DOI: 10.5061/dryad.zw3r228kj
title: Magnetoresistive detection of spin waves

description: We explore a detection method for spin-waves that consists of integrating
 a magneto-resistive sensor on a magnonic waveguide. When subjected to the
 stray magnetic field generated by the spin-wave, the relative orientation
 of the magnetizations of the two magnetic layers in the sensor oscillates
 in time, resulting in an electrical resistance change according to the
 so-called giant magneto-resistance effect. Upon application of an
 appropriate current bias, this variation of resistance translates into a
 sizable microwave voltage. At the sub-micrometer scale explored here, this
 signal is about fifty times larger than the one extracted from
 conventional inductive measurements of spin-waves for comparable detection
 areas. Moreover, such a detection scheme is expected to scale very
 favorably down to the nanometer size relevant for future magnon-based data
 processing architectures.
description: # Magnetoresistive detection of spin waves Dataset DOI:
 [10.5061/dryad.zw3r228kj](10.5061/dryad.zw3r228kj) ## Description of the
 data and file structure This dataset contains all the data exposed in the
 manuscript. ### Files and variables #### File: Inductive_20mT_1p5mA.txt
 **Description:** Fig. 2A. Corresponds to the inductive contribution in the
 total signal shown in Fig. 1C (pIDC_mIDC_20mT_1p5mA.txt) ##### Variables *
 Frequency: Microwave frequency applied in the exciting antenna (GHz) *
 Re(SigmaZ21): Blue (dashed), real part of the inductive contribution
 (mohms) * Im(SigmaZ21): Red, imaginary part of the inductive contribution
 (mohms) * Mag(SigmaZ21): Black (dotted), modulus of the inductive
 contribution (mohms) #### File: kalinikos_Py.txt **Description:** Fig. 2D
 blue curve. Theoretical resonance frequency of the spin-wave in the
 Permalloy (Py) waveguide vs applied field (Kalinikos and Slavin model)
 ##### Variables * Field: Magnitude of the applied field (mT) * Frequency:
 Theoretical resonance frequency vs field (GHz) #### File:
 MR_20mT_1p5mA.txt **Description:** Fig. 2B. Corresponds to the
 magnetoresistive (MR) contribution in the total mutual impedance DeltaZ21
 shown in Fig. 1C (pIDC_mIDC_20mT_1p5mA.txt) ##### Variables * Frequency:
 Microwave frequency applied in the exciting antenna (GHz) * Re(DeltaZ21):
 Blue (dashed), real part of the magnetoresistive contribution (mohms) *
 Im(DeltaZ21): Red, imaginary part of the magnetoresistive contribution
 (mohms) * Mag(DeltaZ21): Black (dotted), complex modulus of the
 magnetoresistive contribution (mohms) #### File: MR_vs_field_20mT.txt
 **Description:** Fig. 2C, real part of the magnetoresistive (MR)
 contribution for an external field of magnitude 20 mT ##### Variables *
 Frequency: Microwave frequency applied in the exciting antenna (GHz) *
 Smoothed Y1: Blue (dashed), real part of the magnetoresistive contribution
 for an external field of magnitude 20 mT (mohms) #### File:
 MR_vs_field_40mT.txt **Description:** Fig. 2C, real part of the
 magnetoresistive (MR) contribution for an external field of magnitude 40
 mT ##### Variables * Frequency: Microwave frequency applied in the
 exciting antenna (GHz) * Smoothed Y1: Light magenta, real part of the
 magnetoresistive contribution for an external field of magnitude 40 mT
 (mohms) #### File: MR_vs_field_60mT.txt **Description:** Fig. 2C, real
 part of the magnetoresistive (MR) contribution for an external field of
 magnitude 60 mT ##### Variables * Frequency: Microwave frequency applied
 in the exciting antenna (GHz) * Smoothed Y1: Black dotted, real part of
 the magnetoresistive contribution for an external field of magnitude 20 mT
 (mohms) #### File: pIDC_mIDC_20mT_1p5mA.txt **Description:** Fig. 1C.
 Total mutual impedance (DeltaZ21) signal measured for an applied field of
 20 mT, a DC bias of +/- I_DC = 1.5 mA in the GMR device. ##### Variables *
 Frequency: Microwave frequency applied in the exciting antenna *
 Re(DeltaZ21): real part of the total signal for a DC bias of I_DC=1.5mA
 (in mohms) * Re(DeltaZ21m): real part of the total signal for a DC bias of
 I_DC=-1.5mA (in mohms) #### File: theoretical_group_velocity.txt
 **Description:** Fig. 2D. Theoretical group velocity of the spin wave
 calculated from the Kalinikos and Slavin model. ##### Variables *
 Field: Magnitude of the applied field (mT) * vg: Red curve, theoretical
 group velocity calculated from the dispersion relation (km/s). #### File:
 fres_vs_H.txt **Description:** Fig. 2D. Data representing the resonance
 frequency (fres) of the magnetoresistive signal as a function of the
 applied field µ0H0. ##### Variables * Field: Magnitude of the applied
 field (mT) * fres: Squares, experimental resonance frequency of the
 magnetoresistive signal (GHz) * err_fres: error bars on fres #### File:
 group_velocity.txt **Description:** Fig. 2D. Experimentally measured group
 velocity of the spin wave. ##### Variables * Field: Magnitude of the
 applied field (mT) * vg: Circles, experimental group velocity as a
 function of the aappliedfield (km/s) * err_vg: error bars on vg #### File:
 FL_response_fct.txt **Description:** Fig. 3B. Simulated response function
 of the free layer (FL) from an excitation provided by the microwave
 antenna. ##### Variables * Frequency: Frequency of the oscillating field
 of the antenna (GHz) * Re(Xxx_FL): real part of the simulated free layer
 response function (arbitrary units) * Im(Xxx_FL): imaginary part of the
 simulated free layer response function (arbitrary units) * Mod(Xxx_FL):
 modulus of the simulated free layer response function (arbitrary units) ##
 Code/software Data can be plotted using Python with packages Pandas and
 matplotlib