Strange metal behavior of the Hall angle in twisted bilayer graphene

Lyu, Rui; Tuchfeld, Zachary; Verma, Nishchhal; Tian, Haidong; Watanabe, Kenji; Taniguchi, Takashi; Lau, Chun Ning; Randeria, Mohit; Bockrath, Marc

doi:10.1103/physrevb.103.245424

Title: Strange metal behavior of the Hall angle in twisted bilayer graphene

Abstract

Twisted bilayer graphene (TBG) with interlayer twist angles near the magic angle ≈ 1.08° hosts flat bands and exhibits correlated states including Mott-like insulators, superconductivity, and magnetism. Additionally, a linear-in-temperature normal state resistivity in TBG has been attributed to an exotic Planckian dissipation mechanism but can be equally well explained in terms of conventional electron-phonon scattering. To address this issue, we perform combined temperature-dependent transport measurements of both the longitudinal and Hall resistivities in near-magic-angle TBG. While the observed longitudinal resistivity follows linear temperature T dependence consistent with previous reports, the Hall resistance shows an anomalous T dependence with the cotangent of the Hall angle cot Θ_H∝T². Boltzmann theory for quasiparticle transport predicts that both the resistivity and cot Θ_H should have the same T dependence, contradicting the observed behavior. This failure of quasiparticle-based theories is reminiscent of other correlated strange metals such as cuprates.

Authors:

Lyu, Rui ^[1]; Tuchfeld, Zachary ^[1];

^[1]; Tian, Haidong ^[1]; Watanabe, Kenji ^[2]; Taniguchi, Takashi ^[2]; Lau, Chun Ning ^[1]; Randeria, Mohit ^[1]; Bockrath, Marc ^[1]

The Ohio State Univ., Columbus, OH (United States)
National Inst. for Materials Science, Tsukuba (Japan)

Publication Date:: Thu Jun 17 00:00:00 EDT 2021

Research Org.:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Science Foundation (NSF)

OSTI Identifier:: 1853500

Grant/Contract Number:: SC0020187; DMR-1420451; DMR-2011876

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B

Additional Journal Information:: Journal Volume: 103; Journal Issue: 24; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; mesoscopics; bilayer films; graphene; band structure methods; Boltzmann theory; resistivity measurements; transport techniques

Citation Formats


                    Lyu, Rui, Tuchfeld, Zachary, Verma, Nishchhal, Tian, Haidong, Watanabe, Kenji, Taniguchi, Takashi, Lau, Chun Ning, Randeria, Mohit, and Bockrath, Marc. Strange metal behavior of the Hall angle in twisted bilayer graphene.  United States: N. p., 2021. 
Web.  doi:10.1103/physrevb.103.245424.

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                    Lyu, Rui, Tuchfeld, Zachary, Verma, Nishchhal, Tian, Haidong, Watanabe, Kenji, Taniguchi, Takashi, Lau, Chun Ning, Randeria, Mohit, & Bockrath, Marc. Strange metal behavior of the Hall angle in twisted bilayer graphene.  United States.  https://doi.org/10.1103/physrevb.103.245424

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                    Lyu, Rui, Tuchfeld, Zachary, Verma, Nishchhal, Tian, Haidong, Watanabe, Kenji, Taniguchi, Takashi, Lau, Chun Ning, Randeria, Mohit, and Bockrath, Marc. Thu .  
"Strange metal behavior of the Hall angle in twisted bilayer graphene".  United States.  https://doi.org/10.1103/physrevb.103.245424.  https://www.osti.gov/servlets/purl/1853500.

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@article{osti_1853500,

  title        = {Strange metal behavior of the Hall angle in twisted bilayer graphene},

  author       = {Lyu, Rui and Tuchfeld, Zachary and Verma, Nishchhal and Tian, Haidong and Watanabe, Kenji and Taniguchi, Takashi and Lau, Chun Ning and Randeria, Mohit and Bockrath, Marc},

  abstractNote = {Twisted bilayer graphene (TBG) with interlayer twist angles near the magic angle ≈ 1.08° hosts flat bands and exhibits correlated states including Mott-like insulators, superconductivity, and magnetism. Additionally, a linear-in-temperature normal state resistivity in TBG has been attributed to an exotic Planckian dissipation mechanism but can be equally well explained in terms of conventional electron-phonon scattering. To address this issue, we perform combined temperature-dependent transport measurements of both the longitudinal and Hall resistivities in near-magic-angle TBG. While the observed longitudinal resistivity follows linear temperature T dependence consistent with previous reports, the Hall resistance shows an anomalous T dependence with the cotangent of the Hall angle cot ΘH∝T2. Boltzmann theory for quasiparticle transport predicts that both the resistivity and cot ΘH should have the same T dependence, contradicting the observed behavior. This failure of quasiparticle-based theories is reminiscent of other correlated strange metals such as cuprates.},

  doi          = {10.1103/physrevb.103.245424},

  journal      = {Physical Review. B},

  number       = 24,

  volume       = 103,

  place        = {United States},

  year         = {Thu Jun 17 00:00:00 EDT 2021},

  month        = {Thu Jun 17 00:00:00 EDT 2021}

}

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Title: Strange metal behavior of the Hall angle in twisted bilayer graphene

Abstract

Citation Formats

Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle journal, September 2019

Transport measurements in twisted bilayer graphene: Electron-phonon coupling and Landau level crossing journal, July 2018

The Remarkable Underlying Ground States of Cuprate Superconductors journal, March 2019

Effect of Zn impurities on the normal-state Hall angle in single-crystal YBa_{2}Cu_{3-x}Zn_{x}O_{7-δ} journal, October 1991

Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene journal, October 2019

Principles of the Theory of Solids book, January 1972

Unconventional superconductivity in magic-angle graphene superlattices journal, March 2018

Intrinsic quantized anomalous Hall effect in a moiré heterostructure journal, December 2019

Why the temperature is high journal, July 2004

Temperature dependence of the Hall angle in single-crystal YBa 2 ( Cu 1 − x Co x ) 3 O 7 − δ journal, November 1992

Tunable moiré bands and strong correlations in small-twist-angle bilayer graphene journal, March 2017

Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene journal, July 2019

Temperature dependence of the quantum Hall effect in graphene journal, March 2008

A Quantum Critical Point Lying Beneath the Superconducting Dome in Iron Pnictides journal, March 2014

Charge trapping and scattering in epitaxial graphene journal, November 2011

Electronic correlations in twisted bilayer graphene near the magic angle journal, August 2019

Electrons and Phonons book, January 2001

Fermi-liquid instabilities at magnetic quantum phase transitions journal, August 2007

Thermodynamic signatures of quantum criticality in cuprate superconductors journal, February 2019

Faithful tight-binding models and fragile topology of magic-angle bilayer graphene journal, May 2019

Bad metallic transport in a cold atom Fermi-Hubbard system journal, December 2018

Similarity of Scattering Rates in Metals Showing T-Linear Resistivity journal, February 2013

Exact continuum model for low-energy electronic states of twisted bilayer graphene journal, August 2019

Maximized electron interactions at the magic angle in twisted bilayer graphene journal, July 2019

Large linear-in-temperature resistivity in twisted bilayer graphene journal, August 2019

Electronic transport in two-dimensional graphene journal, May 2011

Evidence for Interlayer Coupling and Moiré Periodic Potentials in Twisted Bilayer Graphene journal, November 2012

Moire bands in twisted double-layer graphene journal, July 2011

Correlated insulator behaviour at half-filling in magic-angle graphene superlattices journal, March 2018

Phonon-induced giant linear-in- T resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity journal, April 2019

van der Waals Heterostructures with High Accuracy Rotational Alignment journal, February 2016

Tuning superconductivity in twisted bilayer graphene journal, January 2019

Boron nitride substrates for high-quality graphene electronics journal, August 2010

Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands journal, September 2018

Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene journal, September 2018

Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene journal, July 2019

Charge order and broken rotational symmetry in magic-angle twisted bilayer graphene journal, July 2019

Continuum model of the twisted graphene bilayer journal, October 2012

Universal T-linear resistivity and Planckian dissipation in overdoped cuprates journal, November 2018

Strange Metal in Magic-Angle Graphene with near Planckian Dissipation journal, February 2020

Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle
journal, September 2019

Transport measurements in twisted bilayer graphene: Electron-phonon coupling and Landau level crossing
journal, July 2018

The Remarkable Underlying Ground States of Cuprate Superconductors
journal, March 2019

Effect of Zn impurities on the normal-state Hall angle in single-crystal YBa_{2}Cu_{3-x}Zn_{x}O_{7-δ}
journal, October 1991

Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene
journal, October 2019

Principles of the Theory of Solids
book, January 1972

Unconventional superconductivity in magic-angle graphene superlattices
journal, March 2018

Intrinsic quantized anomalous Hall effect in a moiré heterostructure
journal, December 2019

Why the temperature is high
journal, July 2004

Temperature dependence of the Hall angle in single-crystal ${YBa}_{2}$ ( ${Cu}_{1 - x}$ ${Co}_{x}$ $)_{3}$ $O_{7 - δ}$
journal, November 1992

Tunable moiré bands and strong correlations in small-twist-angle bilayer graphene
journal, March 2017

Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
journal, July 2019

Temperature dependence of the quantum Hall effect in graphene
journal, March 2008

A Quantum Critical Point Lying Beneath the Superconducting Dome in Iron Pnictides
journal, March 2014

Charge trapping and scattering in epitaxial graphene
journal, November 2011

Electronic correlations in twisted bilayer graphene near the magic angle
journal, August 2019

Electrons and Phonons
book, January 2001

Fermi-liquid instabilities at magnetic quantum phase transitions
journal, August 2007

Thermodynamic signatures of quantum criticality in cuprate superconductors
journal, February 2019

Faithful tight-binding models and fragile topology of magic-angle bilayer graphene
journal, May 2019

Bad metallic transport in a cold atom Fermi-Hubbard system
journal, December 2018

Similarity of Scattering Rates in Metals Showing T-Linear Resistivity
journal, February 2013

Exact continuum model for low-energy electronic states of twisted bilayer graphene
journal, August 2019

Maximized electron interactions at the magic angle in twisted bilayer graphene
journal, July 2019

Large linear-in-temperature resistivity in twisted bilayer graphene
journal, August 2019

Electronic transport in two-dimensional graphene
journal, May 2011

Evidence for Interlayer Coupling and Moiré Periodic Potentials in Twisted Bilayer Graphene
journal, November 2012

Moire bands in twisted double-layer graphene
journal, July 2011

Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
journal, March 2018

Phonon-induced giant linear-in- $T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
journal, April 2019

van der Waals Heterostructures with High Accuracy Rotational Alignment
journal, February 2016

Tuning superconductivity in twisted bilayer graphene
journal, January 2019

Boron nitride substrates for high-quality graphene electronics
journal, August 2010

Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands
journal, September 2018

Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene
journal, September 2018

Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene
journal, July 2019

Charge order and broken rotational symmetry in magic-angle twisted bilayer graphene
journal, July 2019

Continuum model of the twisted graphene bilayer
journal, October 2012

Universal T-linear resistivity and Planckian dissipation in overdoped cuprates
journal, November 2018

Strange Metal in Magic-Angle Graphene with near Planckian Dissipation
journal, February 2020