Simple Model for T<sub><i>c</i></sub> and Pairing Symmetry Changes in Sr<sub>2</sub>RuO<sub>4</sub> Under (100) Uniaxial Strain

Uniaxial strain in the (100) direction has the effect of increasing the superconducting <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="normal">T</mi><mi>c</...

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Main Authors: Macauley Curtis, Martin Gradhand, James F. Annett
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Condensed Matter
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Online Access:https://www.mdpi.com/2410-3896/9/4/44
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Summary:Uniaxial strain in the (100) direction has the effect of increasing the superconducting <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="normal">T</mi><mi>c</mi></msub></semantics></math></inline-formula> in Sr<sub>2</sub>RuO<sub>4</sub> from <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.5</mn></mrow></semantics></math></inline-formula> K to over 3 K. The enhanced <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>T</mi><mi>c</mi></msub></semantics></math></inline-formula> corresponds to a Lifshitz transition in the Fermi surface topology of this unconventional superconductor. We model this using a simple two-dimensional one-band model for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> sheet of the Fermi surface. This reproduces the experimental <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>T</mi><mi>c</mi></msub></semantics></math></inline-formula> results well if we assume a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>d</mi><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><msup><mi>y</mi><mn>2</mn></msup></mrow></msub></semantics></math></inline-formula> singlet pairing state. On the other hand, the triplet state <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>p</mi><mi>x</mi></msub><mo>+</mo><mi>i</mi><msub><mi>p</mi><mi>y</mi></msub></mrow></semantics></math></inline-formula> does not show any distinct peaks in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="normal">T</mi><mi>c</mi></msub></semantics></math></inline-formula> associated with the Lifshitz transition. A mixed symmetry state pairing of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mo>+</mo><mi>i</mi><mi>g</mi></mrow></semantics></math></inline-formula> can both describe the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>T</mi><mi>c</mi></msub></semantics></math></inline-formula> changes and show a distinct transition temperature for time-reversal symmetry breaking (TRSB).
ISSN:2410-3896