Special temperatures in frustrated ferromagnets

Abstract

The description and detection of unconventional magnetic states such as spin liquids is a recurring topic in condensed matter physics. While much of the efforts have traditionally been directed at geometrically frustrated antiferromagnets, recent studies reveal that systems featuring competing antiferromagnetic and ferromagnetic interactions are also promising candidate materials. We find that this competition leads to the notion of special temperatures, analogous to those of gases, at which the competing interactions balance, and the system is quasi-ideal. Although induced by weak perturbing interactions, these special temperatures are surprisingly high and constitute an accessible experimental diagnostic of eventual order or spin liquid properties. The well characterised Hamiltonian and extended low-temperature susceptibility measurement of the canonical frustrated ferromagnet Dy${}_2$Ti${}_2$O${}_7$ enables us to formulate both a phenomenological and microscopic theory of special temperatures for magnets. Other members of this new class of magnets include kapellasite Cu${}_3$Zn(OH)${}_6$Cl${}_2$ and the spinel GeCo${}_2$O${}_4$.

11 pages, 8 figures

References in corpus (5)

• Physical realization of a quantum spin liquid based on a novel frustration mechanism
• Dy2Ti2O7 Spin Ice: a Test Case for Emergent Clusters in a Frustrated Magnet
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Microscopic Aspects of Magnetic Lattice Demagnetizing Factors
• Weak ferromagnetism and glassy state in kappa-(BEDT-TTF)2Hg(SCN)2Br

Cited by in corpus (15)

• Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
• Machine Learning Assisted Insight to Spin Ice Dy${}_2$Ti${}_2$O${}_7$
• Pauling entropy, metastability and equilibrium in Dy${}_2$Ti${}_2$O${}_7$ spin ice
• Curie-law crossover in spin liquids
• LiHoF${}_4$: Cuboidal Demagnetizing Factor in an Ising Ferromagnet
• Effects of uniaxial pressure on the spin ice Ho2Ti2O7
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Screening and the Pinch Point Paradox in Spin Ice
• Understanding the magnetic response of the Quantum spin liquid compound 1T-TaS2
• Experimental Measures of Topological Sector Fluctuations in the F-Model
• Characteristic temperatures of a triplon system of dimerized quantum magnets
• Field induced single molecule magnet behavior in Dy-based coordination polymer
• Crossover from string to cluster dynamics following a field quench in spin ice
• Magnetic monopole relaxation effects in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Low-temperature high-frequency dynamic magnetic susceptibility of classical spin-ice Dy${}_2$Ti${}_2$O${}_7$