Journal
PHYSICAL REVIEW B
Volume 107, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.107.045110
Keywords
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Universal scaling relations for dissipative Tomonaga-Luttinger (TL) liquids with SU(N) spin symmetry are obtained for both fermions and bosons, by using asymptotic Bethe-ansatz solutions and conformal field theory (CFT) in one-dimensional non-Hermitian quantum many-body systems with SU(N) symmetry. We uncover that the spectrum of dissipative TL liquids with SU(N) spin symmetry is described by the sum of one charge mode characterized by a complex generalization of c = 1 U(1) Gaussian CFT, and N - 1 spin modes characterized by level-1 SU(N) Kac-Moody algebra with the conformal anomaly c = N - 1, and thereby dissipation only affects the charge mode as a result of spin-charge separation in one-dimensional non-Hermitian quantum systems. The derivation is based on a complex generalization of Haldane's ideal-gas description, which is implemented by the SU(N) Calogero-Sutherland model with inverse-square long-range interactions.
Universal scaling relations for dissipative Tomonaga-Luttinger (TL) liquids with SU(N) spin symmetry are obtained for both fermions and bosons, by using asymptotic Bethe-ansatz solutions and conformal field theory (CFT) in one-dimensional non-Hermitian quantum many-body systems with SU(N) symmetry. We uncover that the spectrum of dissipative TL liquids with SU(N) spin symmetry is described by the sum of one charge mode characterized by a complex generalization of c = 1 U(1) Gaussian CFT, and N - 1 spin modes characterized by level-1 SU(N) Kac-Moody algebra with the conformal anomaly c = N - 1, and thereby dissipation only affects the charge mode as a result of spin-charge separation in one-dimensional non-Hermitian quantum systems. The derivation is based on a complex generalization of Haldane's ideal-gas description, which is implemented by the SU(N) Calogero-Sutherland model with inverse-square long-range interactions.
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