magnetic field dependence of the tunneling density of

1
13,000,000% at 60 T ~ WTe 2 structure Type-I k x k y E Type-II k x k y E Fermi arc W1 W2 k y k x k z Magnetic field dependence of the tunneling density of states in the type II Weyl semimetal WTe 2 We present STM measurements at very high magnetic fields in We present STM measurements at very high magnetic fields in the type II Weyl semimetal WTe 2 . WTe 2 presents a huge nonsaturating magnetoresistance (6 orders of magnitude between 0 T and 14 T at 4.2 K [1,2]). To understand the origin of this effect, which has been put in relation to possible topological properties in the bandstructure, we have performed detailed atomic scale tunneling density of states measurements as a function of the magnetic field. We follow topography and tunneling density of states as a function of the magnetic field up to 14 T. We show that the overall bandstructure remains magnetic field independent, apart the formation of Landau Levels [3,4]. We notice a phase difference in these oscillations that follows the atomic periodicity. I will discuss the relationship of this observation to the topological properties of the band structure in this material. [1] M. N. Ali et al., Nature, 514 205-208 (2014) [2] Y. Wu et al., Phys. Rev. Lett., 115, 166602 (2015) [3] N. H. Jo et al., Proc. N. A. S., 116.51, 25524-25529 (2019) [4] Z. Zhu et al., Phys. Rev. Lett., 114, 176601 (2015) [5] F. Martín-Vega et al. In preparation [6] Rodrigo, J.G., y S. Vieira. Physica C, 404, (2004), 306 Experimental setup Shapal STM Crystal structure a b c W Te c a b x Cleaved at low temperatures 17T magnet c 100 μm R. Sánchez-Barquilla 1,2 , F. Martín Vega 1,2 , H. Suderow 1,2 , I. Guillamón 1,2 , M. Ochi 3 , R. Arita 4 , N.H. Jo 5,6 , S.L. Bud’ko 5,6 , P.C. Canfield 5,6 Email: [email protected] 1 Laboratorio de Bajas Temperaturas, Departamento de Física de la Materia Condensada, Instituto de Ciencia de Materiales Nicolás Cabrera and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, Cantoblanco, E-28049 Madrid, Spain 2 Unidad Asociada de Bajas Temperaturas y Altos Campos Magnéticos, UAM/CSIC, Cantoblanco, E-28049 Madrid, Spain 3 Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan 4 RIKEN Center for Emergent Matter Science, Wako, Saitama 351-0198, Japan 5 Ames Laboratory, U.S. DOE, Iowa State University, Ames, Iowa 50011, USA 6 Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA 10T 11T 12T 14T Top Bottom 0T −∞ E Topographies are equal for all magnetic fields, so the density of states has not big variations under field. = ( = ) → 0 0 100 = with magnetic field Gold tip: = = 100 1.6nm = 100 1.9nm = 100 1.4nm = 100 2.0nm = 100 = + ℏ = 1.3 Å 0 Å = E k E F Semimetal Topography at I=cte Landau Levels at 14T Tip Sample holder Head Feedback signal in Co 3 Sn 2 S 2 4 orders of magnitude between 0T and 14T = E n- E n E n+ E n+1+ E n+1 Spectroscopy = 0.22 In agreement with SdH oscillations Band structure Giant magnetoresistance Weyl semimetal Anti-vibration system Weyl points [7] A. Soluyanov et al., Nature, 527, 495 (2015) [8] Yanfei Zhao et al., Phys. Rev. B. 92, 041104(R) (2015) [9] Mazhar N. Ali et al. Nature volume 514, pages205208(2014) [10] PhD thesis, I. Guillamon (2009) [11] Na Hyun Jo et al. arXiv: 1901.05090 [5] [6] [7] [8] [9] [10] [10] [11]

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Page 1: Magnetic field dependence of the tunneling density of

13,000,000% at 60 T

~𝑯𝟐

WTe2 structure

Type-I

kx

ky

E

Type-II

kx

ky

E

Fermi arc

W1 W2

ky

kx

kz

Magnetic field dependence of the tunneling density of states in the type II Weyl semimetal WTe2

We present STM measurements at very high magnetic fields in

We present STM measurements at very high magnetic fields in the type II Weyl semimetal WTe2. WTe2 presents a huge nonsaturating magnetoresistance (6orders of magnitude between 0 T and 14 T at 4.2 K [1,2]). To understand the origin of this effect, which has been put in relation to possible topological propertiesin the bandstructure, we have performed detailed atomic scale tunneling density of states measurements as a function of the magnetic field. We followtopography and tunneling density of states as a function of the magnetic field up to 14 T. We show that the overall bandstructure remains magnetic fieldindependent, apart the formation of Landau Levels [3,4]. We notice a phase difference in these oscillations that follows the atomic periodicity. I will discuss therelationship of this observation to the topological properties of the band structure in this material.

[1] M. N. Ali et al., Nature, 514 205-208 (2014)

[2] Y. Wu et al., Phys. Rev. Lett., 115, 166602 (2015)

[3] N. H. Jo et al., Proc. N. A. S., 116.51, 25524-25529 (2019)

[4] Z. Zhu et al., Phys. Rev. Lett., 114, 176601 (2015)

[5] F. Martín-Vega et al. In preparation

[6] Rodrigo, J.G., y S. Vieira. Physica C, 404, (2004), 306

Experimental setup

Shapal STM

Crystal structure

ab

c

W

Te

c

a

bx

Cleaved at low temperatures17T magnet

c

100 µm

R. Sánchez-Barquilla1,2, F. Martín Vega1,2, H. Suderow1,2, I. Guillamón1,2, M. Ochi3, R. Arita4, N.H. Jo5,6, S.L. Bud’ko5,6, P.C. Canfield5,6

Email: [email protected]

1 Laboratorio de Bajas Temperaturas, Departamento de Física de la Materia Condensada, Instituto de Ciencia de Materiales Nicolás Cabrera and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, Cantoblanco, E-28049 Madrid, Spain2 Unidad Asociada de Bajas Temperaturas y Altos Campos Magnéticos, UAM/CSIC, Cantoblanco, E-28049 Madrid, Spain3 Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan4 RIKEN Center for Emergent Matter Science, Wako, Saitama 351-0198, Japan5 Ames Laboratory, U.S. DOE, Iowa State University, Ames, Iowa 50011, USA6 Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA

10T 11T 12T 14T

Top

Bottom

0T

𝐼 ∝ ∞−∞𝑁𝑠 𝐸 − 𝑒𝑉 𝑁𝑡 𝐸 𝑓 𝐸 − 𝑒𝑉 − 𝑓 𝐸 𝑑E

Topographies are equal for all magnetic fields, so the density of states has not big variations under field.

𝜎 𝑒𝑉𝐵𝐼𝐴𝑆 = 𝑁𝑠 (𝐸 = 𝑒𝑉𝐵𝐼𝐴𝑆)

𝑇 → 0𝐾

න0

100 𝑚𝑉

𝐷𝑂𝑆 = 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 with magnetic field

Gold tip: 𝑁𝑡 = 𝑐𝑡𝑒

𝐵𝐼𝐴𝑆 = 100𝑚𝑉

1.6nm

𝐵𝐼𝐴𝑆 = 100𝑚𝑉

1.9nm

𝐵𝐼𝐴𝑆 = 100𝑚𝑉

1.4nm

𝐵𝐼𝐴𝑆 = 100𝑚𝑉

2.0nm

𝐵𝐼𝐴𝑆 = 100𝑚𝑉

𝐸 = 𝑛 + 𝛿 ℏ𝜔

𝜔 =𝑒𝐵

𝑚∗

1.3 Å0 Å

𝜎 𝑉 =𝑑𝐼 𝑉

𝑑𝑉∝ 𝑁𝑠 𝐸

𝜕𝑓 𝐸 − 𝑒𝑉

𝜕𝑉𝑑𝐸

E

k

EF

Semimetal

Topography at I=cte

Landau Levels at 14T

Tip

Sample holder

Head

Feedback signal in Co3Sn2S2

4 orders of magnitude between 0T and 14T

𝜹 =𝟏

𝟐

En-𝛿

En

En+𝛿

En+1+𝛿

En+1

Spectroscopy

𝑚∗= 0.22 𝑚𝑒

In agreement withSdH oscillations

Band structure

Giant magnetoresistance

Weyl semimetal

Anti-vibration system

Weyl points

[7] A. Soluyanov et al., Nature, 527, 495 (2015)

[8] Yanfei Zhao et al., Phys. Rev. B. 92, 041104(R) (2015)

[9] Mazhar N. Ali et al. Nature volume 514, pages205–208(2014)

[10] PhD thesis, I. Guillamon (2009)

[11] Na Hyun Jo et al. arXiv: 1901.05090

[5] [6]

[7]

[8]

[9]

[10][10]

[11]