Controlling Luttinger liquid physics in spin ladders under a magnetic field

Abstract

We present a 14N nuclear magnetic resonance study of a single crystal of CuBr4(C5H12N)2 (BPCB) consisting of weakly coupled spin-1/2 Heisenberg antiferromagnetic ladders. Treating ladders in the gapless phase as Luttinger liquids, we are able to fully account for (i) the magnetic field dependence of the nuclear spin-lattice relaxation rate 1/T_1 at 250 mK and for (ii) the phase transition to a 3D ordered phase occuring below 110 mK due to weak interladder exchange coupling. BPCB is thus an excellent model system where the possibility to control Luttinger liquid parameters in a continuous manner is demonstrated and Luttinger liquid model tested in detail over the whole fermion band.

4 pages, 3 figures, introduction and conclusion rewritten, published version

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Exact expectation values of local fields in quantum sine-Gordon model
• Coupled Ladders in a Magnetic Field
• Quantum criticality and universal scaling of a quantum antiferromagnet
• Magnetic Field-Induced Condensation of Triplons in Han Purple Pigment BaCuSi${}_2$O${}_6$
• Critical Properties of gapped spin-1/2 chains and ladders in a magnetic field
• On-chain electrodynamics of metallic (TMTSF)_2 X salts: Observation of Tomonaga-Luttinger liquid response
• Ladders in a magnetic field: a strong coupling approach
• The Magnetic Spin Ladder (C_{5}H_{12}N)_{2}CuBr_{4}: High Field Magnetization and Scaling Near Quantum Criticality
• Zero Temperature Phase Transition in Spin-ladders: Phase Diagram and Dynamical studies of Cu(Hp)Cl
• Strong Coupling Expansions for Antiferromagnetic Heisenberg S=1/2 Ladders
• Universal scaling at field-induced magnetic phase transitions
• Spin correlations in the two-leg antiferromagnetic ladder in a magnetic field
• Diverging thermal expansion of the spin-ladder system (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$
• Spin-spin correlations of the spin-ladder compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$ measured by magnetostriction and comparison to Quantum Monte Carlo results
• Field Induced Staggered Magnetization and Magnetic Ordering in $C{u}_2(C_5{H}_{12}{N}_2{)}_{2}C{l}_4$

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