Asymmetric spin wave dispersion due to a saturation magnetization gradient
We demonstrate using micromagnetic simulations and a theoretical model that a gradient in the saturation magnetization (\(M_s\)) of a perpendicularly magnetized ferromagnetic film induces a non-reciprocal spin wave propagation and, consequently an asymmetric dispersion relation. The \(M_s\) gradient...
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| creator | Borys, Pablo Kolokoltsev, Oleg Qureshi, Naser Plumer, Martin L Monchesky, Theodore L |
| description | We demonstrate using micromagnetic simulations and a theoretical model that a gradient in the saturation magnetization (\(M_s\)) of a perpendicularly magnetized ferromagnetic film induces a non-reciprocal spin wave propagation and, consequently an asymmetric dispersion relation. The \(M_s\) gradient adds a linear potential to the spin wave equation of motion consistent with the presence of a force. We consider a transformation from an inertial reference frame in which the \(M_s\) is constant to an accelerated reference frame where the resulting inertial force corresponds to the force from the \(M_s\) gradient. As in the Doppler effect, the frequency shift leads to an asymmetric dispersion relation. Additionally, we show that under certain circumstances, unidirectional propagation of spin waves can be achieved which is essential for the design of magnonic circuits. Our results become more relevant in light of recent experimental works in which a suitable thermal landscape is used to dynamically modulate the saturation magnetization. |
| doi_str_mv | 10.48550/arxiv.2011.11148 |
| format | Article |
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The \(M_s\) gradient adds a linear potential to the spin wave equation of motion consistent with the presence of a force. We consider a transformation from an inertial reference frame in which the \(M_s\) is constant to an accelerated reference frame where the resulting inertial force corresponds to the force from the \(M_s\) gradient. As in the Doppler effect, the frequency shift leads to an asymmetric dispersion relation. Additionally, we show that under certain circumstances, unidirectional propagation of spin waves can be achieved which is essential for the design of magnonic circuits. 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The \(M_s\) gradient adds a linear potential to the spin wave equation of motion consistent with the presence of a force. We consider a transformation from an inertial reference frame in which the \(M_s\) is constant to an accelerated reference frame where the resulting inertial force corresponds to the force from the \(M_s\) gradient. As in the Doppler effect, the frequency shift leads to an asymmetric dispersion relation. Additionally, we show that under certain circumstances, unidirectional propagation of spin waves can be achieved which is essential for the design of magnonic circuits. Our results become more relevant in light of recent experimental works in which a suitable thermal landscape is used to dynamically modulate the saturation magnetization.</description><subject>Asymmetry</subject><subject>Circuit design</subject><subject>Doppler effect</subject><subject>Equations of motion</subject><subject>Ferromagnetic materials</subject><subject>Frequency shift</subject><subject>Inertial reference systems</subject><subject>Magnetic saturation</subject><subject>Magnetization</subject><subject>Magnons</subject><subject>Physics - Other Condensed Matter</subject><subject>Wave dispersion</subject><subject>Wave equations</subject><subject>Wave propagation</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj0tLAzEUhYMgWGp_gCsDrmfMO5llKT4puOl-CJObkuI8TDLV-uuddlxdzuXjcD6E7igphZGSPNr4E44lI5SWlFJhrtCCcU4LIxi7QauUDoQQpjSTki_Q-zqd2hZyDA1OQ-jwtz0CdiENEFPoO-xGwLnHFiebx2jz-dfafQc5_M5pH60L0OVbdO3tZ4LV_12i3fPTbvNabD9e3jbrbWElqwpnqNAA2nrrtAbdgBLEe0-UMJWmnBtQUvnGazphFISYgiOVcVI2njG-RPdz7UW0HmJobTzVZ-H6IjwRDzMxxP5rhJTrQz_GbtpUM6G4oaoyFf8DyJFZtQ</recordid><startdate>20201129</startdate><enddate>20201129</enddate><creator>Borys, Pablo</creator><creator>Kolokoltsev, Oleg</creator><creator>Qureshi, Naser</creator><creator>Plumer, Martin L</creator><creator>Monchesky, Theodore L</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20201129</creationdate><title>Asymmetric spin wave dispersion due to a saturation magnetization gradient</title><author>Borys, Pablo ; 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| subjects | Asymmetry Circuit design Doppler effect Equations of motion Ferromagnetic materials Frequency shift Inertial reference systems Magnetic saturation Magnetization Magnons Physics - Other Condensed Matter Wave dispersion Wave equations Wave propagation |
| title | Asymmetric spin wave dispersion due to a saturation magnetization gradient |
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