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The phase transition between the valence-bond-solid (VBS) and nematic phases, the so-called deconfined criticality, was investigated for the quantum S=1-spin model on the spatially anisotropic triangular lattice with the biquadratic…

Statistical Mechanics · Physics 2015-06-11 Yoshihiro Nishiyama

In this article, we study quantum critical phenomena in surfaces of symmetry-protected topological matter, i.e. surface topological quantum criticality. A generic phase boundary of gapless surfaces in a symmetry-protected state shall be a…

Strongly Correlated Electrons · Physics 2025-05-06 Saran Vijayan , Fei Zhou

Dynamical mean field theory is used to study the quantum critical point (QCP) in the doped Hubbard model on a square lattice. The QCP is characterized by a universal scaling form of the self energy and a spin density wave instability at an…

Strongly Correlated Electrons · Physics 2017-04-05 Wenhu Xu , Gabriel Kotliar , Alexei M. Tsvelik

Using large-scale quantum Monte Carlo simulations we study bosons hopping on a triangular lattice with nearest (V) and next-nearest (V') neighbor repulsive interactions. In the limit where V=0 but V' is large, we find an example of an…

Strongly Correlated Electrons · Physics 2009-11-11 R. G. Melko , A. Del Maestro , A. A. Burkov

It has recently been discovered that random quantum circuits provide an avenue to realize rich entanglement phase diagrams, which are hidden to standard expectation values of operators. Here we study (2+1)D random circuits with random…

Statistical Mechanics · Physics 2021-12-03 Ali Lavasani , Yahya Alavirad , Maissam Barkeshli

The paradigmatic example of deconfined quantum criticality is the Neel-VBS phase transition. The continuum description of this transition is the $N=2$ case of the $CP^{N-1}$ model, which is a field theory of $N$ complex scalars in 3d…

High Energy Physics - Theory · Physics 2024-05-06 Shai M. Chester , Ning Su

Berry phase interference arguments that underlie the theory of deconfined quantum criticality (DQC) for spin-$\frac{1}{2}$ antiferromagnets have also been invoked to allow for continuous transitions in spin-1 magnets including a N\'eel to…

Strongly Correlated Electrons · Physics 2026-01-30 Vikas Vijigiri , Sumiran Pujari , Nisheeta Desai

The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions by means of the numerical diagonalization method. It is…

Statistical Mechanics · Physics 2015-06-24 Yoshihiro Nishiyama

The deconfined quantum critical point (DQCP) is an example of phase transitions beyond the Landau symmetry breaking paradigm that attracts wide interest. However, its nature has not been settled after decades of study. In this paper, we…

Strongly Correlated Electrons · Physics 2025-07-18 Zheng Zhou , Liangdong Hu , W. Zhu , Yin-Chen He

Quantum critical points (QCPs) emerge when a 2nd order phase transition is suppressed to zero temperature. In metals the quantum fluctuations at such a QCP can give rise to new phases including unconventional superconductivity. Whereas…

Ambiguities regarding the physics and the existence of the critical point (CP) on the QCD phase boundary still exist and the mist regarding the conjectured QCD phase boundary has not yet cleared. In this paper we extend our earlier study…

High Energy Physics - Phenomenology · Physics 2012-01-04 P. K. Srivastava , C. P. Singh

We describe the phase diagram of electrons on a fully connected lattice with random hopping, subject to a random Heisenberg spin exchange interactions between any pair of sites and a constraint of no double occupancy. A perturbative…

Strongly Correlated Electrons · Physics 2020-05-20 Darshan G. Joshi , Chenyuan Li , Grigory Tarnopolsky , Antoine Georges , Subir Sachdev

The global center symmetry of quenched QCD at zero baryonic chemical potential is broken spontaneously at a critical temperature $T_c$ leading to a first-order phase transition. Including heavy dynamical quarks breaks the center symmetry…

High Energy Physics - Lattice · Physics 2023-08-08 Reinhold Kaiser , Owe Philipsen

We construct a broad class of frustration-free quantum vertex models in 3+1D whose ground states are weighted superpositions of classical 3D vertex model configurations. Our results are illustrated for diamond, cubic, and BCC lattices, but…

Strongly Correlated Electrons · Physics 2024-11-22 Shankar Balasubramanian , Daniel Bulmash , Victor Galitski , Ashvin Vishwanath

We show an $\rm O(4)$ symmetry emerges at a deconfined quantum tricritical point of a valence bond solid and two ferromagnetic phases in an $S = 1/2$ frustrated spin chain by combining analytical analysis and numerical calculations with the…

Strongly Correlated Electrons · Physics 2022-07-13 Ning Xi , Rong Yu

We consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that…

Strongly Correlated Electrons · Physics 2024-07-03 Maine Christos , Henry Shackleton , Subir Sachdev , Zhu-Xi Luo

We investigate the possibility of exotic phenomena, viz. quantum spin liquid (QSL) or deconfined quantum critical point (DQCP), in the spin-$\frac{1}{2}$ Heisenberg model on the maple-leaf lattice, a geometrically frustrated system formed…

Strongly Correlated Electrons · Physics 2024-01-18 Pratyay Ghosh

We study the edge physics of the deconfined quantum phase transition (DQCP) between a spontaneous quantum spin Hall (QSH) insulator and a spin-singlet superconductor (SC). Although the bulk of this transition is in the same universality…

Strongly Correlated Electrons · Physics 2022-06-20 Ruochen Ma , Liujun Zou , Chong Wang

Deconfined quantum criticality describes continuous phase transitions that are not captured by the Landau-Ginzburg paradigm. Here, we investigate deconfined quantum critical points in the long-range, anisotropic Heisenberg chain. With…

Strongly Correlated Electrons · Physics 2026-05-26 Anton Romen , Stefan Birnkammer , Michael Knap

A canonical ensemble algorithm is employed to study the phase diagram of $N_f = 3$ QCD using lattice simulations. We lock in the desired quark number sector using an exact Fourier transform of the fermion determinant. We scan the phase…

High Energy Physics - Phenomenology · Physics 2011-12-01 Anyi Li , Andrei Alexandru , Keh-Fei Liu
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