First-order phase transition in easy-plane quantum antiferromagnets

Abstract

Quantum phase transitions in Mott insulators do not fit easily into the Landau-Ginzburg-Wilson paradigm. A recently proposed alternative to it is the so called deconfined quantum criticality scenario, providing a new paradigm for quantum phase transitions. In this context it has recently been proposed that a second-order phase transition would occur in a two-dimensional spin 1/2 quantum antiferromagnet in the deep easy-plane limit. A check of this conjecture is important for understanding the phase structure of Mott insulators. To this end we have performed large-scale Monte Carlo simulations on an effective gauge theory for this system, including a Berry phase term that projects out the $S=1/2$ sector. The result is a first-order phase transition, thus contradicting the conjecture.

4 pages, 4 figures. Stylistic changes, references added

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Cited by in corpus (45)

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• Gauge theory picture of an ordering transition in a dimer model
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• Continuous easy-plane deconfined phase transition on the kagome lattice
• Phase diagram of an extended classical dimer model
• Critical behavior of the QED${}_3$-Gross-Neveu model: Duality and deconfined criticality
• Valence-bond solids, vestigial order, and emergent SO(5) symmetry in a two-dimensional quantum magnet
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• Phase structure and phase transitions in a three dimensional SU(2) superconductor
• Quantum critical scaling behavior of deconfined spinons
• Large-N estimates of universal amplitudes of the CP^{N-1} theory and comparison with the JQ model
• New easy-plane ${\mathbb{CP}}^{N-1}$ fixed points
• Monte Carlo Study of a U(1)xU(1) system with π-statistical Interaction
• Compact quantum electrodynamics in 2+1 dimensions and spinon deconfinement: a renormalization group analysis
• Deconfined quantum criticality in spin-1/2 chains with long-range interactions
• First-order superfluid to valence bond solid phase transitions in easy-plane SU($N$) magnets for small-$N$
• Berry phases, current lattices, and suppression of phase transitions in a lattice gauge theory of quantum antiferromagnets
• Deconfined Quantum Criticality and Conformal Phase Transition in Two-Dimensional Antiferromagnets
• Slater and Mott insulating states in the SU(6) Hubbard model
• Spin correlations near the edge as probe of Dimer order in square-lattice Heisenberg models
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• First-order phase transition and tricritical point in multiband U(1) London superconductors
• First order phase transitions in the square lattice "easy-plane" J-Q model
• Lattice realization of a bosonic integer quantum Hall state - trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model
• Deconfined criticality and bosonization duality in easy-plane Chern-Simons two-dimensional antiferromagnets
• Frozen deconfined quantum criticality
• An Abelian two-Higgs model of strongly correlated electrons: phase structure, strengthening of phase transition and QCD at finite density
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• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• Freezing of an unconventional two-dimensional plasma
• Current-loops, phase transitions, and the Higgs mechanism in Josephson-coupled multi-component superconductors
• Bosonization duality in 2+1 dimensions and critical current correlation functions in Chern-Simons $U(1)\times U(1)$ Abelian Higgs model
• Phase structure of $Z_2$ gauge theories for frustrated antiferromagnets in two dimensions
• Bandwidth controlled quantum phase transition between an easy-plane quantum spin Hall state and an s-wave superconductor
• Quantum critical scaling of altermagnetism
• Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality
• Topology-driven deconfined quantum criticality in magnetic bilayers
• Quantum critical phenomena of unconventional superconductors: U(1) gauge model of link Cooper pair
• The two dimensional Antiferromagnetic Heisenberg model with next nearest neighbour Ising exchange
• Quantum criticality and confinement in weak Mott insulators