Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Imaging gate-tunable Tomonaga–Luttinger liquids in 1H-MoSe2 mirror twin boundaries

Journal Article · · Nature Materials
 [1];  [2];  [1];  [3];  [4];  [5];  [1];  [5];  [6];  [6];  [1];  [7];  [1];  [1];  [8];  [1];  [1];  [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States); Fudan Univ., Shanghai (China)
  3. Univ. of California, Berkeley, CA (United States)
  4. Chinese Academy of Sciences, Beijing (China); Songshan Lake Materials Lab., Dongguan (China)
  5. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  6. National Inst. for Materials Science, Tsukuba (Japan)
  7. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  8. Chinese Academy of Sciences, Beijing (China); Songshan Lake Materials Lab., Dongguan (China); Univ. of Chinese Academy of Sciences, Beijing (China)
One-dimensional electron systems exhibit fundamentally different properties than higher-dimensional systems. For example, electron-electron interactions in one-dimensional electron systems have been predicted to induce Tomonaga-Luttinger liquid behaviour. Naturally occurring grain boundaries in single-layer transition metal dichalcogenides exhibit one-dimensional conducting channels that have been proposed to host Tomonaga-Luttinger liquids, but charge density wave physics has also been suggested to explain their behaviour. Clear identification of the electronic ground state of this system has been hampered by an inability to electrostatically gate such boundaries and tune their charge carrier concentration. Here we present a scanning tunnelling microscopy and spectroscopy study of gate-tunable mirror twin boundaries in single-layer 1H-MoSe2 devices. Gating enables scanning tunnelling microscopy and spectroscopy for different mirror twin boundary electron densities, thus allowing precise characterization of electron-electron interaction effects. Visualization of the resulting mirror twin boundary electronic structure allows unambiguous identification of collective density wave excitations having two velocities, in quantitative agreement with the spin-charge separation predicted by finite-length Tomonaga-Luttinger liquid theory.
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
Directorate for Mathematical & Physical Sciences; Guangdong Basic and Applied Basic Research Foundation; Ministry of Education, Culture, Sports, Science and Technology; National Research Foundation of Korea; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1881896
Journal Information:
Nature Materials, Journal Name: Nature Materials Journal Issue: 7 Vol. 21; ISSN 1476-1122
Publisher:
Springer Nature - Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (41)

Direct Observation of One-Dimensional Peierls-type Charge Density Wave in Twin Boundaries of Monolayer MoTe 2 journal June 2020
Charge Density Modulation and the Luttinger Liquid State in MoSe2 Mirror Twin Boundaries journal August 2020
Metallic Twin Grain Boundaries Embedded in MoSe 2 Monolayers Grown by Molecular Beam Epitaxy journal April 2017
Luttinger-liquid behaviour in carbon nanotubes journal February 1999
Carbon nanotube intramolecular junctions journal November 1999
Direct observation of Tomonaga–Luttinger-liquid state in carbon nanotubes at low temperatures journal December 2003
Angle resolved photoemission spectroscopy reveals spin charge separation in metallic MoSe2 grain boundary journal February 2017
Epitaxial growth of single-domain graphene on hexagonal boron nitride journal July 2013
Observation of a Luttinger-liquid plasmon in metallic single-walled carbon nanotubes journal July 2015
Gate-controlled ionization and screening of cobalt adatoms on a graphene surface journal October 2010
Distinct spinon and holon dispersions in photoemission spectral functions from one-dimensional SrCuO2 journal May 2006
Charge density wave order in 1D mirror twin boundaries of single-layer MoSe2 journal April 2016
Tomonaga–Luttinger liquid in the edge channels of a quantum spin Hall insulator journal October 2019
An Exactly Soluble Model of a Many‐Fermion System journal September 1963
Exact Solution of a Many‐Fermion System and Its Associated Boson Field journal February 1965
'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas journal July 1981
Mirror twin grain boundaries in molybdenum dichalcogenides journal November 2018
Quantum Physics in One Dimension book December 2003
Manipulating Hubbard-type Coulomb blockade effect of metallic wires embedded in an insulator journal October 2022
Interacting one-dimensional electron gas with open boundaries journal June 1995
Properties of a Luttinger liquid with boundaries at finite temperature and size journal December 1997
Luttinger liquid in a finite one-dimensional wire with box-like boundary conditions journal December 2003
Renormalization of impurity scattering in one-dimensional interacting electron systems in magnetic field journal July 2005
Local spectral weight of a Luttinger liquid: Effects from edges and impurities journal August 2006
Bosonization of strongly interacting one-dimensional electrons journal October 2007
Nonequilibrium Transport Through a Gate-Controlled Barrier on the Quantum Spin Hall Edge journal November 2012
Kondo effect in a Luttinger liquid journal December 1992
Kondo effect in a Tomonaga-Luttinger liquid journal February 1994
Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension journal February 1996
Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes journal December 1997
Experimental Evidence for Resonant Tunneling in a Luttinger Liquid journal February 2000
Real Space Imaging of One-Dimensional Standing Waves: Direct Evidence for a Luttinger Liquid journal October 2004
The dynamics of charge-density waves journal October 1988
Chiral Luttinger liquids at the fractional quantum Hall edge journal November 2003
Spatial and energy variation of the local density of states in the charge density wave phase of 2H–NbSe2 journal March 1996
Tunneling Spectroscopy of the Elementary Excitations in a One-Dimensional Wire journal February 2002
Spin-Charge Separation and Localization in One Dimension journal April 2005
Probing Spin-Charge Separation in a Tomonaga-Luttinger Liquid journal July 2009
Single-Electron Transport in Ropes of Carbon Nanotubes journal March 1997
Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems journal July 1950
Introduction to bosonization journal March 2003

Similar Records

Charge density wave order in 1D mirror twin boundaries of single-layer MoSe2
Journal Article · Sun Apr 17 20:00:00 EDT 2016 · Nature Physics · OSTI ID:1379553

Graphene-driven correlated electronic states in one dimensional defects within WS2
Journal Article · Tue Dec 31 19:00:00 EST 2024 · Nature Communications · OSTI ID:2583651

Tuning the many-body interactions in a helical Luttinger liquid
Journal Article · Wed Oct 19 20:00:00 EDT 2022 · Nature Communications · OSTI ID:2422090