Built on

S. Moriyama, Y. Morita, K. Komatsu, K. Endo, T. Iwasaki, S. Nakaharai, Y. Noguchi, Y. Wakayama, E. Watanabe, D. Tsuya, K. Watanabe, and T. Taniguchi, Observation of superconductivity in bilayer graphene/hexagonal boron nitride superlattices, arXiv e-prints , arXiv:1901.09356 (2019), arXiv:1901.09356 [cond-mat.supr-con]
Original
1901
Earlier work this paper cites.
G. Chen, A. L. Sharpe, P. Gallagher, I. T. Rosen, E. Fox, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi, J. Jung, Z. Shi, D. Goldhaber-Gordon, Y. Zhang, and F. Wang, Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moir\’e Superlattice, arXiv e-prints , arXiv:1901.04621 (2019), arXiv:1901.04621 [cond-mat.supr-con]
Original
1901
Earlier work this paper cites.
H. Polshyn, M. Yankowitz, S. Chen, Y. Zhang, K. Watanabe, T. Taniguchi, C. R. Dean, and A. F. Young, Phonon scattering dominated electron transport in twisted bilayer graphene, arXiv e-prints , arXiv:1902.00763 (2019), arXiv:1902.00763 [cond-mat.str-el]
Original
1902
Earlier work this paper cites.
C. Shen, N. Li, S. Wang, Y. Zhao, J. Tang, J. Liu, J. Tian, Y. Chu, K. Watanabe, T. Taniguchi, R. Yang, Z. Y. Meng, D. Shi, and G. Zhang, Observation of superconductivity with Tc onset at 12K in electrically tunable twisted double bilayer graphene, arXiv e-prints , arXiv:1903.06952 (2019), arXiv:1903.06952 [cond-mat.supr-con]
Original
1903
Earlier work this paper cites.
X. Liu, Z. Hao, E. Khalaf, J. Y. Lee, K. Watanabe, T. Taniguchi, A. Vishwanath, and P. Kim, Spin-polarized Correlated Insulator and Superconductor in Twisted Double Bilayer Graphene, arXiv e-prints , arXiv:1903.08130 (2019), arXiv:1903.08130 [cond-mat.mes-hall]
Original
1903
Earlier work this paper cites.
K. Endo, K. Komatsu, T. Iwasaki, E. Watanabe, D. Tsuya, K. Watanabe, T. Taniguchi, Y. Noguchi, Y. Wakayama, Y. Morita, and S. Moriyama, Topological Valley Currents in Bilayer Graphene/Hexagonal Boron Nitride Superlattices, arXiv e-prints , arXiv:1903.00625 (2019), arXiv:1903.00625 [cond-mat.mes-hall]
Original
1903
Earlier work this paper cites.
J. M. Luttinger, The effect of a magnetic field on electrons in a periodic potential, Phys. Rev. 84
1951
Earlier work this paper cites.
V. L. Berezinsky, Destruction of long range order in one-dimensional and two-dimensional systems having a continuous symmetry group. I. Classical systems, Sov. Phys. JETP 32
1971
Earlier work this paper cites.
J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems, Journal of Physics C: Solid State Physics 6
1973
Earlier work this paper cites.
D. J. Scalapino, S. R. White, and S. C. Zhang, Superfluid density and the drude weight of the hubbard model, Phys. Rev. Lett. 68
1992
Earlier work this paper cites.
V. Emery and S. Kivelson, Importance of phase fluctuations in superconductors with small superfluid density, Nature 374
1995
Earlier work this paper cites.
N. Marzari and D. Vanderbilt, Maximally localized generalized wannier functions for composite energy bands, Phys. Rev. B 56
1997
Earlier work this paper cites.
G. Grüner and C. Dahl, Millimeter and submillimeter wave spectroscopy of solids , Vol. 200 (Springer, 1998)
1998
Earlier work this paper cites.
J. Corson, R. Mallozzi, J. Orenstein, J. Eckstein, and I. Bozovic, Vanishing of phase coherence in underdoped bi 2 sr 2 cacu 2 o 8 + δ \rm bi_{2}sr_{2}cacu_{2}o_{8+\delta} , Nature 398
1999
Earlier work this paper cites.
I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Resonantly enhanced tunneling in a double layer quantum hall ferromagnet, Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
M. Tinkham, Introduction to superconductivity (Courier Corporation, 2004)
2004
Earlier work this paper cites.
E. Suárez Morell, J. D. Correa, P. Vargas, M. Pacheco, and Z. Barticevic, Flat bands in slightly twisted bilayer graphene: Tight-binding calculations, Phys. Rev. B 82
2010
Earlier work this paper cites.
S. D. Huber and E. Altman, Bose condensation in flat bands, Phys. Rev. B 82
2010
Earlier work this paper cites.
R. Cheng, Quantum geometric tensor (fubini-study metric) in simple quantum system: A pedagogical introduction, arXiv preprint arXiv:1012.1337 (2010)
Original
2010
Earlier work this paper cites.
R. Bistritzer and A. H. MacDonald, Moiré bands in twisted double-layer graphene, Proceedings of the National Academy of Sciences 108
2011
Earlier work this paper cites.
D. Basov and A. V. Chubukov, Manifesto for a higher T c T_{c} , Nature Physics 7
2011
Earlier work this paper cites.
N. Marzari, A. A. Mostofi, J. R. Yates, I. Souza, and D. Vanderbilt, Maximally localized wannier functions: Theory and applications, Rev. Mod. Phys. 84
2012
Earlier work this paper cites.

Similar

S. Misra, L. Urban, M. Kim, G. Sambandamurthy, and A. Yazdani, Measurements of the magnetic-field-tuned conductivity of disordered two-dimensional mo 43 ge 57 {\mathrm{mo}}_{43}{\mathrm{ge}}_{57} and ino x {\mathrm{ino}}_{x} superconducting films: Evidence for a universal minimum superfluid response, Phys. Rev. Lett. 110
2013
Cited alongside, same era.
S. Peotta and P. Törmä, Superfluidity in topologically nontrivial flat bands, Nature Communications 6
2015
Cited alongside, same era.
M. Tovmasyan, S. Peotta, P. Törmä, and S. D. Huber, Effective theory and emergent SU ( 2 ) \text{SU}(2) symmetry in the flat bands of attractive hubbard models, Phys. Rev. B 94
2016
Cited alongside, same era.
Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Unconventional superconductivity in magic-angle graphene superlattices, Nature 556
2018
Cited alongside, same era.

Then

H. C. Po, L. Zou, T. Senthil, and A. Vishwanath, Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene, ArXiv e-prints (2018), arXiv:1808.02482 [cond-mat.str-el]
Original
2018
Later among the works it cites.
J. Ahn, S. Park, and B.-J. Yang, Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle, ArXiv e-prints (2018), arXiv:1808.05375 [cond-mat.mes-hall]
Original
2018
Later among the works it cites.
E. Laksono, J. N. Leaw, A. Reaves, M. Singh, X. Wang, S. Adam, and X. Gu, Singlet superconductivity enhanced by charge order in nested twisted bilayer graphene fermi surfaces, Solid State Communications 282
2018
Later among the works it cites.
J. W. F. Venderbos and R. M. Fernandes, Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene, Phys. Rev. B 98
2018
Later among the works it cites.

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Reading the bibliography…

2019

Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene

Xie, Fang, Song, Zhida, Lian, Biao et al.

Understand

While regular flat bands are good for enhancing the density of states and hence the gap, they are detrimental to the superfluid weight.

We show that the predicted nontrivial topology of the two lowest flat bands of twisted bilayer graphene plays an important role in the enhancement of the superfluid weight and hence of superconductivity.
We derive the superfluid weight (phase stiffness) of the TBLG superconducting flat bands with a uniform pairing, and show that it can be expressed as an integral of the Fubini-Study metric of the flat bands.
This mirrors results already obtained for nonzero Chern number bands even though the TBLG flat bands have zero Chern number.

Built on

S. Moriyama, Y. Morita, K. Komatsu, K. Endo, T. Iwasaki, S. Nakaharai, Y. Noguchi, Y. Wakayama, E. Watanabe, D. Tsuya, K. Watanabe, and T. Taniguchi, Observation of superconductivity in bilayer graphene/hexagonal boron nitride superlattices, arXiv e-prints , arXiv:1901.09356 (2019), arXiv:1901.09356 [cond-mat.supr-con]
Original
1901
Earlier work this paper cites.
G. Chen, A. L. Sharpe, P. Gallagher, I. T. Rosen, E. Fox, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi, J. Jung, Z. Shi, D. Goldhaber-Gordon, Y. Zhang, and F. Wang, Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moir\’e Superlattice, arXiv e-prints , arXiv:1901.04621 (2019), arXiv:1901.04621 [cond-mat.supr-con]
Original
1901
Earlier work this paper cites.
H. Polshyn, M. Yankowitz, S. Chen, Y. Zhang, K. Watanabe, T. Taniguchi, C. R. Dean, and A. F. Young, Phonon scattering dominated electron transport in twisted bilayer graphene, arXiv e-prints , arXiv:1902.00763 (2019), arXiv:1902.00763 [cond-mat.str-el]
Original
1902
Earlier work this paper cites.
C. Shen, N. Li, S. Wang, Y. Zhao, J. Tang, J. Liu, J. Tian, Y. Chu, K. Watanabe, T. Taniguchi, R. Yang, Z. Y. Meng, D. Shi, and G. Zhang, Observation of superconductivity with Tc onset at 12K in electrically tunable twisted double bilayer graphene, arXiv e-prints , arXiv:1903.06952 (2019), arXiv:1903.06952 [cond-mat.supr-con]
Original
1903
Earlier work this paper cites.
X. Liu, Z. Hao, E. Khalaf, J. Y. Lee, K. Watanabe, T. Taniguchi, A. Vishwanath, and P. Kim, Spin-polarized Correlated Insulator and Superconductor in Twisted Double Bilayer Graphene, arXiv e-prints , arXiv:1903.08130 (2019), arXiv:1903.08130 [cond-mat.mes-hall]
Original
1903
Earlier work this paper cites.
K. Endo, K. Komatsu, T. Iwasaki, E. Watanabe, D. Tsuya, K. Watanabe, T. Taniguchi, Y. Noguchi, Y. Wakayama, Y. Morita, and S. Moriyama, Topological Valley Currents in Bilayer Graphene/Hexagonal Boron Nitride Superlattices, arXiv e-prints , arXiv:1903.00625 (2019), arXiv:1903.00625 [cond-mat.mes-hall]
Original
1903
Earlier work this paper cites.
J. M. Luttinger, The effect of a magnetic field on electrons in a periodic potential, Phys. Rev. 84
1951
Earlier work this paper cites.
V. L. Berezinsky, Destruction of long range order in one-dimensional and two-dimensional systems having a continuous symmetry group. I. Classical systems, Sov. Phys. JETP 32
1971
Earlier work this paper cites.
J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems, Journal of Physics C: Solid State Physics 6
1973
Earlier work this paper cites.
D. J. Scalapino, S. R. White, and S. C. Zhang, Superfluid density and the drude weight of the hubbard model, Phys. Rev. Lett. 68
1992
Earlier work this paper cites.
V. Emery and S. Kivelson, Importance of phase fluctuations in superconductors with small superfluid density, Nature 374
1995
Earlier work this paper cites.
N. Marzari and D. Vanderbilt, Maximally localized generalized wannier functions for composite energy bands, Phys. Rev. B 56
1997
Earlier work this paper cites.
G. Grüner and C. Dahl, Millimeter and submillimeter wave spectroscopy of solids , Vol. 200 (Springer, 1998)
1998
Earlier work this paper cites.
J. Corson, R. Mallozzi, J. Orenstein, J. Eckstein, and I. Bozovic, Vanishing of phase coherence in underdoped bi 2 sr 2 cacu 2 o 8 + δ \rm bi_{2}sr_{2}cacu_{2}o_{8+\delta} , Nature 398
1999
Earlier work this paper cites.
I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Resonantly enhanced tunneling in a double layer quantum hall ferromagnet, Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
M. Tinkham, Introduction to superconductivity (Courier Corporation, 2004)
2004
Earlier work this paper cites.
E. Suárez Morell, J. D. Correa, P. Vargas, M. Pacheco, and Z. Barticevic, Flat bands in slightly twisted bilayer graphene: Tight-binding calculations, Phys. Rev. B 82
2010
Earlier work this paper cites.
S. D. Huber and E. Altman, Bose condensation in flat bands, Phys. Rev. B 82
2010
Earlier work this paper cites.
R. Cheng, Quantum geometric tensor (fubini-study metric) in simple quantum system: A pedagogical introduction, arXiv preprint arXiv:1012.1337 (2010)
Original
2010
Earlier work this paper cites.
R. Bistritzer and A. H. MacDonald, Moiré bands in twisted double-layer graphene, Proceedings of the National Academy of Sciences 108
2011
Earlier work this paper cites.
D. Basov and A. V. Chubukov, Manifesto for a higher T c T_{c} , Nature Physics 7
2011
Earlier work this paper cites.
N. Marzari, A. A. Mostofi, J. R. Yates, I. Souza, and D. Vanderbilt, Maximally localized wannier functions: Theory and applications, Rev. Mod. Phys. 84
2012
Earlier work this paper cites.

Similar

S. Misra, L. Urban, M. Kim, G. Sambandamurthy, and A. Yazdani, Measurements of the magnetic-field-tuned conductivity of disordered two-dimensional mo 43 ge 57 {\mathrm{mo}}_{43}{\mathrm{ge}}_{57} and ino x {\mathrm{ino}}_{x} superconducting films: Evidence for a universal minimum superfluid response, Phys. Rev. Lett. 110
2013
Cited alongside, same era.
S. Peotta and P. Törmä, Superfluidity in topologically nontrivial flat bands, Nature Communications 6
2015
Cited alongside, same era.
M. Tovmasyan, S. Peotta, P. Törmä, and S. D. Huber, Effective theory and emergent SU ( 2 ) \text{SU}(2) symmetry in the flat bands of attractive hubbard models, Phys. Rev. B 94
2016
Cited alongside, same era.
Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Unconventional superconductivity in magic-angle graphene superlattices, Nature 556
2018
Cited alongside, same era.

Then

H. C. Po, L. Zou, T. Senthil, and A. Vishwanath, Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene, ArXiv e-prints (2018), arXiv:1808.02482 [cond-mat.str-el]
Original
2018
Later among the works it cites.
J. Ahn, S. Park, and B.-J. Yang, Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle, ArXiv e-prints (2018), arXiv:1808.05375 [cond-mat.mes-hall]
Original
2018
Later among the works it cites.
E. Laksono, J. N. Leaw, A. Reaves, M. Singh, X. Wang, S. Adam, and X. Gu, Singlet superconductivity enhanced by charge order in nested twisted bilayer graphene fermi surfaces, Solid State Communications 282
2018
Later among the works it cites.
J. W. F. Venderbos and R. M. Fernandes, Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene, Phys. Rev. B 98
2018
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

S. Huang, K. Kim, D. K. Efimkin, T. Lovorn, T. Taniguchi, K. Watanabe, A. H. MacDonald, E. Tutuc, and B. J. LeRoy, Topologically protected helical states in minimally twisted bilayer graphene, Phys. Rev. Lett. 121

2018

Cited alongside, same era.

N. F. Q. Yuan and L. Fu, Model for the metal-insulator transition in graphene superlattices and beyond, Phys. Rev. B 98

2018

Cited alongside, same era.

H. C. Po, L. Zou, A. Vishwanath, and T. Senthil, Origin of mott insulating behavior and superconductivity in twisted bilayer graphene, Phys. Rev. X 8

2018

Cited alongside, same era.

C. Xu and L. Balents, Topological superconductivity in twisted multilayer graphene, Phys. Rev. Lett. 121

2018

Cited alongside, same era.

J. F. Dodaro, S. A. Kivelson, Y. Schattner, X. Q. Sun, and C. Wang, Phases of a phenomenological model of twisted bilayer graphene, Phys. Rev. B 98

2018

Cited alongside, same era.

F. Wu, A. H. MacDonald, and I. Martin, Theory of phonon-mediated superconductivity in twisted bilayer graphene, Phys. Rev. Lett. 121

2018

Cited alongside, same era.

H. Isobe, N. F. Q. Yuan, and L. Fu, Unconventional superconductivity and density waves in twisted bilayer graphene, Phys. Rev. X 8

2018

Cited alongside, same era.

T. Huang, L. Zhang, and T. Ma, Antiferromagnetically ordered Mott insulator and d + i d d+id superconductivity in twisted bilayer graphene: A quantum Monte carlo study, ArXiv e-prints (2018), arXiv:1804.06096 [cond-mat.supr-con]

Original

2018

Cited alongside, same era.

L. Chen, H.-Z. Li, and R.-S. Han, Magnetic impurity resonance states for different pairing symmetries in twisted bilayer graphene, Journal of Physics: Condensed Matter 31

2018