# Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals.

07:00 EST 20th December 2019 | BioPortfolio

### Summary of "Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals."

As is well known, crystals have discrete space translational symmetry. It was recently noticed that one-dimensional crystals possibly have discrete Poincar\'{e} symmetry, which contains discrete Lorentz and discrete time translational symmetry as well. In this paper, we classify the discrete Poincar\'{e} groups on two- and three-dimensional Bravais lattices. They are the candidate symmetry groups of two- or three-dimensional crystals, respectively. The group is determined by an integer generator $g$, and it reduces to the space group of crystals at $g=2$.

### Journal Details

Name: Journal of physics. Condensed matter : an Institute of Physics journal
ISSN: 1361-648X
Pages:

## PubMed Articles [2791 Associated PubMed Articles listed on BioPortfolio]

Quantum Time Crystals from Hamiltonians with Long-Range Interactions.

Time crystals correspond to a phase of matter where time-translational symmetry (TTS) is broken. Up to date, they are well studied in open quantum systems, where an external drive allows us to break d...

Creation of Dirac nodal line by extrinsic symmetry engineering.

The formation of Dirac nodal line (DNL) requires intrinsic symmetry that can protect degeneracy of continuous Dirac points in momentum space. Here, as an alternative approach, we propose an extrinsic ...

Electronic transitions in layered hydroxides: Consequences of trigonal distortion of octahedral symmetry.

This work describes the assignment of the electronic spectra of metal ions in D coordination symmetry. Layered hydroxides are a class of materials that host transition metal ions such as Ni, Co, and C...

Different neural representations for detection of symmetry in dot-patterns and in faces: A state-dependent TMS study.

The occipital face area (OFA) has been shown to code the presence of symmetry in faces and in vertically symmetric dot patterns. However, it is not clear whether symmetry processing of face and non-fa...

Non-Bloch ${\cal P}{\cal T}$PT symmetry breaking in non-Hermitian photonic quantum walks.

A hallmark of topological band theory in periodic media is that bulk properties are not affected by boundary conditions. Remarkably, in certain non-Hermitian lattices, the bulk properties are affected...

## Clinical Trials [491 Associated Clinical Trials listed on BioPortfolio]

Comparison of the Effects of Controlled Schroth Exercise and Home Exercise Programs

The aim of this study is to compare the effects of Schroth 3D exercise method on home symmetry, trunk topography, scapula symmetry, pelvic symmetry, health related quality of life and cosm...

Discrete Hypothermia in the Management of Traumatic Brain Injury

The primary goal of this project is to demonstrate the feasibility and clinical benefits of a new rapid treatment for secondary treatment for secondary brain injury called Discrete Cerebra...

Improving Physical Activity and Gait Symmetry After Total Knee Arthroplasty

The purpose of this pilot study is to examine the effectiveness of the Physical Activity and Symmetry (PAS) program, compared to an attention (ATT)control group, for patients with post-tot...

Preferences in Pain Treatment: A Discrete Choice Experiment in Patients With Peripheral Neuropathic Pain (pNP)

The objective of this study is to identify and weight attributes of topic and systemic pain treatment options relevant from the patients' perspective with peripheral neuropathic pain. The ...

Effects of Training Rhythmic and Discrete Aiming Movements on Arm Control and Functionality After Stroke

The purpose of this study is to verify the additional effects of rhythmic specific training, discrete specific training additional to conventional therapy on the upper limb after chronic s...

## Medical and Biotech [MESH] Definitions

A class of unsegmented helminths with fundamental bilateral symmetry and secondary triradiate symmetry of the oral and esophageal structures. Many species are parasites.

A type of constriction that is caused by the presence of a fibrous ring (discrete type) below the AORTIC VALVE, anywhere between the aortic valve and the MITRAL VALVE. It is characterized by restricted outflow from the LEFT VENTRICLE into the AORTA.

A family of unenveloped RNA viruses with cubic symmetry. The twelve genera include ORTHOREOVIRUS; ORBIVIRUS; COLTIVIRUS; ROTAVIRUS; Aquareovirus, Cypovirus, Phytoreovirus, Fijivirus, Seadornavirus, Idnoreovirus, Mycoreovirus, and Oryzavirus.

Any discrete, presumably solitary, mass of neoplastic PLASMA CELLS either in BONE MARROW or various extramedullary sites.

The common name for the phylum of microscopic unicellular ALGAE. Most are aquatic, being found in fresh, brackish, and salt water. Diatoms are noted for the symmetry and sculpturing of their siliceous cell walls. They account for 40% of PHYTOPLANKTON, but not all diatoms are planktonic.

Quick Search