Self-duality protected multicriticality in deconfined quantum phase transitions

Lu, Da-Chuan; Xu, Cenke; You, Yi-Zhuang

doi:10.1103/physrevb.104.205142

Cited by 18 publications

(19 citation statements)

References 43 publications

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“…The DQCP has long been associated with unconventional phenomena including fractional spinon excitations and deconfined gauge fluctuations [3][4][5], and further intensive investigation of the DQCP scenario has introduced emergent symmetries [6][7][8][9][10] and exotic firstorder transitions [11,12]. In a very recent scenario, the DQCP is multi-critical [13,14] and generically connected to a gapless quantum spin liquid (QSL) [15][16][17][18][19].…”

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confidence: 99%

“…The 2D S = 1/2 Heisenberg model with uniform frustrated interactions on square-lattice offers a more frequently studied close analogy to the SSM, though hosting a four-fold degenerate dimerized phase in place of the two-fold degenerate PS phase of the SSM. A QSL phase exists in an extended parameter space between the dimerized and AFM phases [15,19,[38][39][40] and terminates at a DQCP with emergent SO(5) symmetry [14,16,17]. Beyond the DQCP, the direct PS-AFM transition is expected to be first-order, with the coexistence state inheriting (and breaking) the emergent symmetry of the DQCP [7][8][9]14].…”

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confidence: 99%

“…A QSL phase exists in an extended parameter space between the dimerized and AFM phases [15,19,[38][39][40] and terminates at a DQCP with emergent SO(5) symmetry [14,16,17]. Beyond the DQCP, the direct PS-AFM transition is expected to be first-order, with the coexistence state inheriting (and breaking) the emergent symmetry of the DQCP [7][8][9]14].…”

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confidence: 99%

“…Early calculations indicated a first-order PS-AFM transition in the SSM [26], but in more recent work a DQCP with emergent O(4) symmetry [from the O(3) AFM and scalar PS order parameters] was proposed [36]. Other works argued that interactions beyond the SSM are required for reaching the DQCP [10] and that the SSM as well hosts a gapless QSL between the PS and AFM phases [14,16,18].…”

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confidence: 99%

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Deconfined quantum criticality and emergent symmetry in SrCu2(BO3)2

Cui¹,

Liu²,

Lin³

et al. 2022

Preprint

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The deconfined quantum critical point (DQCP) represents a paradigm shift in theories of quantum matter, presenting a "beyond Landau" scenario for order-order transitions. Its experimental realization, however, has remained elusive. Here we demonstrate by high-pressure 11 B NMR measurements on the quantum magnet SrCu2(BO3)2 that the magnetic field induced plaquette-singlet to antiferromagnetic transition above 1.8 GPa is proximate to a DQCP. We find a weak first-order transition between the two phases at a remarkably low temperature, Tc 0.07 K. Above Tc we observe quantum critical scaling at the highest pressure, 2.4 GPa. We explain the low first-order Tc values by a DQCP-induced emergent O(3) symmetry that is broken in the coexistence state. Our findings take the DQCP from a theoretical concept to a concrete experimental platform.

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confidence: 99%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Deconfined quantum criticality and emergent symmetry in SrCu2(BO3)2

Cui¹,

Liu²,

Lin³

et al. 2022

Preprint

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“…When a duality becomes a symmetry (i.e., the system is self-dual ), the self-duality must force the system to stay on the phase boundary between the two duality-related phases, often leading to criticality or multicriticality [18][19][20][21]. A prominent example is the quantum transverse field Ising chain H Ising = − j (σ z j σ z j+1 + hσ x j ), in which the Kramers-Wannier duality [22,23] exchanges the symmetric phase and the Z 2 SSB phase.…”

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confidence: 99%

Duality, Criticality, Anomaly, and Topology in Quantum Spin-1 Chains

Ye¹,

Li²,

Okunishi³

et al. 2022

Preprint

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In quantum spin-1 chains, there is a nonlocal unitary transformation, known as the Kennedy-Tasaki transformation UKT, that defines a duality between the Haldane phase and the Z2 × Z2 symmetry-breaking phase. In this paper, we find that UKT also defines a duality between a topological Ising critical phase and a trivial Ising critical phase, which provides a "hidden symmetry breaking" interpretation for the topological criticality. Moreover, since the duality relates different phases of matter, we argue that a model with self-duality (i.e., invariant under UKT) is natural to be at a critical or multicritical point. We study concrete examples to demonstrate this argument. In particular, when H is the Hamiltonian of the spin-1 antiferromagnetic Heisenberg chain, we prove that the self-dual model H + UKTHUKT is exactly equivalent to a gapless spin-1/2 XY chain, which also implies an emergent quantum anomaly. On the other hand, we show that the topological and trivial Ising criticalities that are dual to each other meet at a multicritical point which is indeed self-dual. Our discussions can be generalized to other symmetries beyond the spin-1 chains.

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Competing orders, the Wess-Zumino-Witten term, and spin liquids

Huang

Lee

2023

Nuclear Physics B

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Self-duality protected multicriticality in deconfined quantum phase transitions

Cited by 18 publications

References 43 publications

Deconfined quantum criticality and emergent symmetry in SrCu2(BO3)2

Deconfined quantum criticality and emergent symmetry in SrCu2(BO3)2

Duality, Criticality, Anomaly, and Topology in Quantum Spin-1 Chains

Competing orders, the Wess-Zumino-Witten term, and spin liquids

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