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Title: Probing one-dimensional systems via noise magnetometry with single spin qubits

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4];  [4];  [4]
  1. Harvard Univ., Cambridge, MA (United States); DOE/OSTI
  2. Princeton Univ., NJ (United States)
  3. Univ. of Geneva (Switzerland)
  4. Harvard Univ., Cambridge, MA (United States)

The study of exotic one-dimensional states, particularly those at the edges of topological materials, demand new experimental probes that can access the interplay between charge and spin degrees of freedom. One potential approach is to use a single spin probe, such as a nitrogen vacancy center in diamond, which has recently emerged as a versatile tool to probe nanoscale systems in a noninvasive fashion. Here, we present a theory describing how noise magnetometry with spin probes can directly address several questions that have emerged in experimental studies of 1D systems, including those in topological materials. We show that by controlling the spin degree of freedom of the probe, it is possible to measure locally and independently local charge and spin correlations of 1D systems. Visualization of 1D edge states, as well as sampling correlations with wave-vector resolution can be achieved by tuning the probe-to-sample distance. Furthermore, temperature-dependent measurements of magnetic noise can clearly delineate the dominant scattering mechanism (impurities versus interactions)—this is of particular relevance to quantum spin Hall measurements where conductance quantization is not perfect. Here, the possibility to probe both charge and spin excitations in a wide range of length scales opens new pathways to bridging the large gap between atomic scale resolution of scanning probes and global transport measurements.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
NSF; USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
SC0002140
OSTI ID:
1610641
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 19 Vol. 98; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (72)

Dynamical correlations journal January 2003
What lurks below the last plateau: experimental studies of the 0.7 × 2 e 2 / h conductance anomaly in one-dimensional systems journal October 2011
Umklapp process and resistivity in one-dimensional fermion systems journal August 1991
Nonuniversal Conductance Quantization in Quantum Wires journal November 1996
Spin-Charge Separation and Localization in One Dimension journal April 2005
Nanoscale Nuclear Magnetic Resonance conference January 2013
Conductance of a helical edge liquid coupled to a magnetic impurity text January 2011
Variable range hopping and quantum creep in one dimension text January 2003
Dynamic Compressibility and aging in Wigner crystals and quantum glasses text January 2005
Variational theory of elastic manifolds with correlated disorder and localization of interacting quantum particles text January 1995
Manifestation of spin-charge separation in the dynamic dielectric response of one--dimensional Sr2CuO3 text January 1998
Bosonization for beginners - refermionization for experts journal November 1998
Loss and heating of particles in small and noisy traps journal December 1999
Nuclear magnetic relaxation and resonnance line shift in metals journal July 1950
Dynamical correlations journal January 2003
Observation of spin and charge collective modes in one-dimensional metallic chains journal December 1999
Half-metallic graphene nanoribbons journal November 2006
The nature of domain walls in ultrathin ferromagnets revealed by scanning nanomagnetometry journal April 2015
Nanometre-scale probing of spin waves using single electron spins journal August 2015
Spatial imaging of the spin Hall effect and current-induced polarization in two-dimensional electron gases journal September 2005
High-sensitivity diamond magnetometer with nanoscale resolution journal September 2008
Nanoscale magnetic imaging of a single electron spin under ambient conditions journal February 2013
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
Vector magnetic field microscopy using nitrogen vacancy centers in diamond journal March 2010
One-dimensional Fermi liquids journal September 1995
Limits to magnetic resonance microscopy journal August 2002
Magnetometry with nitrogen-vacancy defects in diamond journal May 2014
What lurks below the last plateau: experimental studies of the 0.7 × 2 e 2 / h conductance anomaly in one-dimensional systems journal October 2011
Quantum Physics in One Dimension book December 2003
Quantum electrodynamics in the presence of dielectrics and conductors. I. Electromagnetic-field response functions and black-body fluctuations in finite geometries journal January 1975
Qubit relaxation from evanescent-wave Johnson noise journal July 2012
Dynamics of the charge-density wave. I. Impurity pinning in a single chain journal January 1978
Anderson localization and interactions in one-dimensional metals journal January 1988
Umklapp process and resistivity in one-dimensional fermion systems journal August 1991
Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas journal December 1992
Variational theory of elastic manifolds with correlated disorder and localization of interacting quantum particles journal June 1996
Spin splitting of subbands in quasi-one-dimensional electron quantum channels journal November 1996
Homogeneous Dynamical Conductivity of Simple Metals journal August 1972
Stability of the quantum spin Hall effect: Effects of interactions, disorder, and Z 2 topology journal January 2006
Relaxation in quantum dots due to evanescent-wave Johnson noise journal January 2013
Resistance of helical edges formed in a semiconductor heterostructure journal September 2014
Magnetic noise spectroscopy as a probe of local electronic correlations in two-dimensional systems journal April 2017
Kondo Effect in the Helical Edge Liquid of the Quantum Spin Hall State journal June 2009
Large Violation of the Wiedemann-Franz Law in Luttinger Liquids journal August 2009
Edge Dynamics in a Quantum Spin Hall State: Effects from Rashba Spin-Orbit Interaction journal June 2010
Conductance of a Helical Edge Liquid Coupled to a Magnetic Impurity journal June 2011
Inelastic Electron Backscattering in a Generic Helical Edge Channel journal April 2012
Temperature- and Magnetic-Field-Dependent Longitudinal Spin Relaxation in Nitrogen-Vacancy Ensembles in Diamond journal May 2012
Helical Edge Resistance Introduced by Charge Puddles journal May 2013
Images of Edge Current in InAs / GaSb Quantum Wells journal July 2014
Effective Harmonic-Fluid Approach to Low-Energy Properties of One-Dimensional Quantum Fluids journal December 1981
Transport in a one-channel Luttinger liquid journal February 1992
Absence of spin diffusion in most random lattices journal May 1992
Possible Spin Polarization in a One-Dimensional Electron Gas journal July 1996
Observation of Spin-Charge Separation in One-Dimensional SrCu O 2 journal November 1996
Nonuniversal Conductance Quantization in Quantum Wires journal November 1996
Manifestation of Spin-Charge Separation in the Dynamic Dielectric Response of One-Dimensional Sr 2 Cu O 3 journal July 1998
Variable-Range Hopping and Quantum Creep in One Dimension journal July 2003
Experimental Observation of the Spin-Hall Effect in a Two-Dimensional Spin-Orbit Coupled Semiconductor System journal February 2005
Quantum Spin Hall Effect in Graphene journal November 2005
Dynamic Compressibility and Aging in Wigner Crystals and Quantum Glasses journal June 2006
Near-field radiative heat transfer and noncontact friction journal October 2007
Quantum sensing journal July 2017
Observation of the Spin Hall Effect in Semiconductors journal December 2004
Spin-Charge Separation and Localization in One Dimension journal April 2005
Quantum Spin Hall Insulator State in HgTe Quantum Wells journal November 2007
Probing Spin-Charge Separation in a Tomonaga-Luttinger Liquid journal July 2009
Nanoscale Nuclear Magnetic Resonance with a Nitrogen-Vacancy Spin Sensor journal January 2013
Probing Johnson noise and ballistic transport in normal metals with a single-spin qubit journal January 2015
Control and local measurement of the spin chemical potential in a magnetic insulator journal July 2017
Transport, Collective Motion, and Brownian Motion journal March 1965

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Imaging graphene field-effect transistors on diamond using nitrogen-vacancy microscopy text January 2019
Ion-induced interactions in a Tomonaga-Luttinger liquid text January 2019