journal article·2026-02-20

Optimizing superlattice bilayer graphene for a fractional Chern insulator

Dathan Ault-McCoy, M. Nabil Y. Lhachemi, Aaron Dunbrack, Sayed Ali Akbar Ghorashi, Jennifer Cano

Physical Review B· Volume 113· Issue 7
Publisher page

Abstract

Bernal-stacked bilayer graphene modulated by a superlattice potential is a highly tunable system predicted to realize isolated topological flat bands. In this work we calculate the band structure and quantum geometry of bilayer graphene subject to both triangular and square superlattices, across a wide range of gate voltages. We identify the parameter regime that optimizes the "single-particle indicators" for the stability of a fractional Chern insulator (FCI) when a topological flat band is partially filled. Our results guide the experimental realization of an FCI in this platform.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Graphene research and applications · Topological Materials and Phenomena · Quantum and electron transport phenomena

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Stony Brook University

University of Jyväskylä

Flatiron Institute

Funding

National Science Foundation · Air Force Office of Scientific Research · Alfred P. Sloan Foundation

References (80)

Show source-provided references
1. 10.1073/pnas.110817410810.1073/pnas.1108174108 ↗
2. 10.1103/PhysRevB.82.12140710.1103/PhysRevB.82.121407 ↗
3. 10.1038/nature2615410.1038/nature26154 ↗
4. 10.1038/nature2616010.1038/nature26160 ↗
5. 10.1103/PhysRevLett.122.10640510.1103/PhysRevLett.122.106405 ↗
6. 10.1103/PhysRevLett.122.08640210.1103/PhysRevLett.122.086402 ↗
7. 10.1103/PhysRevResearch.2.03308710.1103/PhysRevResearch.2.033087 ↗
8. 10.1038/s41467-021-27042-910.1038/s41467-021-27042-9 ↗
9. 10.1103/PhysRevLett.129.05680410.1103/PhysRevLett.129.056804 ↗
10. 10.1073/pnas.211267311810.1073/pnas.2112673118 ↗
11. 10.1103/PhysRevX.15.01100410.1103/PhysRevX.15.011004 ↗
12. 10.1126/science.aay553310.1126/science.aay5533 ↗
13. 10.1126/science.aaw378010.1126/science.aaw3780 ↗
14. 10.1038/s41586-021-04171-110.1038/s41586-021-04171-1 ↗
15. 10.1038/s41586-020-3028-810.1038/s41586-020-3028-8 ↗
16. 10.1038/s41586-021-04002-310.1038/s41586-021-04002-3 ↗
17. 10.1038/nature1218610.1038/nature12186 ↗
18. 10.1126/science.123724010.1126/science.1237240 ↗
19. 10.1038/nature1218710.1038/nature12187 ↗
20. 10.1126/science.aan845810.1126/science.aan8458 ↗
21. 10.1103/PhysRevX.1.02101410.1103/PhysRevX.1.021014 ↗
22. 10.1038/ncomms138010.1038/ncomms1380 ↗
23. 10.1103/PhysRevLett.106.23680410.1103/PhysRevLett.106.236804 ↗
24. 10.1038/s41586-023-06289-w10.1038/s41586-023-06289-w ↗
25. 10.1038/s41586-023-06536-010.1038/s41586-023-06536-0 ↗
26. 10.1038/s41586-023-06452-310.1038/s41586-023-06452-3 ↗
27. 10.1103/PhysRevX.13.03103710.1103/PhysRevX.13.031037 ↗
28. 10.1038/s41586-023-07010-710.1038/s41586-023-07010-7 ↗
29. 10.1038/s41563-025-02225-710.1038/s41563-025-02225-7 ↗
30. 10.1038/s41586-021-04173-z10.1038/s41586-021-04173-z ↗
31. 10.1021/nl204547v10.1021/nl204547v ↗
32. 10.1038/s41467-021-25924-610.1038/s41467-021-25924-6 ↗
33. 10.1038/ncomms1080010.1038/ncomms10800 ↗
34. 10.1038/s41563-021-00973-w10.1038/s41563-021-00973-w ↗
35. 10.1088/2053-1583/ab59a810.1088/2053-1583/ab59a8 ↗
36. 10.1103/PhysRevLett.130.19620110.1103/PhysRevLett.130.196201 ↗
37. 10.1103/PhysRevB.107.16515810.1103/PhysRevB.107.165158 ↗
38. 10.1103/PhysRevB.108.07512610.1103/PhysRevB.108.075126 ↗
39. 10.1103/PhysRevLett.131.09640110.1103/PhysRevLett.131.096401 ↗
40. 10.1103/PhysRevLett.130.21640110.1103/PhysRevLett.130.216401 ↗
41. 10.1103/PhysRevB.109.19540610.1103/PhysRevB.109.195406 ↗
42. 10.1103/PhysRevB.111.04514810.1103/PhysRevB.111.045148 ↗
43. 10.1103/PhysRevB.110.20511510.1103/PhysRevB.110.205115 ↗
44. 10.1038/s41565-018-0138-710.1038/s41565-018-0138-7 ↗
45. 10.1038/s41565-017-0006-x10.1038/s41565-017-0006-x ↗
46. 10.1038/s41565-021-00849-910.1038/s41565-021-00849-9 ↗
47. 10.1038/s41467-022-34734-310.1038/s41467-022-34734-3 ↗
48. 10.1021/acs.nanolett.2c0435810.1021/acs.nanolett.2c04358 ↗
49. 10.1021/acs.nanolett.4c0323810.1021/acs.nanolett.4c03238 ↗
50. 10.1103/PhysRevLett.133.06630210.1103/PhysRevLett.133.066302 ↗
51. 10.1126/science.abd323010.1126/science.abd3230 ↗
52. 10.1126/science.abe817710.1126/science.abe8177 ↗
53. 10.1038/s41565-021-01059-z10.1038/s41565-021-01059-z ↗
54. 10.1038/s41563-023-01637-710.1038/s41563-023-01637-7 ↗
55. 10.1038/s41563-023-01754-310.1038/s41563-023-01754-3 ↗
56. 10.1038/s41467-024-55432-210.1038/s41467-024-55432-2 ↗
57. 10.1038/nature1094110.1038/nature10941 ↗
58. 10.1088/0034-4885/76/5/05650310.1088/0034-4885/76/5/056503 ↗
59. 10.1103/PhysRevB.80.16540610.1103/PhysRevB.80.165406 ↗
60. 10.1038/srep4282110.1038/srep42821 ↗
61. 10.1103/PhysRevB.85.24130810.1103/PhysRevB.85.241308 ↗
62. 10.1103/PhysRevB.90.16513910.1103/PhysRevB.90.165139 ↗
63. 10.1103/PhysRevLett.114.23680210.1103/PhysRevLett.114.236802 ↗
64. 10.1038/ncomms962910.1038/ncomms9629 ↗
65. 10.1103/PhysRevB.93.23513310.1103/PhysRevB.93.235133 ↗
66. 10.1103/PhysRevB.96.16515010.1103/PhysRevB.96.165150 ↗
67. 10.1103/PhysRevResearch.2.02323710.1103/PhysRevResearch.2.023237 ↗
68. 10.1103/PhysRevLett.127.24640310.1103/PhysRevLett.127.246403 ↗
69. 10.1103/PhysRevB.104.04510410.1103/PhysRevB.104.045104 ↗
70. 10.1103/PhysRevResearch.5.L03204810.1103/PhysRevResearch.5.L032048 ↗
71. 10.1103/PhysRevB.108.20514410.1103/PhysRevB.108.205144 ↗
72. 10.1103/PhysRevResearch.5.L03202210.1103/PhysRevResearch.5.L032022 ↗
73. 10.1103/PhysRevB.102.16514810.1103/PhysRevB.102.165148 ↗
74. 10.1103/PhysRevLett.133.15650410.1103/PhysRevLett.133.156504 ↗
75. 10.1103/PhysRevB.96.07531110.1103/PhysRevB.96.075311 ↗
76. 10.1103/PhysRevLett.131.13650210.1103/PhysRevLett.131.136502 ↗
77. 10.21468/SciPostPhys.12.4.11810.21468/SciPostPhys.12.4.118 ↗
78. 10.1103/PhysRevResearch.5.02316710.1103/PhysRevResearch.5.023167 ↗
79. 10.1103/PhysRevB.107.19542310.1103/PhysRevB.107.195423 ↗
80. D. Ault-McCoy, https://github.com/daultmcc-sbu/arxiv_2505_05551_data (2025).