The conformal bootstrap: Theory, numerical techniques, and applications

D Poland, S Rychkov, A Vichi - Reviews of Modern Physics, 2019 - APS
Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

Functional renormalization group approach to correlated fermion systems

W Metzner, M Salmhofer, C Honerkamp, V Meden… - Reviews of Modern …, 2012 - APS
Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon
lowering the energy scale, collective phenomena, bound states, and new effective degrees …

Quantum phase transitions

S Sachdev - Physics world, 1999 - iopscience.iop.org
NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

Bootstrap** deconfined quantum tricriticality

SM Chester, N Su - Physical Review Letters, 2024 - APS
The paradigmatic example of deconfined quantum criticality is the Neel to valence bond
solid phase transition. The continuum description of this transition is the N= 2 case of the …

Quantum criticality with two length scales

H Shao, W Guo, AW Sandvik - Science, 2016 - science.org
The theory of deconfined quantum critical (DQC) points describes phase transitions at
absolute temperature T= 0 outside the standard paradigm, predicting continuous …

Deconfined quantum criticality, scaling violations, and classical loop models

A Nahum, JT Chalker, P Serna, M Ortuño, AM Somoza - Physical Review X, 2015 - APS
Numerical studies of the transition between Néel and valence bond solid phases in two-
dimensional quantum antiferromagnets give strong evidence for the remarkable scenario of …

Properties of an algebraic spin liquid on the kagome lattice

M Hermele, Y Ran, PA Lee, XG Wen - Physical Review B—Condensed Matter …, 2008 - APS
In recent work, we argued that a particular algebraic spin liquid (ASL) may be the ground
state of the S= 1/2 kagome lattice Heisenberg antiferromagnet. Furthermore, this state, which …

Deconfined quantum criticality lost

M Song, J Zhao, M Cheng, C Xu, MM Scherer… - arxiv preprint arxiv …, 2023 - arxiv.org
Over the past two decades, the enigma of the deconfined quantum critical point (DQCP) has
attracted broad attention across the condensed matter, quantum field theory, and high …

Magnetic and non-magnetic phases of a quantum spin liquid

FL Pratt, PJ Baker, SJ Blundell, T Lancaster… - Nature, 2011 - nature.com
A quantum spin-liquid phase is an intriguing possibility for a system of strongly interacting
magnetic units in which the usual magnetically ordered ground state is avoided owing to …

Emergent SO (5) symmetry at the Néel to valence-bond-solid transition

A Nahum, P Serna, JT Chalker, M Ortuño, AM Somoza - Physical review letters, 2015 - APS
We show numerically that the “deconfined” quantum critical point between the Néel
antiferromagnet and the columnar valence-bond solid, for a square lattice of spin 1/2, has an …