej

Wrocław University of Science and Technology, Poland

Kanazawa

Ikuzo

Tokyo Gakugei University, Japan

Khodel

Victor

NRC Kurchatov Institute Moscow, Russia

Kunst

Flore

Stockholm University, Sweden

Kurilovich

Pavel

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Russia

Kurilovich

Vladislav

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Russia

Lötmann

Tomas

Uppsala University,Sweden

Menezes

Natalia

Utrecht University, Netherlands

Nissinen

Jaakko

Aalto University, Espoo, Finland

Nobukane

Hiroyoshi

Hokkaido University, Sapporo, Japan

Ojajärvi

Risto

University of Jyväskylä, Finland

Park

Hee Chul

Institute for Basic Science, Daejeon, South Korea

Peotta

Sebastiano

Aalto University, Finland

Pickett

Warren

University of California Davis, USA

Precker

Christian

Universität Leipzig, Germany

Ramachandran

Ajith

Center for Theoretical Physics of Complex Systems, Daejeon, Republic of Korea

Regnault

Nicolas

CNRS, Paris, France

Rizzi

Mateo

Johannes Gutenberg University (JGU) Mainz, Germany

Rosenow

Bernd

Universität Leipzig, Germany

Sato

Masatoshi

Kyoto University, Japan

Shaginyan

Vasily

P.N. Lebedev Physical Institute,Moscow, Russia

Soluyanov

Alexey

ETH Zurich, Switzerland

Tamura

Shun

Nagoya University, Japan

Tanaka

Yukio

Nagoya University, Japan

Törmä

Päivi

Aalto University, Espoo, Finland

Vicencio

Rodrigo

Universidad de Chile, Santiago, Chile

Volovik

Grigory

Aalto University, Espoo, Finland

Winkler

Georg W.

ETH Zurich, Switzerland

Wulayimu

Maimaiti

Center for Theoretical Physics of Complex Systems, Daejeon, Republic of Korea

I thank all the members of the organizing committee for the enthusiasm and support in the organization of the conference, the technical support of Ms. Sandy Ehlers and Mr. Lukas Botsch, and the partial support of the German Research Society through DFG-Project ES 86/30-1, as well as of the Graduate School “Leipzig School of Natural Sciences—Building with Molecules and Nano-objects” (BuildMona).