Application of Differential Geometry on Extraordinary Magnetoresistance

ORAL

Abstract

Traditionally, the extraordinary magnetoresistance (EMR) is conducted on a circular symmetric device where a circular conductor embeds at the center of a semiconductor wafer with magnetic field on the direction of central axis, and researchers have been trying to optimize EMR with different geometry and dynamic magnetic field. It was shown that the duality between EMR and gravity theory can be used to construct a four dimensional action and compute the general field equations which provides a novel way to investigate the EMR shape optimization of different geometries and magnetic field configurations. From the general action, the specific field equations are derived in this paper for both ordinary and spherically symmetric EMR devices when tangential and perpendicular magnetic fields are applied respectively.

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Authors

  • ZHENZHONG XING

    Grinnell College

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU