Fractional Chern Insulator in Twisted Bilayer
A recent experiment has reported the first observation of a zero-field fractional Chern
insulator (FCI) phase in twisted bilayer MoTe 2 moiré superlattices [J. Cai, Signatures of …
insulator (FCI) phase in twisted bilayer MoTe 2 moiré superlattices [J. Cai, Signatures of …
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 …
Composite Fermi Liquid at Zero Magnetic Field in Twisted
The pursuit of exotic phases of matter outside of the extreme conditions of a quantizing
magnetic field is a long-standing quest of solid state physics. Recent experiments have …
magnetic field is a long-standing quest of solid state physics. Recent experiments have …
Anomalous Hall crystals in rhombohedral multilayer graphene. I. Interaction-driven Chern bands and fractional quantum Hall states at zero magnetic field
Recent experiments on rhombohedral pentalayer graphene with a substrate-induced moiré
potential have identified both Chern insulators and fractional quantum Hall states at zero …
potential have identified both Chern insulators and fractional quantum Hall states at zero …
Quantum anomalous Hall crystal at fractional filling of moiré superlattices
We predict the emergence of a state of matter with intertwined ferromagnetism, charge order,
and topology in fractionally filled moiré superlattice bands. Remarkably, these quantum …
and topology in fractionally filled moiré superlattice bands. Remarkably, these quantum …
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 …
Parent Berry curvature and the ideal anomalous Hall crystal
We study a model of electrons moving in a parent band of uniform Berry curvature. At
sufficiently high parent Berry curvature, we show that strong repulsive interactions …
sufficiently high parent Berry curvature, we show that strong repulsive interactions …
Pressure-enhanced fractional Chern insulators along a magic line in moiré transition metal dichalcogenides
We show that pressure applied to twisted WSe 2 can enhance the many-body gap and
region of stability of a fractional Chern insulator at filling ν= 1/3. Our results are based on …
region of stability of a fractional Chern insulator at filling ν= 1/3. Our results are based on …
Maximally localized Wannier functions, interaction models, and fractional quantum anomalous Hall effect in twisted bilayer MoTe2
We investigate the moiré band structures and the strong correlation effects in twisted bilayer
MoTe 2 for a wide range of twist angles, employing a combination of various techniques …
MoTe 2 for a wide range of twist angles, employing a combination of various techniques …
Anomalous Hall crystals in rhombohedral multilayer graphene. II. General mechanism and a minimal model
We propose a minimal “three-patch model” for the anomalous Hall crystal (AHC), a
topological electronic state that spontaneously breaks both time-reversal symmetry and …
topological electronic state that spontaneously breaks both time-reversal symmetry and …