Superconductivity, superfluidity and quantum geometry in twisted multilayer systems
Superconductivity has been observed in moiré systems such as twisted bilayer graphene,
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …
Quantum geometry in condensed matter
One of the most celebrated accomplishments of modern physics is the description of
fundamental principles of nature in the language of geometry. As the motion of celestial …
fundamental principles of nature in the language of geometry. As the motion of celestial …
Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
Quantum geometry in condensed-matter physics has two components: the real part quantum
metric and the imaginary part Berry curvature. Whereas the effects of Berry curvature have …
metric and the imaginary part Berry curvature. Whereas the effects of Berry curvature have …
Essay: Where can quantum geometry lead us?
P Törmä - Physical Review Letters, 2023 - APS
Quantum geometry defines the phase and amplitude distances between quantum states.
The phase distance is characterized by the Berry curvature and thus relates to topological …
The phase distance is characterized by the Berry curvature and thus relates to topological …
: Phonon bands, localized flat-band magnetism, models, and chemical analysis
In a series of recent reports, doped lead apatite (LK-99) has been proposed as a candidate
ambient temperature and pressure superconductor. However, from both an experimental …
ambient temperature and pressure superconductor. However, from both an experimental …
Vortexability: A unifying criterion for ideal fractional Chern insulators
Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …
Origin of model fractional Chern insulators in all topological ideal flatbands: Explicit color-entangled wave function and exact density algebra
It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …
Ginzburg-Landau theory of flat-band superconductors with quantum metric
Recent experimental studies unveiled highly unconventional phenomena in the
superconducting twisted bilayer graphene (TBG) with ultraflat bands, which cannot be …
superconducting twisted bilayer graphene (TBG) with ultraflat bands, which cannot be …
“quantum geometric nesting” and solvable model flat-band systems
We introduce the concept of “quantum geometric nesting”(QGN) to characterize the
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …
Many-body superconductivity in topological flat bands
In a flat band superconductor, bosonic excitations can disperse while unpaired electrons are
immobile. To study this strongly interacting system, we construct a family of multi-band …
immobile. To study this strongly interacting system, we construct a family of multi-band …