Direct magnetic imaging of fractional Chern insulators in twisted MoTe2
Abstract
In the absence of time reversal symmetry, orbital magnetization provides a sensitive probe of topology and interactions, with particularly rich phenomenology in Chern insulators where topological edge states carry large equilibrium currents. Here, we use a nanoscale superconducting sensor to map the magnetic fringe fields in twisted bilayers of MoTe2, where transport and optical sensing experiments have revealed the formation of fractional Chern insulator (FCI) states at zero magnetic field. At a temperature of 1.6K, we observe oscillations in the local magnetic field associated with fillings ν=−1,−2/3,−3/5,−4/7 and −5/9 of the first moiré hole band, consistent with the formation of FCIs at these fillings. By quantitatively reconstructing the magnetization, we determine the local thermodynamic gaps of the most robust FCI state at ν=−2/3, finding −2/3Δ as large as 7 meV. Spatial mapping of the charge density- and displacement field-tuned magnetic phase diagram further allows us to characterize sample disorder, which we find to be dominated by both inhomogeneity in the effective unit cell area as well as inhomogeneity in the band edge offset and bound dipole moment. Our results highlight both the challenges posed by structural disorder in the study of twisted homobilayer moiré systems and the opportunities afforded by the remarkably robust nature of the underlying correlated topological states.
This README.txt file was generated on 2024-08-30 by Evgeny Redekop
- Title of Dataset: Data for Direct magnetic imaging of
fractional Chern insulators in twisted MoTe2 - Author Information
A. Principal Investigator Contact Information
Name: Andrea Young
Institution: UCSB
Address: Broida Hall, 4113
Email: afy2003@ucsb.edu
Methods: We used buffer acquisition instruments to collect the data and matlab for the analysis.
Datasets 11926-11928 (magnetic phase diagram data)
Column 1: Trace (0)/ Retrace (1)
Column 2: fast axis index
Column 3: slow axis index
Column 4: Bottom gate voltage (V)
Column 5: Top gate voltage (V)
Column 6: SQUID signal 1wx (V)
Column 7: SQUID signal DC (V)
squidSlope = 500 V/T;
SR560Gain = 10;
SR560GainDC = 20;
SR860Sensitivity = 0.001;
Dataset 12068 - 1d (magnetic phase diagram data)
Column 1: Trace (0)/ Retrace (1)
Column 2: fast axis index
Column 3: slow axis index
Column 4: Bottom gate voltage (V)
Column 5: Top gate voltage (V)
Column 6: SQUID signal 1wx (V)
Column 7: SQUID signal DC (V)
squidSlope = -500 V/T;
SR560Gain = 10;
SR560GainDC = 20;
SR860Sensitivity = 0.05;
Dataset 12060 - 1f (magnetic linecut data)
Column 1: Trace (0)/ Retrace (1)
Column 2: slow axis index
Column 3: fast axis index
Column 4: Bottom gate voltage (V)
Column 5: Top gate voltage (V)
Column 6: n0 voltage (V)
Column 7: p0 voltage (V)
Column 8: SQUID signal 1wx (V)
Column 9: SQUID signal DC (V)
SR_sensitivity = 0.002;
SR560Gain = 10;
SR560GainDC = 20;
squidSlope = -200 V/T
Dataset 12061 - 1f (magnetic linecut data)
Column 1: Trace (0)/ Retrace (1)
Column 2: slow axis index
Column 3: fast axis index
Column 4: Bottom gate voltage (V)
Column 5: Top gate voltage (V)
Column 6: SQUID signal 1wx (V)
Column 7: SQUID signal DC (V)
SR_sensitivity = 0.002;
SR560Gain = 10;
SR560GainDC = 20;
squidSlope = -200 V/T
Dataset 12140 - 1f_inset:12142 - 1f_inset_ (magnetic phase diagram data)
Column 1: Trace (0)/ Retrace (1)
Column 2: slow axis index
Column 3: fast axis index
Column 4: Bottom gate voltage (V)
Column 5: Top gate voltage (V)
Column 6: n0 voltage (V)
Column 7: p0 voltage (V)
Column 8: SQUID signal 1wx (V)
Column 9: SQUID signal 1wy (V)
Column 10: SQUID signal DC (V)
SR560GainDC = 20;
SR560Gain = 10;
SR860Sensitivity = 0.0005;
squidSlope = 200 V/T;
Dataset 11671-11673 (magnetic 2D video data)
Column 1: Trace (0)/ Retrace (1)
Column 2: bottom gate index
Column 3: n0 voltage (V)
Column 4: p0 voltage (V)
Column 5: Bottom gate voltage (V)
Column 6: Sample gate voltage (V)
Column 7: x index
Column 8: y index
Column 9: x coordinate
Column 10: y coordinate
Column 11: SQUID signal 1wx (V)
Column 12: SQUID signal DC (V)
squidSlope = 280 V/T for 11671 and 100 V/T for 11673;
SR560Gain = 10;
SR560GainDC = 50;
SR860Sensitivity = 0.005;
Dataset 12240 - 3a (magnetic 2D video data)
Column 1: Trace (0)/ Retrace (1)
Column 2: bottom gate index
Column 3: n0 voltage (V)
Column 4: p0 voltage (V)
Column 5: Bottom gate voltage (V)
Column 6: Sample gate voltage (V)
Column 7: x index
Column 8: y index
Column 9: x coordinate
Column 10: y coordinate
Column 11: SQUID signal 1wx (V)
Column 12: SQUID signal DC (V)
squidSlope = 500;
SR560Gain = 10;
SR560GainDC = 50;
SR860Sensitivity = 0.0005;
Dataset 12270 - 3b (magnetic 2D video data)
Column 1: Trace (0)/ Retrace (1)
Column 2: bottom gate index
Column 3: n0 voltage (V)
Column 4: p0 voltage (V)
Column 5: Bottom gate voltage (V)
Column 6: Sample gate voltage (V)
Column 7: x index
Column 8: y index
Column 9: x coordinate
Column 10: y coordinate
Column 11: SQUID signal 1wx (V)
Column 12: SQUID signal DC (V)
squidSlope = 500;
SR560Gain = 10;
SR560GainDC = 50;
SR860Sensitivity = 0.0005;
Dataset 11756 - 4d:11759 - 4d (magnetic phase diagram data)
Column 1: Trace (0)/ Retrace (1)
Column 2: slow axis index
Column 3: fast axis index
Column 4: Bottom gate voltage (V)
Column 5: Top gate voltage (V)
Column 6: SQUID signal 1wx (V)
squidSlope = 200 V/T;
SR560Gain = 10;
SR860Sensitivity = 0.005;
Dataset 12273 - 4f (magnetic phase diagram data)
Column 1: Trace (0)/ Retrace (1)
Column 2: bottom gate index
Column 3: n0 voltage (V)
Column 4: p0 voltage (V)
Column 5: Bottom gate voltage (V)
Column 6: Sample gate voltage (V)
Column 7: x index
Column 8: y index
Column 9: x coordinate
Column 10: y coordinate
Column 11: SQUID signal 1wx (V)
Column 12: SQUID signal DC (V)
squidSlope = 500 V/T;
SR560Gain = 10;
SR560GainDC = 50;
Folder "Script" contains all the scripts necessary for reproducing the data presented in the manuscript. "OpenDataVaultFile2.m" can be used for reading the data from the .txt files provided in folder "Data". All the scripts are written in Matlab 2022b.
