<p>A novel <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(H_{\textrm{c2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mtext>c2</mtext> </msub> </math></EquationSource> </InlineEquation> suppression mechanism is theoretically proposed in a spin-triplet superconductor (SC) with equal spin pairs. We show that the upper critical field <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(H_{\textrm{c2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mtext>c2</mtext> </msub> </math></EquationSource> </InlineEquation> can be reduced from the orbital depairing limit <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(H^{\textrm{orb}}_{\textrm{c2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>H</mi> <mtext>c2</mtext> <mtext>orb</mtext> </msubsup> </math></EquationSource> </InlineEquation> to arbitrarily small value, keeping the second-order phase transition nature. This mechanism is sharply different from the known Pauli–Clogston limit for a spin-singlet SC where the reduction is limited to <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\sim\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>∼</mo> </math></EquationSource> </InlineEquation>0.3<InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(H^{\textrm{orb}}_{\textrm{c2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>H</mi> <mtext>c2</mtext> <mtext>orb</mtext> </msubsup> </math></EquationSource> </InlineEquation> with the first-order transition when the Maki parameter goes infinity. This novel <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(H_{\textrm{c2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mtext>c2</mtext> </msub> </math></EquationSource> </InlineEquation> suppression mechanism is applied to <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\hbox {UTe}_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>UTe</mtext> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>, which is a prime candidate for a spin-triplet SC, to successfully analyze the <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(H_{\textrm{c2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mtext>c2</mtext> </msub> </math></EquationSource> </InlineEquation> data for various crystalline orientations both under ambient and applied pressure, and to identify the pairing symmetry. It is concluded that the non-unitary spin-triplet state with equal spin pairs is realized in <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\hbox {UTe}_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>UTe</mtext> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>, namely <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(({\hat{b}}+i{\hat{c}})k_a\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mrow> <mo stretchy="false">(</mo> <mover accent="true"> <mi>b</mi> <mo stretchy="false">^</mo> </mover> <mo>+</mo> <mi>i</mi> <mover accent="true"> <mi>c</mi> <mo stretchy="false">^</mo> </mover> <mo stretchy="false">)</mo> </mrow> <msub> <mi>k</mi> <mi>a</mi> </msub> </mrow> </math></EquationSource> </InlineEquation> in <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(^3\hbox {B}_{\textrm{3u}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mn>3</mn> </mmultiscripts> <msub> <mtext>B</mtext> <mtext>3u</mtext> </msub> </mrow> </math></EquationSource> </InlineEquation> which is classified under finite spin–orbit coupling scheme.</p>

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Novel \(H_{\textrm{c2}}\) Suppression Mechanism in a Spin-Triplet Superconductor: Application to \(\hbox {UTe}_2\)

  • Kazushige Machida

摘要

A novel \(H_{\textrm{c2}}\) H c2 suppression mechanism is theoretically proposed in a spin-triplet superconductor (SC) with equal spin pairs. We show that the upper critical field \(H_{\textrm{c2}}\) H c2 can be reduced from the orbital depairing limit \(H^{\textrm{orb}}_{\textrm{c2}}\) H c2 orb to arbitrarily small value, keeping the second-order phase transition nature. This mechanism is sharply different from the known Pauli–Clogston limit for a spin-singlet SC where the reduction is limited to \(\sim\) 0.3 \(H^{\textrm{orb}}_{\textrm{c2}}\) H c2 orb with the first-order transition when the Maki parameter goes infinity. This novel \(H_{\textrm{c2}}\) H c2 suppression mechanism is applied to \(\hbox {UTe}_2\) UTe 2 , which is a prime candidate for a spin-triplet SC, to successfully analyze the \(H_{\textrm{c2}}\) H c2 data for various crystalline orientations both under ambient and applied pressure, and to identify the pairing symmetry. It is concluded that the non-unitary spin-triplet state with equal spin pairs is realized in \(\hbox {UTe}_2\) UTe 2 , namely \(({\hat{b}}+i{\hat{c}})k_a\) ( b ^ + i c ^ ) k a in \(^3\hbox {B}_{\textrm{3u}}\) 3 B 3u which is classified under finite spin–orbit coupling scheme.