A. J. Millis

Columbia University

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T. Venkatesan

University of Oklahoma

L. B. Ioffe

Google (United States)

K. H. Ahn

New Jersey Institute of Technology

L. B. Ioffe

Google (United States)

H. Monien

Center for Theoretical Physics

R. L. Greene

University of Maryland, College Park

Boris I. Shraiman

University of California, Santa Barbara

S. Das Sarma

University of Maryland, College Park

Satishchandra Ogale

Indian Institute of Science Education and Research Pune

P. B. Littlewood

University of Chicago

Cooperative Institutions

Columbia University

University of Maryland, College Park

Centre National de la Recherche Scientifique

University of Washington

University of California, Santa Barbara

Rutgers, The State University of New Jersey

University of California, San Diego

Cornell University

Massachusetts Institute of Technology

Tsinghua University

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Dynamic Jahn-Teller Effect and Colossal Magnetoresistance inLa1−xSrxMnO

Physical Review Letters (1996)

A. J. Millis Boris I. Shraiman R. O. Mueller

A model for the doped rare-earth manganites such as ${\mathrm{La}}_{1\ensuremath{-}x}{\mathrm{Sr}}_{x}{\mathrm{MnO}}_{3}$ incorporating the physics of dynamic Jahn-Teller and double-exchange effects is presented and solved via a dynamical mean field approximation. The interplay of these two effects as the electron phonon coupling is varied reproduces the observed behavior of the resistivity and magnetic transition temperature.

Colossal Magnetoresistance

Jahn–Teller effect

10.1103/physrevlett.77.175

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Citations (1,362)

Co-doped La0.5Sr0.5TiO3−δ: Diluted magnetic oxide system with high Curie temperature

Applied Physics Letters (2003)

Yonggang Zhao S. R. Shinde Satishchandra Ogale J. S. Higgins R. J. Choudhary

Ferromagnetism is observed at and above room temperature in pulsed laser deposited epitaxial films of Co-doped Ti-based oxide perovskite (La1-xSrxTiO3-d). The system has the characteristics of an intrinsic diluted magnetic semiconductor (metal) at low concentrations (<~ 2 %), but develops inhomogeneity at higher cobalt concentrations. The films range from being opaque metallic to transparent semiconducting depending on the oxygen pressure during growth and are yet ferromagnetic.

Curie

Magnetic semiconductor

10.1063/1.1610796

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Citations (55)

Comment on “Transverse Gauge Interactions and the Vanquished Fermi Liquid”

Physical Review Letters (1995)

B. L. Altshuler L. B. Ioffe A. J. Millis

A Comment on the Letter by Sudip Chakravarty, Richard E. Norton, Olav F. Syljuåsen Phys. Rev. Lett. 74, 1423 (1995). The authors of the Letter offer a Reply.Received 6 April 1995DOI:https://doi.org/10.1103/PhysRevLett.75.3584©1995 American Physical Society

10.1103/physrevlett.75.3584

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Citations (6)

Optical Conductivity of CMR Perovskite Oxides

APS March Meeting Abstracts (1998)

Jun Hu A. J. Millis

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Erratum: Effects of magnetic ordering on the anisotropy and temperature dependence of the optical conductivity inLaMnO3:A tight-binding approach [Phys. Rev. B61, 13 545 (2000)]

Physical review. B, Condensed matter (2001)

K. H. Ahn A. J. Millis

10.1103/physrevb.63.209902

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Nonconvergence of the t/U expansion in the metallic phase of the Hubbard model

Solid State Communications (1991)

A. J. Millis S. N. Coppersmith

Hamiltonian (control theory)

Canonical transformation

t-J model

10.1016/0038-1098(91)90007-i

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Citations (2)

Nearly antiferromagnetic Fermi liquids: An analytic Eliashberg approach

Physical review. B, Condensed matter (1992)

A. J. Millis

I study a model in which quasiparticles on a two-dimensional square lattice interact via exchange of antiferromagnetic spin fluctuations, determining when one may write the Eliashberg equations for the normal-state self-energy and for ${\mathit{T}}_{\mathit{c}}$. For parameters which have been argued to be appropriate for high-${\mathit{T}}_{\mathit{c}}$ superconductors, I find the mass enhancement and scattering rate to vary over the Fermi surface by a factor of the ratio of the antiferromagnetic correlations length \ensuremath{\xi} to the lattice constant. The pairing kernel is dominated by high-frequency spin fluctuations, and so ${\mathit{T}}_{\mathit{c}}$ in the BCS approximation is essentially independent of \ensuremath{\xi}, explaining previous numerical work. The analytic solution suggests normal-state self-energy effects may not lower ${\mathit{T}}_{\mathit{c}}$ as severely as in other models of d-wave superconductivity.

Square lattice

Lattice (music)

10.1103/physrevb.45.13047

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Citations (97)

Magnetic Properties of High Temperature Superconductors: a Spin Liquid Approach. Talk given at Stanford Spectroscopy Meeting, 1995.

arXiv (Cornell University) (1995)

L. B. Ioffe A. J. Millis

We argue that strongly correlated two dimensional electrons form a spin liquid in some regimes of density and temperature and give the theory of the magnetic properties of this spin liquid using the representation in terms of femions interacting with a gauge field. This state is characterized by anomalous power law spin correlations and discuss the implications of these correlations for the temperature dependence of NMR relaxation rates $1/T_1$ and $1/T_2$ and for the uniform susceptibility. We also discuss the transition from the spin liquid to antiferromagnet and the critical behavior of these properties at the transition. We compare these theoretical results with the data on high $T_c$ superconductors. Finally, we discuss the formation of the spin gap due to the spin exhange interaction between adjacent layers in bilayered materials.

10.48550/arxiv.cond-mat/9504008

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Hall magnetometry measurements of the susceptibility of variants of Mn$_{12}$-ac

Bulletin of the American Physical Society (2011)

Pradeep Subedi A. D. Kent Bo Wen M. P. Sarachik Y. Yeshurun

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Interplay of charge and orbital ordering in manganese perovskites

K. H. Ahn A. J. Millis

A model of localized classical electrons coupled to lattice degrees of freedom and, via the Coulomb interaction, to each other has been studied to gain insight into the charge and orbital ordering observed in lightly doped manganese perovskites. Expressions are obtained for the minimum energy and ionic displacements caused by given hole and electron orbital configurations. The expressions are analyzed for several hole configurations, including that experimentally observed by Yamada et al. [Phys. Rev. Lett. 77, 904 (1996)] in ${\mathrm{La}}_{7/8}{\mathrm{Sr}}_{1/8}{\mathrm{MnO}}_{3}.$ We find that, although the preferred charge and orbital ordering depend sensitively on parameters, there are ranges of the parameters in which the experimentally observed hole configuration has the lowest energy. For these parameter values we also find that the energy differences between different hole configurations are on the order of the observed charge ordering transition temperature. The effects of additional strains are also studied. Some results for ${\mathrm{La}}_{1/2}{\mathrm{Ca}}_{1/2}{\mathrm{MnO}}_{3}$ are presented, although our model may not adequately describe this material because the high-temperature phase is metallic.

Charge ordering

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