activity
20172026
most citedFractional Chern insulators in magic-angle twisted bilayer graphene

556 citations · 2.3k across the 38 of their papers we have counts for

collaborators

38 papers

cond-mat.mes-hall2026

Skyrmion Fractional Chern Insulator: An Intrinsically Multiband Route to Fractionalization in Rhombohedral Graphene

Julian May-Mann, Tixuan Tan, Patrick J. Ledwith +2

We propose an unconventional microscopic origin for the fractional quantum anomalous Hall (FQAH) effect in rhombohedral graphene moiré superlattices: skyrmion fractionalization. We…

cond-mat.str-el2026

Trion Excitations in Twisted Bilayer Graphene: A Quantum Monte Carlo Study

Shibo Shan, Cheng Huang, Patrick Ledwith +1

Determining the nature of charge carriers is a fundamental goal in the study of strongly correlated electron systems. Here, we employ the continuous-field momentum-space quantum Mo…

cond-mat.str-el2026

Monte Carlo Studies of Twisted Bilayer Graphene: Strain and Thermal Fluctuations

Johannes S. Hofmann, Patrick Ledwith, Ashvin Vishwanath +2

We study the phase diagram of twisted bilayer graphene at charge neutrality as a function of twist angle , uniaxial heterostrain , and temperature using sign-pr…

cond-mat.str-el2026

Controlled expansion for correlated electrons with concentrated kinematics

Pavel A Nosov, Eslam Khalaf, Patrick Ledwith

We introduce a systematic expansion tailored to systems with strong local interactions and capable of computing response functions, including finite DC transport, analytically. The…

cond-mat.mes-hall2025

The ideal limit of rhombohedral graphene: Interaction-induced layer-skyrmion lattices and their collective excitations

Tixuan Tan, Patrick J. Ledwith, Trithep Devakul

We introduce an ideal limit of rhombohedral graphene multilayers. In this limit, we show analytically how short-range repulsion stabilizes a layer-pseudospin skyrmion lattice, whic…

cond-mat.str-el2025

Four Moiré materials at One Magic Angle in Helical Quadrilayer Graphene

Manato Fujimoto, Naoto Nakatsuji, Ashvin Vishwanath +1

We introduce helical twisted quadrilayer graphene (HTQG), four graphene sheets rotated by the same small angle, as a versatile and experimentally accessible platform for correlated…

cond-mat.str-el2025

Gradient-based search of quantum phases: discovering unconventional fractional Chern insulators

André Grossi Fonseca, Eric Wang, Sachin Vaidya +3

The discovery and understanding of new quantum phases has time and again transformed both fundamental physics and technology, yet progress often relies on slow, intuition-based the…

cond-mat.str-el2025

Exotic Carriers from Concentrated Topology: Dirac Trions as the Origin of the Missing Spectral Weight in Twisted Bilayer Graphene

Patrick J. Ledwith, Ashvin Vishwanath, Eslam Khalaf

The nature of charge carriers in twisted bilayer graphene (TBG) near , where superconductivity emerges, remains mysterious. While various symmetry-broken ground states have…

cond-mat.str-el2025

Modulation of superconductivity across a Lifshitz transition in alternating-angle twisted quadrilayer graphene

Isabelle Y. Phinney, Andrew Zimmerman, Zeyu Hao +5

We report electric field-controlled modulation of the Fermi surface topology and explore its effects on the superconducting state in alternating-angle twisted quadrilayer graphene…

cond-mat.str-el2024★ 10 cited

Bootstrapping the Quantum Hall problem

Qiang Gao, Ryan A. Lanzetta, Patrick Ledwith +2

The bootstrap method aims to solve problems by imposing constraints on the space of physical observables, which often follow from physical assumptions such as positivity and symmet…

cond-mat.str-el2024★ 12 cited

Nonlocal Moments in the Chern Bands of Twisted Bilayer Graphene

Patrick J. Ledwith, Junkai Dong, Ashvin Vishwanath +1

Twisted bilayer graphene (TBG) has elements in common with two paradigmatic examples of strongly correlated physics: quantum Hall physics and Hubbard physics. On one hand, TBG host…

cond-mat.str-el2024

Constraints on real space representations of Chern bands

Qingchen Li, Junkai Dong, Patrick J. Ledwith +1

A Chern band is characterized by a Wannier obstruction indicating the absence of a basis of complete, orthogonal, and exponentially-localized states. Here, we study the properties…

cond-mat.mes-hall2024★ 9 cited

Imaging Coulomb interactions and migrating Dirac cones in twisted graphene by local quantum oscillations

Matan Bocarsly, Indranil Roy, Vishal Bhardwaj +12

Flat band moiré graphene systems have emerged as a quintessential platform to investigate correlated phases of matter. A plethora of interaction-driven ground states have been prop…

cond-mat.supr-con2024

Superfluid stiffness of twisted multilayer graphene superconductors

Abhishek Banerjee, Zeyu Hao, Mary Kreidel +12

The robustness of the macroscopic quantum nature of a superconductor can be characterized by the superfluid stiffness, , a quantity that describes the energy required to vary…

cond-mat.mes-hall2024★ 1 cited

Strong interactions and isospin symmetry breaking in a supermoiré lattice

Yonglong Xie, Andrew T. Pierce, Jeong Min Park +10

In multilayer moiré heterostructures, the interference of multiple twist angles ubiquitously leads to tunable ultra-long-wavelength patterns known as supermoiré lattices. However,…

cond-mat.mes-hall2024★ 23 cited

Higher vortexability: zero field realization of higher Landau levels

Manato Fujimoto, Daniel E. Parker, Junkai Dong +3

The rise of moiré materials has led to experimental realizations of integer and fractional Chern insulators in small or vanishing magnetic fields. At the same time, a set of minima…

cond-mat.str-el2023

Strong-coupling topological states and phase transitions in helical trilayer graphene

Yves H. Kwan, Patrick J. Ledwith, Chiu Fan Bowen Lo +1

Magic-angle helical trilayer graphene relaxes into commensurate moiré domains, whose topological and well-isolated set of narrow bands possess ideal characteristics for realizing r…

cond-mat.str-el2023★ 119 cited

Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe

Junkai Dong, Jie Wang, Patrick J. Ledwith +2

The pursuit of exotic phases of matter outside of the extreme conditions of a quantizing magnetic field has been a long standing quest of solid state physics. Recent experiments ha…

cond-mat.str-el2023★ 85 cited

Magic-angle helical trilayer graphene

Trithep Devakul, Patrick J. Ledwith, Li-Qiao Xia +4

We propose helical trilayer graphene (HTG), a helical structure featuring identical rotation angles between three consecutive layers of graphene, as a unique a…

cond-mat.mes-hall2022★ 3 cited

Untwisting moiré physics: Almost ideal bands and fractional Chern insulators in periodically strained monolayer graphene

Qiang Gao, Junkai Dong, Patrick Ledwith +2

Moiré systems have emerged in recent years as a rich platform to study strong correlations. Here, we will discuss a simple, experimentally feasible setup based on periodically stra…

cond-mat.mes-hall2022★ 55 cited

Exact Many-Body Ground States from Decomposition of Ideal Higher Chern Bands: Applications to Chirally Twisted Graphene Multilayers

Junkai Dong, Patrick J. Ledwith, Eslam Khalaf +2

Motivated by the higher Chern bands of twisted graphene multilayers, we consider flat bands with arbitrary Chern number with ideal quantum geometry. While bands differ fr…

cond-mat.str-el2022★ 139 cited

Vortexability: A Unifying Criterion for Ideal Fractional Chern Insulators

Patrick J. Ledwith, Ashvin Vishwanath, Daniel E. Parker

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 kn…

cond-mat.mes-hall2022★ 47 cited

Dirac cone spectroscopy of strongly correlated phases in twisted trilayer graphene

Cheng Shen, Patrick J. Ledwith, Kenji Watanabe +4

Mirror-symmetric magic-angle twisted trilayer graphene (MATTG) hosts flat electronic bands close to zero energy, and has been recently shown to exhibit abundant correlated quantum…

cond-mat.str-el2021★ 24 cited

Field-tuned and zero-field fractional Chern insulators in magic angle graphene

Daniel Parker, Patrick Ledwith, Eslam Khalaf +7

In contrast to the fractional quantum Hall (FQH) effect, where electron density fixes the applied magnetic field, fractional Chern insulators (FCIs) can realize FQH states in compa…