Berezinskii-Kosterlitz-Thouless transitions in a ferromagnetic superfluid: effects of axial magnetization (2404.03178v1)
Abstract: An easy-plane ferromagnetic spin-1 Bose gas undergoes two Berezinskii-Kosterlitz-Thouless (BKT) transitions, associated with mass and spin superfluidity respectively. We study the effect of axial magnetization on the superfluid properties of this system. We find that nonzero axial magnetization couples mass and spin superflow, via a mechanism analogous to the Andreev-Bashkin effect present in two-component superfluids. With sufficiently large axial magnetization mass and spin superfluidity arise simultaneously. The cross-over to this phase provides a finite-temperature generalization of the zero-temperature broken-axisymmetric to easy-axis transition. We present analytic relations connecting mass and spin superfluidity with experimentally observable coherence of the three spinor components and local magnetization.
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- We determine the presence of algebraic decay in each of the correlation functions (14) by computing a quadratic fit ln[Gνfit(r)]=aνln2(r)+bνln(r)+cνsuperscriptsubscript𝐺𝜈fit𝑟subscript𝑎𝜈superscript2𝑟subscript𝑏𝜈𝑟subscript𝑐𝜈\ln\left[G_{\nu}^{\text{fit}}(r)\right]=a_{\nu}\ln^{2}(r)+b_{\nu}\ln(r)+c_{\nu}roman_ln [ italic_G start_POSTSUBSCRIPT italic_ν end_POSTSUBSCRIPT start_POSTSUPERSCRIPT fit end_POSTSUPERSCRIPT ( italic_r ) ] = italic_a start_POSTSUBSCRIPT italic_ν end_POSTSUBSCRIPT roman_ln start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT ( italic_r ) + italic_b start_POSTSUBSCRIPT italic_ν end_POSTSUBSCRIPT roman_ln ( start_ARG italic_r end_ARG ) + italic_c start_POSTSUBSCRIPT italic_ν end_POSTSUBSCRIPT over the range 10Δx<r<0.2L10Δ𝑥𝑟0.2𝐿10\Delta x<r<0.2L10 roman_Δ italic_x < italic_r < 0.2 italic_L at each temperature. If at some point |aν|<0.05subscript𝑎𝜈0.05|a_{\nu}|<0.05| italic_a start_POSTSUBSCRIPT italic_ν end_POSTSUBSCRIPT | < 0.05 we consider the correlations to exhibit algebraic decay. To extract the associated decay exponent ηνsubscript𝜂𝜈\eta_{\nu}italic_η start_POSTSUBSCRIPT italic_ν end_POSTSUBSCRIPT, we compute a linear fit ln[Gνfit(r)]=−ηνln(r)+cνsuperscriptsubscript𝐺𝜈fit𝑟subscript𝜂𝜈𝑟subscript𝑐𝜈\ln\left[G_{\nu}^{\text{fit}}(r)\right]=-\eta_{\nu}\ln(r)+c_{\nu}roman_ln [ italic_G start_POSTSUBSCRIPT italic_ν end_POSTSUBSCRIPT start_POSTSUPERSCRIPT fit end_POSTSUPERSCRIPT ( italic_r ) ] = - italic_η start_POSTSUBSCRIPT italic_ν end_POSTSUBSCRIPT roman_ln ( start_ARG italic_r end_ARG ) + italic_c start_POSTSUBSCRIPT italic_ν end_POSTSUBSCRIPT over the same range.
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