CU-Boulder PHYS 7450 - Stripe Glasses: Self-Generated Randomness in a Uniformly Frustrated System (4 pages)

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Stripe Glasses: Self-Generated Randomness in a Uniformly Frustrated System



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Stripe Glasses: Self-Generated Randomness in a Uniformly Frustrated System

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Pages:
4
School:
University of Colorado at Boulder
Course:
Phys 7450 - Theory of Solid State 2
Theory of Solid State 2 Documents

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VOLUME 85 NUMBER 4 PHYSICAL REVIEW LETTERS 24 JULY 2000 Stripe Glasses Self Generated Randomness in a Uniformly Frustrated System J rg Schmalian 1 and Peter G Wolynes 2 1 Department of Physics and Astronomy and Ames Laboratory Iowa State University Ames Iowa 50011 2 Department of Chemistry University of Illinois at Urbana Champaign Urbana Illinois 61801 Received 15 March 2000 We show that a system with competing interactions on different length scales relevant to the formation of stripes in doped Mott insulators undergoes a self generated glass transition which is caused by the frustrated nature of the interactions and not related to the presence of quenched disorder An exponentially large number of metastable configurations is found leading to a slow landscape dominated long time relaxation and a breakup of the system into a disordered inhomogeneous state PACS numbers 75 10 Nr 61 43 Gt 74 25 q A model for a uniformly frustrated system with competition on different length scales is given by the Hamiltonian 7 1 Z 3 u 2 4 2 H w x d x r0 w x 1 w x 1 2 2 Q Z 3 Z 3 0 w x w x0 1 d x d x 1 2 jx 2 x0 j Competing interactions on different length scales are able to stabilize mesoscale phase separations and the creation of spatial inhomogeneities in a wide variety of systems Examples are stripe formation in doped Mott insulators as found in transition metal oxides TMO 1 2 domains in magnetic multilayer compounds 3 4 or mesoscopic structures formed by assembling polymers in solution and amphiphiles in water oil mixtures 5 6 In many of these cases the tendency towards a perfectly ordered array of domains stripes etc is undermined by frustrating long range interactions 7 Very often these assemblies exhibit a long time dynamics similar to the relaxation seen in glasses In the context of stripes it has been argued that the presence of only very few quenched impurities might already cause a strictly disordered glassy state 8 Furthermore recent molecular dynamics calculations for



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