1. Stripe Ordering in the Cuprates Leland Harriger Homework Project for Solid State II Instructor: Elbio Dagotto Physics Dept., University of Tennessee at Knoxville Spring 2009

2. What is Stripe Ordering? A periodic modulation of charge and spin. Modulation of charge and spin are related by the phase boundary. Result: Spin periodicity is twice that of charge periodicity

3. Why does Stripe Ordering Occur?

4. The Distance that Separates.

5. Scattering Basics (Preclude to testing for stripe ordering.)

6. Magnetic Scattering

7. Reciprocal Space of CuO 4 in the Presence of Stripe Ordering. Big Circles are nuclear Bragg peaks. Small plusses are magnetic Bragg peaks. Other symbols are incommensurate spreading of peaks due to stripe ordering.

8. Estimate of δ as a function of x.

9. Neutron Scattering The triple axis spectrometer is very versatile for measurements of bulk solids. Q-scans (ie: momentum transfer)  Both elastic and inelastic  Typically performed at a fixed energy transfer. Energy Scans  Set E=0 for elastic scans  Typically performed at a fixed Q.

10. What Proof do We have of Stripe Ordering?

11. What does Stripe Ordering Mean for Superconductivity?

12. References [1] J. Orenstein, et. al Science 288, 468 (2000) J. Tranquada, et. al. Nature 375, 561 J. Tranquada, et. al. Phys. Rev. Lett. 78, 338 S. Chi, et. al. Phys. Rev. Lett. 102 107005 Ph. Bourges, et. al. Physica C 424, 45 Yamada K. et. al. Phys. Rev. B 57 6165