TY - JOUR
T1 - Phase structure of neutron P2 3 superfluids in strong magnetic fields in neutron stars
AU - Yasui, Shigehiro
AU - Chatterjee, Chandrasekhar
AU - Nitta, Muneto
N1 - Funding Information:
We would like to thank Motoi Tachibana for discussions. We would like to thank Yusuke Masaki for important comments. This work is supported by the Ministry of Education, Culture, Sports, Science (MEXT)-Supported Program for the Strategic Research Foundation at Private Universities “Topological Science” (Grant No. S1511006). C.C. acknowledges support as an International Research Fellow of the Japan Society for the Promotion of Science (JSPS) (Grant No. 16F16322). This work is also supported in part by JSPS Grant-in-Aid for Scientific Research [KAKENHI Grants No. 16H03984 (M.N.), No. 18H01217 (M.N.), and No. 17K05435 (S.Y.)], and also by MEXT KAKENHI Grant-in-Aid for Scientific Research on Innovative Areas “Topological Materials Science” Grant No. 15H05855 (M.N.).
Publisher Copyright:
© 2019 American Physical Society. ©2019 American Physical Society.
PY - 2019/3/27
Y1 - 2019/3/27
N2 - We discuss the effect of a strong magnetic field on neutron P23 superfluidity. Based on the attraction in the P23 pair of two neutrons, we derive the Ginzburg-Landau equation in the path-integral formalism by adopting the bosonization technique and leave the next-to-leading order in the expansion of the magnetic field B. We determine the (T,B) phase diagram with temperature T, comprising three phases: the uniaxial nematic (UN) phase for B=0, D2-biaxial nematic (BN) and D4-BN phases in finite B and strong B such as magnetars, respectively, where D2 and D4 are dihedral groups. We find that, compared with the leading order in the magnetic field known before, the region of the D2-BN phase in the (T,B) plane is extended by the effect of the next-to-leading-order terms of the magnetic field. We also present the thermodynamic properties, such as heat capacities and spin susceptibility, and find that the spin susceptibility exhibits anisotropies in the UN, D2-BN, and D4-BN phases. This information will be useful to understand the internal structure of magnetars.
AB - We discuss the effect of a strong magnetic field on neutron P23 superfluidity. Based on the attraction in the P23 pair of two neutrons, we derive the Ginzburg-Landau equation in the path-integral formalism by adopting the bosonization technique and leave the next-to-leading order in the expansion of the magnetic field B. We determine the (T,B) phase diagram with temperature T, comprising three phases: the uniaxial nematic (UN) phase for B=0, D2-biaxial nematic (BN) and D4-BN phases in finite B and strong B such as magnetars, respectively, where D2 and D4 are dihedral groups. We find that, compared with the leading order in the magnetic field known before, the region of the D2-BN phase in the (T,B) plane is extended by the effect of the next-to-leading-order terms of the magnetic field. We also present the thermodynamic properties, such as heat capacities and spin susceptibility, and find that the spin susceptibility exhibits anisotropies in the UN, D2-BN, and D4-BN phases. This information will be useful to understand the internal structure of magnetars.
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U2 - 10.1103/PhysRevC.99.035213
DO - 10.1103/PhysRevC.99.035213
M3 - Article
AN - SCOPUS:85064077234
SN - 2469-9985
VL - 99
JO - Physical Review C
JF - Physical Review C
IS - 3
M1 - 035213
ER -